Martin Zirnbauer
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German physicist
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Physics
Martin Zirnbauer's Degrees
- PhD Physics University of Cologne
Why Is Martin Zirnbauer Influential?
(Suggest an Edit or Addition)According to Wikipedia, Martin R. Zirnbauer is a professor of theoretical physics at the University of Cologne. Zirnbauer studied at the Technical University of Munich and Oxford University, where he earned his PhD. In 1987 he was appointed at age 29 to Cologne. In 1996 he acquired his professorial chair. Among his foreign research sabbaticals, he visited the California Institute of Technology in Pasadena. His research specialty is the mathematical physics of mesoscopic systems.
Martin Zirnbauer'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
- Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures (1996) (1333)
- Grassmann integration in stochastic quantum physics: The case of compound-nucleus scattering (1985) (495)
- Riemannian symmetric superspaces and their origin in random‐matrix theory (1996) (456)
- Quantum spectra and transition from regular to chaotic classical motion (1984) (142)
- Symmetry Classes of Disordered Fermions (2004) (138)
- Autocorrelation of ratios of L-functions (2007) (126)
- Quasi-Diffusion in a 3D Supersymmetric Hyperbolic Sigma Model (2009) (97)
- Critique of the replica trick (1985) (96)
- Theories of low-energy quasi-particle states in disordered d-wave superconductors (2000) (85)
- Supersymmetry for systems with unitary disorder: circular ensembles (1996) (78)
- Fourier analysis on a hyperbolic supermanifold with constant curvature (1991) (74)
- Disordered 2d quasiparticles in class D: Dirac fermions with random mass, and dirty superconductors (1999) (73)
- Anderson localization and non-linear sigma model with graded symmetry (1986) (71)
- Superbosonization of Invariant Random Matrix Ensembles (2007) (69)
- Conformal field theory of the integer quantum Hall plateau transition (1999) (63)
- Conductance Fluctuations of Disordered Wires: Fourier Analysis on Supersymmetric Spaces (1994) (61)
- Spectral fluctuation properties of Hamiltonian systems: the transition region between order and chaos (1985) (60)
- Replica variables, loop expansion, and spectral rigidity of random-matrix ensembles (1984) (57)
- Bott Periodicity for $${\mathbb{Z}_2}$$Z2 Symmetric Ground States of Gapped Free-Fermion Systems (2014) (48)
- Howe pairs, supersymmetry, and ratios of random characteristic polynomials for the unitary groups U(N) (2005) (46)
- Microscopic approach to the interacting boson model (1982) (45)
- Point-contact conductances at the quantum Hall transition (1998) (44)
- Destruction of order in nuclear spectra by a residual GOE interaction (1983) (43)
- Toward a theory of the integer quantum Hall transition: Continuum limit of the Chalker–Coddington model (1997) (42)
- Towards a theory of the integer quantum Hall transition: From the nonlinear sigma model to superspin chains (1994) (40)
- Energy correlations for a random matrix model of disordered bosons (2006) (39)
- Spontaneous Symmetry Breaking of a Hyperbolic Sigma Model in Three Dimensions (2004) (38)
- The integer quantum Hall plateau transition is a current algebra after all (2018) (32)
- The supersymmetry method of random matrix theory (2004) (31)
- Shell-model and QRPA treatments of double beta decay (1988) (29)
- Bott Periodicity for Z2 Symmetric Ground States of Gapped Free-Fermion Systems (2015) (27)
- Another Critique of the Replica Trick (1999) (27)
- Particle–hole symmetries in condensed matter (2020) (25)
- Supersymmetry Approach to Wishart Correlation Matrices: Exact Results (2010) (24)
- Localization of quasiparticles in a disordered vortex (1998) (23)
- Microscopic approach to the interacting boson model: (II). Extension to neutron-proton systems and applications (1984) (23)
- Classification and symmetry properties of scaling dimensions at Anderson transitions (2012) (23)
- Superbosonization Formula and its Application to Random Matrix Theory (2007) (23)
- Instanton approximation to the graded nonlinear sigma model for the integer quantum hall effect (1988) (23)
- Double Gamma Decay in Ca-40 and Zr-90 (1984) (23)
- Evaluation of ensemble averages for simple Hamiltonians perturbed by a GOE interaction (1984) (23)
- Statistical nuclear theory as an Anderson model of dimensionality zero (1984) (21)
- WEAK LOCALIZATION OF DISORDERED QUASIPARTICLES IN THE MIXED SUPERCONDUCTING STATE (1998) (21)
- Gaussian free fields at the integer quantum Hall plateau transition (2016) (19)
- Symmetries of multifractal spectra and field theories of Anderson localization. (2011) (17)
- The color-flavor transformation and a new approach to quantum chaotic maps (1998) (16)
- Chiral metal as a ferromagnetic super spin chain (1996) (16)
- Bulk-Boundary Correspondence for Disordered Free-Fermion Topological Phases (2019) (16)
- Grassmann integration and the theory of compound-nucleus reactions (1984) (15)
