Prof. Martin R. Zirnbauer

All of my publications since 1994 are available on the arXiv.
(Use the search function on

Some personal favorites among my papers are listed below.

R. Bondesan, D. Wieczorek, and M.R. Zirnbauer,
Gaussian free fields at the integer quantum Hall plateau transition,
Nucl. Phys. B 918 (2017) 52

R. Kennedy and M.R. Zirnbauer,
Bott periodicity for Z/2Z symmetric ground states of gapped free-fermion systems,
Commun. Math. Phys. 342 (2016) 909

I.A. Gruzberg, A.D. Mirlin, and M.R. Zirnbauer,
Classification and symmetry properties of scaling dimensions at Anderson transitions,
Phys. Rev. B 87 (2013) 125144

J. Müller-Hill and M.R. Zirnbauer,
Equivalence of domains for hyperbolic Hubbard-Stratonovich transformations,
J. Math. Phys. 52 (2011) 053506

M. Disertori, T. Spencer, and M.R. Zirnbauer,
Quasi-diffusion in a 3D supersymmetric hyperbolic sigma model,
Commun. Math. Phys. 300 (2010) 435

S. Mandt and M.R. Zirnbauer,
Zooming in on local level statistics by supersymmetric extension of free probability,
J. Phys. A 43 (2010) 025201

A. Alldridge, J. Hilgert, and M.R. Zirnbauer,
Chevalley's restriction theorem for reductive symmetry superpairs,
J. Alg. 323 (2010) 1159

P. Littelmann, H.-J. Sommers, and M.R. Zirnbauer,
Superbosonization of invariant random matrix ensembles,
Commun. Math. Phys. 283 (2008) 343

J.B. Conrey, D.W. Farmer, and M.R. Zirnbauer,
Auto correlation of ratios of L-functions,
Communications in Number Theory and Physics 2 (2008) 593

A. Huckleberry, A. Püttmann, and M.R. Zirnbauer,
Haar expectations of random characteristic polynomials, (70 pages)

M. Lesch, F. Merz, and M.R. Zirnbauer,
Electrical conductivity and scattering matrix for Dirac operators on manifolds with cylindrical contact, Preprint (40 pages)

T. Lueck, H.-J. Sommers, and M.R. Zirnbauer,
Energy correlations for a random matrix model of disordered bosons,
J. Math. Phys. 47 (2006) 103304

P. Heinzner, A. Huckleberry, and M.R. Zirnbauer,
Symmetry classes of disordered fermions,
Commun. Math. Phys. 257 (2005) 725

R. Klesse and M.R. Zirnbauer,
Point-contact conductances from density correlations,
Phys. Rev. Lett. 86 (2001) 2094

M.R. Zirnbauer, Toward a theory of the integer quantum Hall transition: continuum limit of the Chalker-Coddington model, J. Math. Phys. 38 (1997) 2007

M.R. Zirnbauer,
Supersymmetry for systems with unitary disorder: circular ensembles,
J. Phys. A 29 (1996) 7113

M.R. Zirnbauer,
Riemannian symmetric superspaces and their origin in random matrix theory,
J. Math. Phys. 37 (1996) 4986

A.Altland and M.R. Zirnbauer,
Non-standard symmetry classes in mesoscopic normal-/superconducting hybrid structures,
Phys. Rev. B 55 (1997) 1142

F.D.M. Haldane and M.R. Zirnbauer, Exact calculation of the ground-state dynamic spin correlation function of an S = 1/2 antiferromagnetic Heisenberg chain with free spinons,
Phys. Rev. Lett. 71 (1993) 4055

V.E. Kravtsov and M.R. Zirnbauer,
Kramers degeneracy and quantum jumps in the persistent current of disordered metal rings,
Phys. Rev. B 46 (1992) 4332

M.R. Zirnbauer,
Fourier analysis on a hyperbolic supermanifold of constant curvature,
Commun. Math. Phys. 141 (1991) 503

M.R. Zirnbauer,
Localization transition on the Bethe lattice,
Phys. Rev. B 34 (1986) 6394

P. Vogel and M.R. Zirnbauer,
Suppression of the two-neutrino double-beta decay by nuclear structure effects,
Phys. Rev. Lett. 57 (1986) 3148

J.J.M. Verbaarschot, H.A. Weidenmüller, and M.R. Zirnbauer,
Grassmann variables in stochastic quantum physics: the case of compound-nucleus scattering,
Phys. Rep. 129 (1985) 367