Murray Batchelor

Q: What Schools Are Affiliated With Murray Batchelor

Murray Batchelor is affiliated with the following schools: Chongqing University, University of New South Wales, University of Melbourne, Australian National University

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Murray Batchelor

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Physics

Murray Batchelor's Degrees

Bachelors Physics University of Melbourne
PhD Physics University of Melbourne

Why Is Murray Batchelor Influential?

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According to Wikipedia, Murray Thomas Batchelor is an Australian mathematical physicist. He is best known for his work in mathematical physics and theoretical physics. Academic career Batchelor was educated at Chatham Public School and Chatham High School . He completed an Honours degree in Theoretical Physics at the University of New South Wales in 1983, graduating with 1st class honours and a University Medal. Batchelor completed a PhD in Mathematics at the Australian National University in 1987.

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Murray Batchelor's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Surface exponents of the quantum XXZ, Ashkin-Teller and Potts models (1987) (392)
Beautiful Models: 70 Years of Exactly Solved Quantum Many-Body Problems (2005) (309)
Fermi gases in one dimension: From Bethe ansatz to experiments (2013) (289)
Central charges of the 6- and 19-vertex models with twisted boundary conditions (1991) (216)
Conformal invariance, the XXZ chain and the operator content of two-dimensional critical systems (1988) (198)
$q$ Deformations of the O(3) Symmetric Spin 1 Heisenberg Chain (1990) (174)
Conformal anomaly and surface energy for Potts and Ashkin-Teller quantum chains (1987) (143)
Conformal invariance and the spectrum of the XXZ chain. (1987) (112)
Analytical eigenstates for the quantum Rabi model (2013) (105)
The quantum Rabi model: solution and dynamics (2016) (101)
LETTER TO THE EDITOR: The quantum symmetric XXZ chain at Delta = - 1/2 , alternating-sign matrices and plane partitions (2001) (101)
Spectrum of the biquadratic spin-1 antiferromagnetic chain. (1989) (97)
The Quantum Symmetric Xxz Chain at ∆ = − , Alternating Sign Matrices and Plane Partitions (92)
Semi-classical and quantum Rabi models: in celebration of 80 years (2016) (91)
Exact Expressions for Correlations in the Ground State of the Dense O(1) Loop Model (2004) (81)
Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices (1994) (81)
Exact solution and interfacial tension of the six-vertex model with anti-periodic boundary conditions (1995) (79)
One-dimensional interacting anyon gas: low-energy properties and Haldane exclusion statistics. (2006) (75)
The Bethe ansatz after 75 years (2007) (70)
Phase transitions and pairing signature in strongly attractive Fermi atomic gases (2007) (70)
Bethe ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions (2005) (64)
An analytic treatment of finite-size corrections in the spin-1 antiferromagnetic XXZ chain (1990) (59)
Exact solution for the spin-s XXZ quantum chain with non-diagonal twists (1995) (59)
Demonstration of emittance compensation through the measurement of the slice emittance of a 10-ps electron bunch. (1996) (58)
Exact results for the adsorption of a flexible self-avoiding polymer chain in two dimensions. (1994) (58)
Critical properties of the Izergin-Korepin and solvable O(n) models and their related quantum spin chains (1992) (57)
Solutions of the reflection equation for face and vertex models associated with An(1), Bn(1), Cn(1), Dn(1) and An(2) (1996) (54)
Theoretical and experimental results for p-type GaAs electrolyte electroreflectance. (1990) (53)
A mechanism for the hydration force demonstrated in a model system (1988) (50)
Conformal anomaly and scaling dimensions of the O(n) model from an exact solution on the honeycomb lattice. (1988) (47)
Yang–Baxter integrable models in experiments: from condensed matter to ultracold atoms (2015) (47)
Integrable models and quantum spin ladders: comparison between theory and experiment for the strong coupling ladder compounds (2005) (46)
The 1D interacting Bose gas in a hard wall box (2005) (44)
Exact results for Hamiltonian walks from the solution of the fully packed loop model on the honeycomb lattice. (1994) (43)
Ferromagnetic behavior in the strongly interacting two-component Bose gas (2007) (40)
