Martin R. Zirnbauer

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Martin R. Zirnbauer (born April 25, 1958 in Moosburg ) is a German physicist and university professor . He is professor for theoretical physics at the University of Cologne and mainly deals with nuclear and solid state physics .

Life

Zirnbauer attended high school in Bad Tölz . He received a scholarship from the Studienstiftung des Deutschen Volkes and the Bavarian Talent Foundation and studied from 1976 at the Technical University of Munich with an intermediate diploma in 1978 and at Oxford University (Balliol College), where he obtained his master's degree in theoretical physics in 1980 and in 1982 with the nuclear physicist David M. Brink received his doctorate ( Microscopic approach to the interacting boson model ). From 1982 he was at the Max Planck Institute for Nuclear Physics in Heidelberg with Hans-Arwed Weidenmüller and from 1984 to 1987 at Caltech . Since 1987 he has been a professor at the University of Cologne, from 1996 with a full professorship.

plant

He dealt in particular with nuclear physics and solid state physics, which are often in the area of mesoscopic systems in the border area of ​​classical and quantum mechanical behavior. From 2003 to 2006 he was the founding spokesman of the Transregio Collaborative Research Center Symmetries and Universality in Mesoscopic Systems . In particular, he investigates the interaction between chaotic (classical) behavior and quantum mechanics. Among other things, the method of random matrices is used there, and Zirnbauer introduced new supersymmetric methods in their theory. Among other things, in 1996 he introduced Riemann's symmetrical superspaces into the theory of disordered systems (i.e. supersymmetrical generalizations of Riemann's symmetrical spaces) and examined nonlinear sigma models on them. They are related to the random matrices with which disordered solids (metals, superconductors) can be described. Among other things, Altland-Zirnbauer symmetry classes are named after him and Alexander Altland . Together with Margherita Disertori and Thomas C. Spencer, he investigates nonlinear sigma models for disordered electron systems in three dimensions with the aim of proving the existence of a metallic state. With P. Heinzner and A. Huckleberry he classified the random matrices of disordered fermion systems according to symmetry classes. In 2011 he showed how symmetries of the multifractality exponents of the wave functions in the Anderson localization follow from symmetry considerations to the underlying nonlinear sigma models.

With his group in Cologne he also pursues other mathematical methods for the description of disordered mesoscopic systems, such as the supersymmetry method by Konstantin Efetov and its connection with the Free Probability Theory by Dan Voiculescu or hyperbolic Hubbard-Stratonovich transformation into path integrals or superbosonization.

He also pursues applications in number theory (zero point distribution of the Riemann zeta function), partly with J. Brian Conrey (L-Function-Ratio-Conjecture).

At Caltech he worked with Petr Vogel on core structure calculations in the context of experiments on double beta decay .

With Weidenmüller and others, he applied the theory of random matrices and supersymmetry to disordered systems in nuclear physics in the 1980s.

Awards, memberships and honors

In 2009 he received the renowned Leibniz Prize of the DFG for his further research , which will provide him with € 2.5 million for the next seven years. For 2012 he was awarded the Max Planck Medal .

He is a Fellow of St. John's College, Cambridge, and has been a member of the Leopoldina since 2007 .

Since 2004 he has been co-editor of Nuclear Physics B. Since 2004 he has been on the scientific advisory board of the Max Planck Institute for Mathematics in Bonn and since 2010 he has been on the scientific advisory board of the Mathematical Research Institute Oberwolfach .

Fonts

Unless mentioned in the footnotes.

  • Of symmetries, symmetry classes, and symmetric spaces, Physik Journal, 2012, No. 9, online

Web links

Website Zirnbauer

Individual evidence

  1. ↑ Review article The Supersymmetric method of Random Matrix Theory , Symmetry classes in random matrix theory by Zirnbauer in Francoise, Naber, Tsun (Eds.) Encyclopedia of Mathematical Physics , Elsevier 2006, Symmetry Classes , in Oxford Handbook of Random Matrix Theory
  2. ↑ Zirnbauer Riemannian symmetric super spaces and Their origin in random matrix theory , J. Math. Phys., Vol 37, 1996, p 4986, Online
  3. ↑ Altland, MR Zirnbauer, Non-standard symmetry classes in mesoscopic normal- / superconducting hybrid structures , Phys. Rev. B, Vol. 55, 1997, p. 1142
  4. ↑ Disertori, Spencer, Zirnbauer Quasi diffusion in 3 dimensional hyperbolic sigma model , Comm. Math. Phys., Volume 300, 2010, pp. 435-486, online
  5. ↑ Heinzner, Huckleberry, Zirnbauer Symmetry classes of disordered fermions , Comm. Math. Phys., Vol. 257, 2005, pp. 725-771, online . Extension of the classic classification by Freeman Dyson (1962)
  6. ↑ I. Gruzberg, AWW Ludwig, AD Mirlin, Zirnbauer Symmetries of Multifractal spectra and field theories in Anderson localization , Phys. Rev. Lett., Volume 107, 2011, p. 086403, online
  7. ↑ S. Mandt, Zirnbauer Zooming in on local level statistics by supersymmetric extension of free probability , J. Phys. A, 43, 2010, p. 025201, online
  8. ↑ P. Littelmann, HJ Sommers, Zirnbauer Superbosonization of invariant random matrix ensembles , Comm. Math. Phys., Vol. 283, 2008, p. 343, online
  9. ↑ Conrey, David W. Farmer, Zirnbauer Autocorrelation of ratios of L functions , Communications in Number Theory and Physics, Volume 2, 2008, pp. 593-636
  10. ^ Vogel, Zirnbauer Suppression of two neutrino double beta decay by nuclear structure effects , Physical Review Letters, Volume 57, 1986, p. 3148
  11. ^ Verbaarschot, Weidenmüller, Zirnbauer Grassmann Variables in Stochastic quantum physics: the case of compound nucleus scattering , Physics Reports, Volume 129, 1985, p. 367, review article
  12. ↑ Lecture: Of symmetries, symmetry classes, and symmetric spaces. From disorder and quantum chaos to topological insulators , Physik Journal, 2012, No. 9
  13. ↑ Member entry by Prof. Dr. Martin Zirnbauer (with picture and CV) at the German Academy of Sciences Leopoldina , accessed on June 27, 2016.
personal data
SURNAME Zirnbauer, Martin R.
BRIEF DESCRIPTION German theoretical physicist and university professor
DATE OF BIRTH April 25, 1958
PLACE OF BIRTH Moosburg