Rodney Baxter
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Australian physicist
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Physics
Rodney Baxter's Degrees
- Bachelors Physics University of Melbourne
Why Is Rodney Baxter Influential?
(Suggest an Edit or Addition)According to Wikipedia, Rodney James Baxter FRS FAA is an Australian physicist, specialising in statistical mechanics. He is well known for his work in exactly solved models, in particular vertex models such as the six-vertex model and eight-vertex model, and the chiral Potts model and hard hexagon model. A recurring theme in the solution of such models, the Yang–Baxter equation, also known as the "star–triangle relation", is named in his honour.
Rodney Baxter'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
- Exactly solved models in statistical mechanics (1982) (7230)
- Partition function of the eight vertex lattice model (1972) (1415)
- Potts model at the critical temperature (1973) (494)
- Eight-Vertex Model in Lattice Statistics (1971) (455)
- Hard hexagons: exact solution (1980) (418)
- Surface exponents of the quantum XXZ, Ashkin-Teller and Potts models (1987) (392)
- One-dimensional anisotropic Heisenberg chain (1971) (383)
- New solutions of the star-triangle relations for the chiral potts model (1988) (309)
- Eight-Vertex Model in Lattice Statistics and One-Dimensional Anisotropic Heisenberg Chain (1973) (305)
- Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. I. Some fundamental eigenvectors (1973) (288)
- Solvable eight-vertex model on an arbitrary planar lattice (1978) (281)
- Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. II. Equivalence to a generalized ice-type lattice model (1973) (251)
- The inversion relation method for some two-dimensional exactly solved models in lattice statistics (1982) (241)
- Exact Solution of an Ising Model with Three-Spin Interactions on a Triangular Lattice (1973) (208)
- Equivalence of the Potts model or Whitney polynomial with an ice-type model (1976) (193)
- Dimers on a Rectangular Lattice (1968) (181)
- FUNCTIONAL RELATIONS FOR TRANSFER MATRICES OF THE CHIRAL POTTS MODEL (1990) (142)
- Triangular Potts model at its transition temperature, and related models (1978) (141)
- Critical antiferromagnetic square-lattice Potts model (1982) (129)
- New solvable lattice models in three dimensions (1992) (128)
- Further exact solutions of the eight-vertex SOS model and generalizations of the Rogers-Ramanujan identities (1985) (126)
- Completeness of the Bethe Ansatz for the Six and Eight-Vertex Models (2001) (125)
- Colorings of a Hexagonal Lattice (1970) (122)
- Variational approximations for square lattice models in statistical mechanics (1978) (116)
- q colourings of the triangular lattice (1986) (108)
- Free-fermion, checkerboard and Z-invariant lattice models in statistical mechanics (1986) (105)
- Superintegrable chiral Potts model: Thermodynamic properties, an “inverse” model, and a simple associated Hamiltonian (1989) (105)
- Chromatic polynomials of large triangular lattices (1987) (99)
- Hard hexagons: interfacial tension and correlation length (1982) (98)
- Generalized Ferroelectric Model on a Square Lattice (1971) (97)
- Rogers-Ramanujan identities in the hard hexagon model (1981) (95)
- Lattice gas generalization of the hard hexagon model. III.q-Trinomial coefficients (1987) (93)
- On Zamolodchikov's solution of the tetrahedron equations (1983) (88)
- Corner transfer matrices of the eight-vertex model. I. Low-temperature expansions and conjectured properties (1976) (85)
- Solving Models in Statistical Mechanics (1989) (82)
- Baxter equations and the Zamolodchikov model (1986) (80)
- Exact solution and interfacial tension of the six-vertex model with anti-periodic boundary conditions (1995) (79)
- Planar lattice gases with nearest-neighbor exclusion (1998) (76)
- The superintegrable chiral potts model (1988) (75)