The XXZ spin chain at Δ=−1/2: Bethe roots, symmetric functions, and determinants (2001) (39)
Temperley-Lieb lattice models arising from quantum groups (1991) (38)
Critical behaviour of the fully packed loop model on the square lattice (1996) (38)
The Bethe ansatz for 1D interacting anyons (2006) (37)
Bethe-Ansatz results for a solvable O(n) model on the square lattice. (1989) (35)
Algebraic equations for the exceptional eigenspectrum of the generalized Rabi model (2015) (34)
Spin-s quantum chains and Temperley-Lieb algebras (1990) (34)
Conformal invariance and critical behavior of the O(n) model on the honeycomb lattice. (1989) (33)
Deterministic KPZ model for stromatolite laminae (2000) (32)
Exact results for the one-dimensional mixed boson-fermion interacting gas (2005) (32)
Integrability versus exact solvability in the quantum Rabi and Dicke models (2014) (31)
Generalized Exclusion Statistics and Degenerate Signature of Strongly Interacting Anyons (2006) (29)
Evidence for the super Tonks–Girardeau gas (2005) (29)
Limits to Eden growth in two and three dimensions (1991) (28)
New Li2-xCuxFeS2 (0 <= x <= 1) and CuxFeS2 (~0.25 <= x <= 1) phases. (1989) (28)
Analytical energy spectrum for hybrid mechanical systems (2013) (28)
Temperature-dependent local geometries in the system Al(100)-c(2 x 2)-Na: A surface extended x-ray-absorption fine-structure study. (1992) (27)
Analytic thermodynamics and thermometry of Gaudin-Yang Fermi gases. (2009) (27)
Statistical physics and stromatolite growth: new perspectives on an ancient dilemma (2004) (25)
Surface energy of integrable quantum spin chains (1990) (24)
q-DEFORMATIONS OF QUANTUM SPIN CHAINS WITH EXACT VALENCE-BOND GROUND STATES (1994) (24)
Magnetic phase transitions in one-dimensional strongly attractive three-component ultracold fermions. (2007) (24)
Exact results for the 1D interacting Fermi gas with arbitrary polarization (2005) (23)
Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures (2008) (22)
Realization of effective super Tonks-Girardeau gases via strongly attractive one-dimensional Fermi gases (2009) (22)
Exact results for the thermal and magnetic properties of strong coupling ladder compounds. (2003) (21)
A biofilm and organomineralisation model for the growth and limiting size of ooids (2017) (21)
Crystal structure of Li2FeS2. (1988) (20)
Exact solution and surface critical behaviour of an O(n) model on the honeycomb lattice (1993) (19)
One-dimensional anyons with competing δ-function and derivative δ-function potentials (2008) (19)
Franz-Keldysh and band-filling effects in the electroreflectance of highly doped p-type GaAs. (1992) (19)
Collective dispersion relations for the one-dimensional interacting two-component Bose and Fermi gases (2005) (19)
Surface critical behaviour of the honeycomb O(n) loop model with mixed ordinary and special boundary conditions (1995) (18)
Polylogs, thermodynamics and scaling functions of one-dimensional quantum many-body systems (2010) (18)
Energy landscape and conical intersection points of the driven Rabi model (2015) (18)
Fermionization and fractional statistics in the strongly interacting one-dimensional Bose gas (2006) (17)
A finite lattice study of the critical behaviour of the two-dimensional biaxial next-nearest-neighbour Ising model (1987) (17)
Some finite-size amplitudes and critical exponents for Potts and Ashkin-Teller quantum chains (1988) (17)
The rotor model and combinatorics (2002) (16)
Addendum to ‘Algebraic equations for the exceptional eigenspectrum of the generalized Rabi model’ (2016) (16)
The hidden symmetry of the asymmetric quantum Rabi model (2020) (16)
Thermal and magnetic properties of spin-1 magnetic chain compounds with large single-ion and in-plane anisotropies (2004) (15)
Wilson ratio of fermi gases in one dimension. (2013) (15)
Two-dimensional polymer networks at a mixed boundary: Surface and wedge exponents (1998) (14)
Continuum model for radial interface growth (1998) (14)
O(n) model on the honeycomb lattice via reflection matrices: Surface critical behaviour (1995) (14)
Universal Tomonaga-Luttinger liquid phases in one-dimensional strongly attractive SU(N) fermionic cold atoms (2009) (14)
Unified description of pairing, trionic and quarteting states for one-dimensional SU(4) attractive fermions (2009) (13)
Surface critical phenomena and scaling in the eight-vertex model. (1995) (13)
