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Using quantum Monte Carlo (QMC) simulations we study the ground-state properties of the one-dimensional fermionic Hubbard model in traps with an underlying lattice. Since due to the confining potential the density is space dependent,…

Strongly Correlated Electrons · Physics 2007-05-23 Marcos Rigol , Alejandro Muramatsu

Charge conjugation (C), mirror reflection (R), and time reversal (T) symmetries, along with internal symmetries, are essential for massless Majorana and Dirac fermions. These symmetries are sufficient to rule out potential fermion bilinear…

Strongly Correlated Electrons · Physics 2025-09-11 Yang-Yang Li , Juven Wang , Yi-Zhuang You

Spin-changing collisions in trapped Fermi gases may acquire a resonant character due to the compensation of quadratic Zeeman effect and trap energy. These resonances are absent in spinor condensates and pseudo-spin-1/2 Fermi gases, being a…

Other Condensed Matter · Physics 2009-11-13 N. Bornemann , P. Hyllus , L. Santos

The metal-insulator transition in one dimensional fermionic systems with long-range interaction is investigated. We have focused on an excitation spectrum by the exact diagonalization technique in sectors with different momentum quantum…

Strongly Correlated Electrons · Physics 2009-10-30 Yasuhiro Hatsugai

We propose a realistic scheme to quantum simulate the so-far experimentally unobserved topological Mott insulator phase -- an interaction-driven topological insulator -- using cold atoms in an optical Lieb lattice. To this end, we study a…

Quantum Gases · Physics 2016-04-20 A. Dauphin , M. Müller , M. A. Martin-Delgado

We present some results about the interplay between the chiral and deconfinement phase transitions in parity-conserving QED3 (with N flavours of massless 4 component fermions) at finite temperature. Following Grignani et al (Phys. Rev. D53,…

High Energy Physics - Theory · Physics 2009-10-31 I. J. R. Aitchison , C. D. Fosco

Topological insulators host spin-polarized surface states which robustly span the band gap and hold promise for novel applications. Recent theoretical predictions have suggested that topologically protected surface states may similarly span…

Strongly Correlated Electrons · Physics 2013-08-28 Michael M. Yee , Yang He , Anjan Soumyanarayanan , Dae-Jeong Kim , Zachary Fisk , Jennifer E. Hoffman

Magnetic properties of an Ising bilayer system defined on a honeycomb lattice with non-magnetic interlayers which interact via an indirect exchange coupling have been investigated by Monte Carlo simulation technique. Equilibrium properties…

Statistical Mechanics · Physics 2018-11-14 Yusuf Yüksel

The ideal (i.e. noninteracting), homogeneous Fermi gas, with its characteristic sharp Fermi surface in the momentum distribution, is a fundamental concept relevant to the behavior of many systems. With trapped Fermi gases of ultracold…

Quantum Gases · Physics 2012-09-10 T. E. Drake , Y. Sagi , R. Paudel , J. T. Stewart , J. P. Gaebler , D. S. Jin

The Wigner formulation of quantum mechanics is used to derive a new path integral representation of quantum density of states. A path integral Monte Carlo approach is developed for the numerical investigation of density of states, internal…

Computational Physics · Physics 2023-09-12 V. Filinov , P. Levashov , A. Larkin

We investigate the low energy properties of a correlated metal in the proximity of a Mott insulator within the Hubbard model in two dimensions. We introduce a new version of the Cellular Dynamical Mean Field Theory using cumulants as the…

Strongly Correlated Electrons · Physics 2009-11-11 Tudor D. Stanescu , Gabriel Kotliar

We review recent results of emergent geometries in the BMN matrix model, a one-dimensional gauge theory considered as a non-perturbative formulation of M-theory on the plane-wave geometry. A key to understand the emergent geometries is the…

High Energy Physics - Theory · Physics 2020-05-05 Yuhma Asano

We study 1D fermions with photoassociation or with a narrow Fano-Feshbach resonance described by the Boson-Fermion resonance model. Using thebosonization technique, we derive a low-energy Hamiltonian of the system. We show that at low…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Edmond Orignac , Roberta Citro

The three-dimensional (3D) topological insulator is a novel quantum state of matter where an insulating bulk hosts a linearly-dispersing surface state, which can be viewed as a sea of massless Dirac fermions protected by the time-reversal…

Mesoscale and Nanoscale Physics · Physics 2012-05-17 T. Sato , Kouji Segawa , K. Kosaka , S. Souma , K. Nakayama , K. Eto , T. Minami , Yoichi Ando , T. Takahashi

In an exciting development, SmB6, a Kondo insulator has been shown to exhibit bulk quantum oscillations. We propose that SmB6 is a bulk scalar Majorana Fermi Liquid} (MFL) with a finite gap for charge and spin excitations. In their study of…

Strongly Correlated Electrons · Physics 2015-07-14 G. Baskaran

We study the dynamics and phase structure of Abelian gauge theories in $d=1+1$ dimensions. These include $U(1)$ gauge theory coupled to a scalar and a fermion, as well as the two-flavour Schwinger model with different charges. Both theories…

High Energy Physics - Theory · Physics 2026-04-23 Rishi Mouland , David Tong , Bernardo Zan

Monte Carlo simulations of the 3+1 dimensional NJL model are performed with baryon chemical potential mu>0. For mu>Sigma_0, the constituent quark mass in vacuum, chiral symmetry is restored and a diquark condensate <qq_+> forms. We analyse…

High Energy Physics - Lattice · Physics 2009-11-10 David N. Walters , Simon Hands

I study the prospect of generating mass for symmetry-protected fermions without breaking the symmetry that forbids quadratic mass terms in the Lagrangian. I focus on 1+1 spacetime dimensions in the hope that this can provide guidance for…

Strongly Correlated Electrons · Physics 2015-09-24 Yoni BenTov

We show that a recently discovered non-perturbative field-theoretical mechanism giving mass to elementary fermions, is also capable of generating a mass for the electro-weak bosons and can thus be used as a viable alternative to the Higgs…

High Energy Physics - Phenomenology · Physics 2022-09-07 Giancarlo Rossi

We study a model describing electrons coupled to anti-ferromagnetic spin fluctuations, and consider the situation where hedgehog defects in the order parameter field are suppressed. Without hedgehogs, the bosonic sector of the theory can be…

Strongly Correlated Electrons · Physics 2026-05-15 Xu Zhang , Nick Bultinck