scholarly journals Naive lattice fermion without doublers

2021 ◽  
Vol 104 (9) ◽  
Author(s):  
Xingyu Guo ◽  
Chen-Te Ma ◽  
Hui Zhang
Keyword(s):  
Lattice Fermion

scholarly journals Three-Dimensional Chiral Lattice Fermion in Floquet Systems

2018 ◽  
Vol 121 (19) ◽  
Author(s):  
Xiao-Qi Sun ◽  
Meng Xiao ◽  
Tomáš Bzdušek ◽  
Shou-Cheng Zhang ◽  
Shanhui Fan
Keyword(s):  
Three Dimensional ◽  
Lattice Fermion

scholarly journals Simple ansatz for the lattice fermion determinant

1997 ◽  
Vol 395 (3-4) ◽  
pp. 283-288 ◽  
Author(s):  
Sergei V. Zenkin
Keyword(s):  
Lattice Fermion

scholarly journals QCD Phase Diagram with 2-flavor Lattice Fermion Formulations

2012 ◽  
Author(s):  
Taro Kimura ◽  
Tatsuhiro Misumi ◽  
Akira Ohnishi
Keyword(s):  
Phase Diagram ◽  
Qcd Phase Diagram ◽  
Lattice Fermion

scholarly journals Phases of a strongly coupled four-fermion theory

2018 ◽  
Vol 175 ◽  
pp. 03004 ◽  
Author(s):  
David Schaich ◽  
Simon Catterall
Keyword(s):  
Strong Coupling ◽  
Weak Coupling ◽  
Strongly Coupled ◽  
Coupling Phase ◽  
Long Range Correlations ◽  
Mass Gap ◽  
Narrow Region ◽  
Lattice Field ◽  
Lattice Symmetry ◽  
Lattice Fermion

We present ongoing investigations of a four-dimensional lattice field theory with four massless reduced staggered fermions coupled through an SU(4)-invariant fourfermion interaction. As in previous studies of four-fermion and Higgs–Yukawa models with different lattice fermion discretizations, we observe a strong-coupling phase in which the system develops a mass gap without breaking any lattice symmetry. This symmetric strong-coupling phase is separated from the symmetric weak-coupling phase by a narrow region of four-fermi coupling in which the system exhibits long-range correlations.

FERMIONS ON A LATTICE IN HIGH DIMENSIONS

1989 ◽  
Vol 03 (12) ◽  
pp. 2169-2187 ◽  
Author(s):  
E. Müller-Hartmann
Keyword(s):  
Short Review ◽  
High Dimensions ◽  
Present Contribution ◽  
Spin Models ◽  
Recent Introduction ◽  
Lattice Fermion

The limit of high dimensions of lattice fermion models has soon met great interest after its recent introduction by Metzner and Vollhardt. Fermion models are greatly simplified in high dimensions. The simplifications achieved are, however, much more subtle and diverse than those known for spin models. In the present contribution I present some of my own work as well as a short review of some other work on this new promising subject.

scholarly journals ANDERSON LOCALIZATION VS. MOTT–HUBBARD METAL–INSULATOR TRANSITION IN DISORDERED, INTERACTING LATTICE FERMION SYSTEMS

2010 ◽  
Vol 24 (12n13) ◽  
pp. 1727-1755 ◽  
Author(s):  
Krzysztof Byczuk ◽  
Walter Hofstetter ◽  
Dieter Vollhardt
Keyword(s):  
Anderson Localization ◽  
Mean Field Theory ◽  
Mean Field ◽  
Antiferromagnetic Order ◽  
Strongly Correlated ◽  
Theoretical Understanding ◽  
Particle Correlation ◽  
Fermion Systems ◽  
Disordered Lattice ◽  
Lattice Fermion

We review recent progress in our theoretical understanding of strongly correlated fermion systems in the presence of disorder. Results were obtained by the application of a powerful nonperturbative approach, the dynamical mean-field theory (DMFT), to interacting disordered lattice fermions. In particular, we demonstrate that DMFT combined with geometric averaging over disorder can capture Anderson localization and Mott insulating phases on the level of one-particle correlation functions. Results are presented for the ground state phase diagram of the Anderson–Hubbard model at half-filling, both in the paramagnetic phase and in the presence of antiferromagnetic order. We find a new antiferromagnetic metal which is stabilized by disorder. Possible realizations of these quantum phases with ultracold fermions in optical lattices are discussed.

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