Ground state energy and mass gap of a generalized quantum spin ladder (1999) (13)
Correlation lengths and E8 mass spectrum of the dilute A3 lattice model (1997) (13)
Ground State of 1D Bosons with Delta Interaction: Link to the BCS Model (2003) (13)
Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization (2009) (13)
Variational approach to the scaling function of the 2D Ising model in a magnetic field (2008) (13)
Analytical thermodynamics of a strongly attractive three-component Fermi gas in one dimension (2010) (13)
Logarithmic corrections to finite-size scaling in the four-state Potts model (1988) (13)
Finite-temperature fidelity and von Neumann entropy in the honeycomb spin lattice with quantum Ising interaction (2016) (13)
Row transfer matrix spectra of cyclic solid-on-solid lattice models (1990) (12)
Collisionless absorption of femtosecond laser pulses in plasmas by nonlinear forces (1985) (12)
Scaling and universality in the two-dimensional Ising model with a magnetic field. (2010) (12)
Critical behaviour of the dilute O(n) Izergin-Korepin and dilute AL face models: Bulk properties (1996) (12)
Bethe ansatz calculations for the eight-vertex model on a finite strip (1987) (12)
Exactly Solvable su(N) Mixed Spin Ladders (2000) (12)
Spin excitations in the integrable open quantum group invariant supersymmetric t- J model (1996) (12)
Random walks on finite lattice tubes. (2003) (12)
Exactly solvable quantum spin tubes and ladders (1999) (11)
Magnetization plateaus in a solvable 3-leg spin ladder (1999) (11)
Thermal and magnetic properties of integrable spin-1 and spin- 3 / 2 chains with applications to real compounds (2004) (11)
Hidden symmetry and tunneling dynamics in asymmetric quantum Rabi models (2020) (11)
Diagonal K-matrices and transfer matrix eigenspectra associated with the G2(1) R-matrix (1995) (11)
Integrability as a consequence of discrete holomorphicity: the ZN model (2012) (11)
The quantum inverse scattering method with anyonic grading (2008) (11)
Phase diagram of the SU(8) quantum spin tube (1999) (10)
Quantum criticality and universal scaling of strongly attractive spin-imbalanced Fermi gases in a one-dimensional harmonic trap (2011) (10)
Thermodynamics, spin-charge separation, and correlation functions of spin-1/2 fermions with repulsive interaction (2011) (10)
Exact solution for random walks on the triangular lattice with absorbing boundaries (2002) (10)
The importance of being integrable: Out of the paper, into the lab (2014) (10)
Exactly solvable models and ultracold Fermi gases (2010) (10)
Statistical physics on the eve of the 21st century : in honour of J B McGuire on the occasion of his 65th birthday (1999) (9)
Surface critical phenomena in interaction-round-a-face models (1995) (9)
Branching in the zero-noise limit of discrete Laplacian growth processes. (1992) (9)
Hidden symmetry operators for asymmetric generalized quantum Rabi models (2021) (9)
Integrability as a consequence of discrete holomorphicity: loop models (2014) (9)
Exact solution and surface critical behaviour of open cyclic SOS lattice models (1996) (9)
Exact results for the critical behaviour of a Nienhuis O(n) model on the square lattice (1993) (8)
Geometric entanglement and quantum phase transitions in two-dimensional quantum lattice models (2016) (8)
Universal local pair correlations of Lieb-Liniger bosons at quantum criticality (2012) (8)
Magnetization plateaux in Bethe ansatz solvable spin-S ladders (2003) (8)
LETTER TO THE EDITOR: Exactly solvable quantum spin ladders associated with the orthogonal and symplectic Lie algebras (1999) (7)
Exactly solved models and beyond: a special issue in honour of R J Baxter’s 75th birthday (2016) (7)
Surface critical behaviour of an O(n) loop model related to two Manhattan lattice walk problems (1995) (7)
Quantum Phase Diagram of an Exactly Solved Mixed Spin Ladder (2003) (7)
Collapse of a polymer in two dimensions (1997) (7)
Comparative study of large-scale Laplacian growth patterns. (1995) (7)
Energy spectrum and critical exponents of the free parafermion ZN spin chain (2016) (7)
Note on the thermodynamic Bethe ansatz approach to the quantum phase diagram of the strong coupling ladder compounds (2003) (7)
Excitations in the dilute lattice model: , and mass spectra (1998) (7)
Quantum criticality of spin-1 bosons in a one-dimensional harmonic trap (2011) (7)
Extraordinary transition in the two-dimensional O(n) model (1997) (7)
