72 citations · 229 across the 21 of their papers we have counts for
10 papers · 1 filter
Universality class of replica symmetry breaking, scaling behavior, and the low-temperature fixed-point order function of the Sherrington-Kirkpatrick model
Reinhold Oppermann, Manuel J. Schmidt
A scaling theory of replica symmetry breaking (RSB) in the SK-model is presented in the framework of critical phenomena for the scaling regime of small inverse RSB-orders, small te…
New technique for replica symmetry breaking with application to the SK-model at and near T=0
Manuel J. Schmidt, Reinhold Oppermann
We describe a novel method which allows the treatment of high orders of replica-symmetry-breaking (RSB) at low temperatures as well as at T=0 directly, without a need for approxima…
Construction and purpose of effective field theories for frustrated magnetic order
R. Oppermann, M. J. Schmidt
This article reviews recent years' progress in the low temperature analysis of standard models of spin glass order such as the Sherrington-Kirkpatrick (SK) model. Applications to C…
Double Criticality of the Sherrington-Kirkpatrick Model at T=0
Reinhold Oppermann, Manuel J. Schmidt, David Sherrington
Numerical results up to 42nd order of replica symmetry breaking (RSB) are used to predict the singular structure of the SK spin glass at T=0. We confirm predominant single paramete…
Scaling and Renormalization Group in Replica Symmetry Breaking space: Evidence for a simple analytical solution of the SK model at zero temperature
R. Oppermann, D. Sherrington
Using numerical self-consistent solutions of a sequence of finite replica symmetry breakings (RSB) and Wilson's renormalization group but with the number of RSB-steps playing a rol…
Fermionic SK-models with Hubbard interaction: Magnetism and electronic structure
R. Oppermann, D. Sherrington
Models with range-free frustrated Ising spin- and Hubbard interaction are treated exactly by means of the discrete time slicing method. Critical and tricritical points, correlation…
Selforganized 3-band structure of the doped fermionic Ising spin glass
H. Feldmann, R. Oppermann
The fermionic Ising spin glass is analyzed for arbitrary filling and for all temperatures. A selforganized 3-band structure of the model is obtained in the magnetically ordered pha…
Low-energy excitations in fermionic spin glasses: A quantum-dynamical image of Parisi symmetry breaking
R. Oppermann, B. Rosenow
We report large effects of Parisi replica permutation symmetry breaking (RPSB) on elementary excitations of fermionic systems with frustrated magnetic interactions. The electronic…
Fermionic TAP-equations
Martin Rehker, Reinhold Oppermann
We derive the TAP equations for the fermionic Ising spin glass. It is found that, just as in the non-fermionic model, the conditions for stability and for validity of the free ener…
Studies of the phase diagram of randomly interacting fermionic systems
R. Oppermann, B. Rosenow
We present details of the phase diagrams of fermionic systems with random and frustrated interactions, emphasizing the important role of the chemical potential. The insulating ferm…