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One-particle properties of non-interacting Fermions in a one-dimensional harmonic trap and at zero temperature are studied. Exact expressions and asymptotic results for large Fermion number N are given for the particle density distribution…

Quantum Physics · Physics 2009-11-06 F. Gleisberg , W. Wonneberger , U. Schloeder , C. Zimmermann

The theory for condensation of higher fermionic clusters is developed. Fully selfconsistent nonlinear equations for the quartet order parameter in strongly coupled fermionic systems are established and solved. The breakdown of the…

Quantum Gases · Physics 2011-02-28 Takaaki Sogo , Gerd Röpke , Peter Schuck

We study the spectral statistics of interacting spinless fermions in a two-dimensional disordered lattice. Within a full quantum treatment for small few-particle-systems, we compute the low-energy many-body states numerically. While at weak…

Strongly Correlated Electrons · Physics 2009-11-10 Gabriel Vasseur , Dietmar Weinmann

The calculation of the full counting statistics of the charge within a finite interval of an interacting one-dimensional system of electrons is a fundamental, yet as of now unresolved problem. Even in the non-interacting case, charge…

Strongly Correlated Electrons · Physics 2024-03-11 Oleksiy Kashuba , Thomas L. Schmidt , Fabian Hassler , Andreas Haller , Roman P. Riwar

It has been recently claimed that the symmetry group S4 yields to the Tri-bimaximal neutrino mixing in a "natural" way from the group theory point of view. Approving of this feature as an indication, we build a supersymmetric model of…

High Energy Physics - Phenomenology · Physics 2010-05-12 Federica Bazzocchi , Luca Merlo , Stefano Morisi

We perform a systematic study of dihedral groups used as flavor symmetry. The key feature here is the fact that we do not allow the dihedral groups to be broken in an arbitrary way, but in all cases some (non-trivial) subgroup has to be…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Blum , C. Hagedorn , M. Lindner

The weak coupling instabilities of a two dimensional Fermi system are investigated for the case of a square lattice using a Wilson renormalization group scheme to one loop order. We focus on a situation where the Fermi surface passes…

Strongly Correlated Electrons · Physics 2009-11-07 B. Binz , D. Baeriswyl , B. Doucot

Flavor mixing is scrutinized at 1-loop in a SU(2)_L gauge theory of massive fermions. The main issue is to cope with kinetic-like, momentum (p^2) dependent effective interactions that arise at this order. They spoil the unitarity of the…

High Energy Physics - Phenomenology · Physics 2010-06-16 Bruno Machet

We investigate the phase structure of spin-imbalanced unitary Fermi gases beyond mean-field theory by means of the Functional Renormalization Group. In this approach, quantum and thermal fluctuations are resolved in a systematic manner. The…

Quantum Gases · Physics 2015-01-26 I. Boettcher , J. Braun , T. K. Herbst , J. M. Pawlowski , D. Roscher , C. Wetterich

The observation of strongly-correlated states in moir\'e systems has renewed the conceptual interest in magnetic systems with higher SU(4) spin symmetry, e.g. to describe Mott insulators where the local moments are coupled spin-valley…

Strongly Correlated Electrons · Physics 2022-08-02 Lasse Gresista , Dominik Kiese , Simon Trebst

We apply the functional renormalization group method to the calculation of dynamical properties of zero-dimensional interacting quantum systems. As case studies we discuss the anharmonic oscillator and the single impurity Anderson model. We…

Strongly Correlated Electrons · Physics 2009-11-10 R. Hedden , V. Meden , Th. Pruschke , K. Schoenhammer

The Renormalization Group flow equations obtained by means of a proper time regulator are used to analyze the restoration of the discrete chiral symmetry at non-zero density and temperature in the Gross-Neveu model in d=2+1 dimensions. The…

High Energy Physics - Theory · Physics 2009-11-10 P. Castorina , M. Mazza , D. Zappala'

The cuprate superconductors and certain organic conductors exhibit transport which is qualitatively anisotropic, yet at the same time other properties of these materials strongly suggest the existence of a Fermi surface and low energy…

Condensed Matter · Physics 2009-10-28 S. P. Strong , David G. Clarke

We investigated possible superfluid phases at finite temperature in a two-component Fermi gas with density imbalance. In the frame of a general four-fermion interaction theory, we solved in the BCS region the gap equations for the pairing…

Superconductivity · Physics 2016-08-31 Lianyi He , Meng Jin , Pengfei Zhuang

Scanning tunnelling microscopy and low energy electron diffraction show a dimerization-like reconstruction in the one-dimensional atomic chains on Bi(114) at low temperatures. While one-dimensional systems are generally unstable against…

A unified scheme for treating generalized superselection sectors is proposed on the basis of the notion of selection criteria to characterize states of relevance to each specific domain in quantum physics, ranging from the relativistic…

Mathematical Physics · Physics 2007-05-23 Izumi Ojima

The low temperature phase diagram of 1D disordered quantum systems like charge or spin density waves, superfluids and related systems is considered by a full finite T renormalization group approach, presented here for the first time. At…

Strongly Correlated Electrons · Physics 2009-11-07 Andreas Glatz , Thomas Nattermann

Interacting fermions are ubiquitous in nature and understanding their thermodynamics is an important problem. We measure the equation of state of a two-component ultracold Fermi gas for a wide range of interaction strengths at low…

Quantum Gases · Physics 2010-06-03 Nir Navon , Sylvain Nascimbène , Frédéric Chevy , Christophe Salomon

Renormalization group procedure for effective particles is applied to the model quantum theory of free fermions to which one adds an interaction in the form of a mass mixing term. If one used a standard approach based on the instant form of…

High Energy Physics - Theory · Physics 2015-06-15 Stanislaw D. Glazek

We summarize basic features associated to dynamical breaking of the electroweak symmetry. The knowledge of the phase diagram of strongly coupled theories as function of the number of colors, flavors and matter representation plays a…

High Energy Physics - Phenomenology · Physics 2012-11-27 Francesco Sannino