Growth and form in the zero-noise limit of discrete Laplacian growth processes with inherent surface tension (1992) (7)
Magnetism of one-dimensional strongly repulsive spin-1 bosons with antiferromagnetic spin exchange interaction (2009) (6)
Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction (2012) (6)
Thermodynamic properties of an integrable quantum spin ladder with boundary impurities (2003) (6)
The asymmetric quantum Rabi model and generalised Pöschl–Teller potentials (2018) (6)
Reflection equations and surface critical phenomena (1996) (6)
Hidden symmetry in the biased Dicke model (2021) (6)
The antiferromagnetic cross-coupled spin ladder: Quantum fidelity and tensor networks approach (2015) (6)
Fulde-Ferrell-Larkin-Ovchinnikov correlation and free fluids in the one-dimensional attractive Hubbard model (2017) (6)
Linear and optimal non-linear control of one-dimensional maps (1997) (6)
Nonorthogonal-qubit-state expansion for the asymmetric quantum Rabi model (2020) (6)
The 1D Bose Gas with Weakly Repulsive Delta Interaction (2004) (6)
Effective super Tonks-Girardeau gases as ground states of strongly attractive multicomponent fermions (2010) (6)
LETTER TO THE EDITOR: An Ising model in a magnetic field with a boundary (1995) (5)
Asymptotic Bethe-ansatz solution for one-dimensional SU(2) spinor bosons with finite-range Gaussian interactions (2011) (5)
Exact transfer-matrix enumeration and critical behaviour of self-avoiding walks across finite strips (1994) (5)
Generalized adiabatic approximation to the quantum Rabi model (2021) (5)
Comment on 'Solutions of the Yang-Baxter equation for isotropic quantum spin chains' (1994) (5)
Generalized adiabatic approximation to the asymmetric quantum Rabi model: conical intersections and geometric phases (2020) (5)
Anomalous bulk behavior in the free parafermion Z(N) spin chain. (2018) (5)
Fractal dimensions of zero-noise diffusion-limited aggregation (1992) (5)
Asymptotic correlation functions and FFLO signature for the one-dimensional attractive Hubbard model (2017) (4)
Disorder solutions of lattice spin models (1989) (4)
Integrable su(2)-invariant spin chains and the Haldane conjecture (1994) (4)
Yang–Yang method for the thermodynamics of one-dimensional multi-component interacting fermions (2010) (4)
The Inversion Relation and the Dilute A3, 4, 6 Eigenspectrum (2000) (4)
Degenerate ground states and multiple bifurcations in a two-dimensional q-state quantum Potts model. (2014) (4)
Coupled model of wave damping, quasilinear heating, and radial transport applied to bumpy tori. (1987) (4)
LETTER TO THE EDITOR: Magnetic correlation length and universal amplitude of the lattice ? Ising model (1997) (4)
Surface operator content of the AL face models (1997) (4)
Finite lattice methods in statistical mechanics (1987) (4)
Universal Order Parameters and Quantum Phase Transitions: A Finite-Size Approach (2014) (4)
Groundstate fidelity phase diagram of the fully anisotropic two-leg spin-½ XXZ ladder (2017) (4)
Gene Stanley, the n-vector model and random walks with absorbing boundaries (2002) (3)
Universal thermodynamics of the one-dimensional attractive Hubbard model (2017) (3)
Conical Intersections and Geometric Phases in the Asymmetric Quantum Rabi Model (2020) (3)
Thermodynamics and spin-charge separation of one-dimensional strongly repulsive three-component fermions (2011) (3)
Diffusion-limited aggregation with Eden growth surface kinetics (1994) (3)
Erratum: Conformal anomaly and scaling dimensions of the O(n) model from an exact solution on the honeycomb lattice [Phys. Rev. Lett. 61, 138 (1988)] (1988) (3)
SURFACE WIDTH SCALING IN NOISE REDUCED EDEN CLUSTERS (1998) (3)
Entanglement entropy and massless phase in the antiferromagnetic three-state quantum chiral clock model (2016) (3)
Who cares what's new? (1997) (3)
The O(n) Loop Model on the 3–12 Lattice (1998) (3)
Some ground-state expectation values for the free parafermion Z(N) spin chain (2019) (3)
Mean-field analysis of Williams–Bjerknes-type growth (1998) (3)
Recurrence relations for self-avoiding walks and polygons in rectangular domains (1994) (2)
The dilute A4 model, the E7 mass spectrum and the tricritical Ising model (2001) (2)
Free Energies and Critical Exponents of the A1(1) Bn(1) Cn(1) and Dn(1) Face Models. (1997) (2)
Publisher's note: Universal local pair correlations of lieb-liniger bosons at quantum criticality (2013) (2)
PATTERN FORMATION IN AN ETCHED RADIAL HELE SHAW CELL (1996) (2)