- Eight-Vertex Model in Lattice Statistics and One-Dimensional Anisotropic Heisenberg Chain: II. Equivalence to a Generalized Ice-type Lattice Model (1990) (70)
- Star-triangle relation for a three-dimensional model (1993) (69)
- Corner transfer matrices of the eight-vertex model. II. The Ising model case (1977) (67)
- Partitions with Prescribed Hook Differences (1987) (67)
- Chiral Potts model: Eigenvalues of the transfer matrix (1990) (64)
- The Order Parameter of the Chiral Potts Model (2005) (62)
- Three‐Colorings of the Square Lattice: A Hard Squares Model (1970) (61)
- Asymptotically degenerate maximum eigenvalues of the eight-vertex model transfer matrix and interfacial tension (1973) (60)
- Entropy of hard hexagons (1980) (59)
- Free energy of the solvable chiral Potts model (1988) (59)
- 399th solution of the Ising model (1978) (58)
- Spontaneous staggered polarization of the F model (1973) (57)
- Transfer Matrix Functional Relations for the Generalized τ2 (tq) Model (2004) (56)
- Spontaneous staggered polarization of theF-model (1973) (54)
- Series expansions from corner transfer matrices: The square lattice Ising model (1979) (51)
- Statistical mechanics of a one-dimensional Coulomb system with a uniform charge background (1963) (50)
- Hard squares with diagonal attractions (1983) (50)
- Series expansion of the percolation probability for the directed square lattice (1988) (49)
- On the spontaneous order of the eight-vertex model (1973) (49)
- Corner transfer matrices (1981) (47)
- Spontaneous polarization of the eight-vertex model (1974) (45)
- Chiral Potts model with skewed boundary conditions (1993) (44)
- A class of interaction-round-a-face models and its equivalence with an ice-type model (1987) (44)
- Magnetization of the three-spin triangular Ising model (1975) (44)
- A motivated proof of the Rogers-Ramanujan identities (1989) (42)
- Lattice gas generalization of the hard hexagon model. II. The local densities as elliptic functions (1986) (39)
- Magnetisation discontinuity of the two-dimensional Potts model (1982) (39)
- F Model on a Triangular Lattice (1969) (37)
- The Six and Eight-Vertex Models Revisited (2004) (35)
- Dichromatic Polynomials and Potts Models Summed Over Rooted Maps (2000) (34)
- A simple solvable ZN Hamiltonian (1989) (31)
- Surface free energy of the critical six-vertex model with free boundaries (1989) (31)
- Partition Function of the Eight-Vertex Lattice Model (1990) (30)
- Star-Triangle and Star-Star Relations in Statistical Mechanics (1997) (28)
- Interfacial tension of the chiral Potts model (1994) (26)
- A critical Ising model on the Labyrinth (1994) (26)
- Corner transfer matrices of the chiral Potts model. II. The triangular lattice (1993) (25)
- Onsager and Kaufman’s Calculation of the Spontaneous Magnetization of the Ising Model (2011) (25)
- Corner transfer matrices of the chiral Potts model (1991) (24)
- Functional Relations for the Order Parameters of the Chiral Potts Model (1998) (23)
- Hyperelliptic Function Parametrization for the Chiral Potts Model (1990) (22)
- Onsager and Kaufman’s Calculation of the Spontaneous Magnetization of the Ising Model: II (2011) (20)
- Many‐Body Functions of a One‐Dimensional Gas (1964) (19)
- Disorder points of the IRF and checkerboard Potts models (1984) (18)
- Some Remarks on a Generalization of the Superintegrable Chiral Potts Model (2009) (18)
- An investigation of the high-field series expansions for the square lattice Ising model (1980) (18)
- Spontaneous magnetization of the superintegrable chiral Potts model: calculation of the determinant DPQ (2009) (17)
- A Conjecture for the Superintegrable Chiral Potts Model (2008) (17)
- The “inversion relation” method for obtaining the free energy of the chiral Potts model (2002) (17)
- The three-spin Ising model as an eight-vertex model (1976) (17)
- Identification of the Near-Infrared Absorption Band from the Mn Cluster in Photosystem II (1999) (16)
