Main > Research

I did my PhD in computational physics at the institute of theoretical physics at ETHZ under the supervision of Prof. Matthias Troyer. My main research topics were high temperature expansions for the t-t'-J model, although the things I looked at during my PhD are somewhat all over the place.

Research interests

• Multicanonical methods in Monte Carlo simulations.
• Spin glasses.
• Use of scripting languages such as Python and Perl in scientific computing (SWIG, Numerical Python).
• Use of databases in scientific computing
• High-temperature series expansions for the t-t'-J model.

  Could someone please solve the two dimensional Hubbard model in the strong coupling limit? Pretty please.

Publications

1. Mathias Körner and Matthias Troyer,
   A Nonmagnetic Impurity in a Quantum Critical Spin System
   Progress of Theoretical Physics Supplement 145, 349 (2002).
2. F. Alet, et. al. for the ALPS collaboration,
   The ALPS project: open source software for strongly correlated systems
   J. Phys. Soc. Jpn. Suppl. 74, 30 (2005) (cond-mat/0410407)
3. Yong Wu, Mathias Körner, Louis Colonna-Romano, Simon Trebst, Harvey Gould, Jonathan Machta, Matthias Troyer,
   Overcoming the critical slowing down of flat-histogram Monte Carlo simulations: Cluster updates and optimized broad-histogram ensembles
   PRE 72, 046704 (2005) (cond-mat/0412076)
4. Helmut G. Katgraber, M. Körner, F. Liers and A. K. Hartmann,
   Overcoming System-Size Limitations in Spin Glasses
   Progress of Theoretical Physics Supplement 157, 59 (2005).
5. Helmut G. Katzgraber, Mathias Körner, Frauke Liers, Michael Jünger, A. K. Hartmann
   Universality-class dependence of energy fluctuations in spin glasses
   PRB 72, 094421 (2005) (cond-mat/0506209)
6. Helmut G. Katzgraber, Mathias Körner, A. P. Young
   Detailed study of universality in three-dimensional Ising spin glasses
   PRB 73, 224432 (2006) (cond-mat/0602212)
7. Mathias Körner, Helmut G. Katzgraber, Alexander K. Hartmann
   Probing tails of energy distributions using importance-sampling in the disorder with a guiding function
   J. Stat. Mech. P04005 (2006) (cond-mat/0603290)

© 2005-2007 Mathias Körner