QUANTUM SPIN CHAINS: CONFORMAL INVARIANCE AND INTEGRABILITY (1990) (2)
Tip lengths and whiskering in noise-reduced diffusion-limited aggregation (1993) (2)
Growth and form of zero-noise diffusion-limited-aggregation on the cubic lattice (1996) (1)
The surprising connection between exactly solved lattice models and discrete holomorphicity (2012) (1)
A coupled Temperley–Lieb algebra for the superintegrable chiral Potts chain (2020) (1)
Symmetry-protected trivial phases and quantum phase transitions in an anisotropic antiferromagnetic spin-1 biquadratic model (2019) (1)
Uq[SU(2)]-Invariant Spin Chains, Related Algebras and Finite-Size Corrections (2013) (1)
Se p 20 04 Thermal and magnetic properties of integrable spin-1 and spin-32 chains with applications to real compounds (2004) (1)
Sparse matrix factorizations of transfer matrices (1987) (1)
Reflection Matrices and Polymers at a Surface (1995) (1)
Comment on "Comment on "Integrability of the Rabi Model"" (2015) (1)
Ground-state energy of some staggered spin-(1/2 antiferromagnetic XXZ Heisenberg chains. (1989) (1)
SLE(κ, ρ) processes, hiding exponents and self-avoiding walks in a wedge (2007) (1)
Exceptional Points in the Baxter-Fendley Free Parafermion Model (2023) (0)
HALF-OPERATORISATION OF A FUNCTION AND PHYSICAL APPLICATIONS (1996) (0)
Exact results for the 1D mixed Bose-Fermi interacting gas (2005) (0)
Exactly solved lattice models: from polymer networks to an Ising model in a magnetic field (1998) (0)
Today The Bethe ansatz after 75 years (2015) (0)
Form and scaling of radial growth (2000) (0)
Quantum criticality of spin one boson in a 1D harmonic trap (2012) (0)
Thermal critical exponents of the q-state Potts model (2017) (0)
EXACTLY SOLVED LATTICE MODELS AND THE STATISTICAL PHYSICS OF POLYMER CHAINS(Session III : Complex Fluids, The 1st Tohwa University International Meeting on Statistical Physics Theories, Experiments and Computer Simulations) (1996) (0)
Thermodynamics and correlation functions of spin-1/2 fermions with repulsive interaction (2011) (0)
A biofilm and organomineralisation model for the growth and limiting size of ooids (2018) (0)
INTERACTING MULTI-COMPONENT FERMIONS AND THE YANG-BAXTER EQUATION: FUTURE PROSPECTS (2008) (0)
2 2 M ay 2 01 8 Anomalous bulk behaviour in the free parafermion Z ( N ) spin chain (2018) (0)
2 1 Ju l 2 00 8 Quantum Inverse Scattering Method with anyonic grading (2008) (0)
Exact solutions for restricted walks with applications to polymers (1991) (0)
Microbialtes of Hamelin Pool and Lake Clifton , Western Australia (2008) (0)
Goldstone modes and the golden spiral in the ferromagnetic spin-1 biquadratic model (2023) (0)
Collapse of a Polymer in Two Dimensions Collapse of a Polymer in Two Dimensions (2007) (0)
PT-Symmetric Quantum Rabi Model (2022) (0)
Trions, pairing and phase transitions in one-dimensional strongly attractive three-component ultracold fermions (2007) (0)
The antiferromagnetic cross-coupled spin ladder: Quantum fidelity and tensor networks approach (2016) (0)
The integrable open XXZ chain with broken Z_2 symmetry (1998) (0)
Exact results for the 1D interacting mixed Bose-Fermi gas (2005) (0)
A Publication of the American Physical Society Scientists Can Bring Truth to the Public Arena By (0)
Ultracold Fermi Gases in One and Quasi-one Dimension (2010) (0)
Thermodynamics and quantum criticality of strongly attractive spin-imbalanced Fermi gases in a 1D harmonic trap (2011) (0)
The art of sangaku (2008) (0)
Exact thermodynamics of the Gaudin-Yang Fermi gas (2010) (0)
Some Applications of Exactly Solved Models in Statistical Mechanics (2000) (0)
Comment on ‘Parameter-dependent unitary transformation approach for quantum Rabi model’ (2021) (0)
Quantum fidelity approach to detecting quantum phases: revisiting the bond alternating Ising chain (2015) (0)
How to submit your research (2013) (0)
Phase transitions and pairing signature in 1D Fermi gases (2007) (0)
Critical behaviour of the BNNNI model in two dimensions (1986) (0)
Entanglement entropy for scale-invariant states: universal finite-size scaling (2023) (0)
THEORETICAL ANALYSIS OF THE DOUBLE SPIN CHAIN COMPOUND KCuCl3 (2005) (0)
FFLO correlation and free-Fermi liquids in the one-dimensional attractive Hubbard model (2017) (0)
Noncollisional absorption of femtosecond laser pulses in plasmas by nonlinear forces (1985) (0)

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