- Local three-spin correlations in the free-fermion and planar Ising models (1989) (16)
- Is the Zamolodchikov model critical (1985) (15)
- The τ2 model and parafermions (2013) (15)
- The bulk, surface and corner free energies of the square lattice Ising model (2016) (15)
- Three-particle hyper-netted chain approximation (1968) (15)
- Some hyperelliptic function identities that occur in the chiral Potts model (1998) (14)
- Partition function of the three-dimensional Zamolodchikov model (1984) (14)
- Proof of the determinantal form of the spontaneous magnetization of the superintegrable chiral Potts model (2010) (13)
- A variational approximation for cubic lattice models in statistical mechanics (1984) (13)
- Spontaneous magnetizations of the ising model on the Union Jack lattice (1987) (13)
- Hard Squares for z = –1 (2007) (12)
- One‐Dimensional Gases with Hard‐Core Repulsion (1965) (11)
- Corner transfer matrices in statistical mechanics (2006) (11)
- Spontaneous magnetisations of the Ising model on the bathroom tile lattice (1988) (11)
- A special series expansion technique for the square lattice (1977) (11)
- Algebraic Reduction of the Ising Model (2008) (11)
- CHIRAL POTTS MODEL: CORNER TRANSFER MATRICES AND PARAMETRIZATIONS (1993) (10)
- Elliptic Parametrization of the Three-State Chiral Potts Model (1993) (10)
- Some comments on developments in exact solutions in statistical mechanics since 1944 (2010) (7)
- On solving the Ising model functional relation without elliptic functions (1991) (7)
- The Riemann Surface of the Chiral Potts Model Free Energy Function (2002) (7)
- The challenge of the chiral Potts model (2005) (7)
- Deviations from critical density in the generalised hard hexagon model (1984) (7)
- Duality of the three-dimensional Ising model with quartet interactions (1981) (7)
- Solvable models in statistical mechanics, from Onsager onward (1995) (6)
- Equivalence of the Two Results for the Free Energy of the Chiral Potts Model (1999) (6)
- Sorting Out the Potts Models (2005) (4)
- Free energy of the chiral Potts model in the scaling region (1996) (4)
- Partition function of a three-dimensional solvable model (1993) (3)
- A DIRECT PROOF OF KIM'S IDENTITIES (1998) (3)
- Generalised percolation probabilities for the self-dual Potts model (1987) (3)
- Surface and corner free energies of the self-dual Potts model (2016) (1)
- Bulk, surface and corner free energies of the anisotropic triangular Ising model: series expansions and critical behaviour (2019) (1)
- A Three-Dimensional Solvable Model (1993) (1)
- The bulk, surface and corner free energies of the anisotropic triangular Ising model (2020) (1)
- Development of Solvable Models in Statistical Mechanics (1992) (1)
- Hyperelliptic parametrisation of the generalised order parameter of the N = 3 chiral Potts model (2006) (1)
- Numerical results for the three-state critical Potts model on finite rectangular lattices (1995) (1)
- ZERO-TEMPERATURE SKEWED CHIRAL POTTS MODEL (1994) (0)
- Solvable models in statistical mechanics: from Ising to chiral Potts (2000) (0)
- Free energy of the three-state τ2(tq) model as a product of elliptic functions (2006) (0)
- International Association of Mathematical Physics News Bulletin (2021) (0)
- Addendum to: “Transfer Matrix Functional Relations for the Generalized τ2(tq) Model, Journal of Statistical Physics 117, 1–25 (2004)” (2006) (0)
- Eight-Vertex Model in Lattice Statistics and One-Dimensional Anisotropic Heisenberg Chain: I. Some Fundamental Eigenvectors (1990) (0)
- SCRATCHPAD Explorations for Elliptic Theta Functions (2020) (0)
- One-Dimensional Hamiltonians and Two-Dimensional Statistical Mechanical Models: Functional Relations For Local Correlations (1998) (0)
- Aspects of the statistical mechanics of gases (1964) (0)
- On the equilibrium properties of a two-dimensional system of particles with a repulsive radial interaction (1964) (0)
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