- Symmetry classes in random matrix theory (2004) (15)
- Point-contact conductances from density correlations. (2000) (15)
- Localization fromσ-model geodesics (2004) (14)
- Supersymmetry Methods in Random Matrix Theory (2006) (13)
- Pure scaling operators at the integer quantum Hall plateau transition. (2013) (13)
- Haar expectations of ratios of random characteristic polynomials (2007) (12)
- Migdal‐Kadanoff renormalization of a nonlinear supervector model with hyperbolic symmetry (1992) (10)
- Chevalley's restriction theorem for reductive symmetric superpairs (2008) (10)
- Bott–Kitaev periodic table and the diagonal map (2014) (8)
- Conductance fluctuations of disordered mesoscopic devices with many weakly coupled probes (1993) (8)
- AUTOCORRELATION OF RATIOS OF CHARACTERISTIC POLYNOMIALS AND OF L-FUNCTIONS (2004) (8)
- Pair Correlations of Quantum Chaotic Maps from Supersymmetry (1998) (8)
- Hyperbolic Hubbard–Stratonovich transformation made rigorous (2008) (8)
- Det-Det correlations for quantum maps: Dual pair and saddle-point analyses (2001) (8)
- Universal spectral statistics of Andreev billiards: semiclassical approach. (2002) (7)
- (1+1)-dimensional baryons from the SU(N) color-flavor transformation (2001) (7)
- Howe duality for an induced model of lattice U(N) Yang-Mills theory (2003) (6)
- Scale-invariant Lyapunov exponents for classical hamiltonian systems (1985) (6)
- Equivalence of domains for hyperbolic Hubbard-Stratonovich transformations (2010) (5)
- Fourier inversion theorem in mesoscopic transport (1990) (5)
- Marginal CFT perturbations at the integer quantum Hall transition (2021) (5)
- Modularity, Periods and Quasiperiods at Special Points in Calabi-Yau Moduli Spaces (2020) (4)
- Erratum: “Toward a theory of the integer quantum Hall transition: Continuum limit of the Chalker–Coddington model” [J. Math. Phys. 38, 2007 (1997)] (1999) (4)
- Distribution of angular momenta in shell-model configurations (1981) (4)
- Nonhermitian Supersymmetric Partition Functions: the case of one bosonic flavor (2008) (3)
- QRPA calculation of neutrinoless double-beta decay (1988) (3)
- Hilbert Space Geometry of Random Matrix Eigenstates. (2020) (3)
- Coherent potential approximation for disordered bosons (2010) (3)
- Symmetry Classes (2010) (3)
- Altland and Zirnbauer Reply (1998) (2)
- Communications in Mathematical Physics Symmetry Classes of Disordered Fermions (2005) (2)
- Study on the Functioning of Land Markets in the EU member states under the Influence of Measures applied under the Common Agricultural Policy; Country Report Germany (2008) (1)
- Color-Flavor Transformation Revisited (2021) (1)
- Leibniz Institute of Agricultural Development in Central and Eastern Europe (2010) (1)
- Bulk-Boundary Correspondence for Disordered Free-Fermion Topological Phases (2019) (1)
- Of symmetries, symmetry classes, and symmetric spaces: from disorder and quantum chaos to topological insulators (2015) (1)
- O ct 1 99 9 Disordered 2 d quasiparticles in class D : Dirac fermions with random mass , and dirty superconductors (1)
- On symmetry-protected topological states : from free fermions to the Haldane phase (2019) (1)
- Reprint of: Marginal CFT perturbations at the integer quantum Hall transition (2021) (1)
- ELECTRICAL CONDUCTIVITY AND SCATTERING MATRIX FOR DIRAC OPERATORS ON MANIFOLDS WITH CYLINDRICAL CONTACTS (2007) (0)
- J an 2 01 0 Symmetry Classes January 5 , 2010 (2010) (0)
- Ju n 19 98 Localization of quasiparticles in a disordered vortex (1998) (0)
- Free probability meets supersymmetry (2010) (0)
- Complete solution of a model in statistical nuclear reaction theory (2008) (0)
- D ec 1 99 8 Localization of quasiparticles in a disordered vortex (1998) (0)
- 0 40 40 58 v 1 2 5 A pr 2 00 4 SYMMETRY CLASSES IN RANDOM MATRIX THEORY by (2008) (0)
- Primary Area of Specialization: General Theory of Relativity / Quantum Field Theory and Solid State Theory / Computational Physics (1987) (0)
- Wegner model on a tree graph: U(1) symmetry breaking and a non-standard phase of disordered electronic matter (2023) (0)
- A pr 2 00 0 Disordered 2 d quasiparticles in class D : Dirac fermions with random mass , and dirty superconductors (0)
- 1 De Rham Theory 1 . 1 Differential complexes Definition (2017) (0)
- 0 41 10 40 v 1 1 0 N ov 2 00 4 SYMMETRY CLASSES OF DISORDERED FERMIONS by (2008) (0)
- A new phase of disordered phonons modelled by random matrices (2015) (0)
- Hockney u. Eastwood: Computer Simulation Using Particles/Zangwill: Physics at Surfaces/Zirnbauer/Watt u. Grime: Principles and Applications of High-Energy Ion Microbeams/Batalin, Isham u. Vilkovisky: Quantum Field Theory and Quantum Statistics: Essays in (1988) (0)
- SU(2) LATTICE GAUGE THEORY IN THE ELECTRIC-FIELD REPRESENTATION (1988) (0)
- Supersymmetry Approach to Wishart Correlation Matrices: Exact Results (2012) (0)
- Haar expectations of ratios of random characteristic polynomials (2016) (0)
- Reply to the Comment by Casati et al. on (1997) (0)
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