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We consider a system of interacting fermions on the three-dimensional torus in a mean-field scaling limit. Our objective is computing the occupation number of the Fourier modes in a trial state obtained through the random phase…

数学物理 · 物理学 2025-03-05 Niels Benedikter , Sascha Lill

We develop a new method for bosonizing the Fermi surface based on the formalism of the coadjoint orbits. This allows one to parametrize the Fermi surface by a bosonic field that depends on the spacetime coordinates and on the position on…

强关联电子 · 物理学 2022-08-31 Luca V. Delacretaz , Yi-Hsien Du , Umang Mehta , Dam Thanh Son

We argue that the naively expected singularities of the Fermi surface, in the mixed composite boson - composite fermion states proposed [S.H. Simon et al., PRL 91, 046803(2003)] for the evolution of \nu = 1 bilayer quantum Hall system with…

介观与纳米尺度物理 · 物理学 2009-11-10 M. V. Milovanovic

We study the nonlinear feedback in a fermion-boson system using an extension of dynamical mean-field theory and the quantum Monte Carlo method. In the perturbative regimes (weak-coupling and atomic limits) the effective interaction among…

强关联电子 · 物理学 2007-05-23 Yukitoshi Motome , Gabriel Kotliar

We show that the low-density strongly interacting electron liquid, interacting via the long-range Coulomb interaction, could develop a dispersion instability at a critical density associated with the approximate flattening of the…

强关联电子 · 物理学 2007-05-23 Ying Zhang , V. M. Yakovenko , S. Das Sarma

Motivated by the realization of hard-wall boundary conditions in experiments with ultracold atoms, we investigate the ground-state properties of spin-1/2 fermions with attractive interactions in a one-dimensional box. We use lattice Monte…

量子气体 · 物理学 2016-10-26 J. R. McKenney , C. R. Shill , W. J. Porter , J. E. Drut

The quasi-static transverse conductivity of clean Fermi liquids at long wavelengths displays a remarkably universal behaviour: it is determined solely by the radius of curvature of the Fermi surface and does not depend on details such as…

介观与纳米尺度物理 · 物理学 2024-09-17 Mark Morgenthaler , Inti Sodemann Villadiego

Monte Carlo simulation of a 2+1 dimensional model of voltage-biased bilayer graphene, consisting of relativistic fermions with chemical potential mu coupled to charged excitations with opposite sign on each layer, has exposed non-canonical…

强关联电子 · 物理学 2015-12-30 Wes Armour , Simon Hands , Costas Strouthos

We study attractively interacting fermions on a square lattice with dispersion relations exhibiting strong spin-dependent anisotropy. The resulting Fermi surface mismatch suppresses the s-wave BCS-type instability, clearing the way for…

We consider superconductivity in a system with $N$ Fermi surfaces, including intraband and interband effective electron-electron interactions. The effective interaction is described by an $N \times N$ matrix whose elements are assumed to be…

超导电性 · 物理学 2023-08-02 Niels Henrik Aase , Christian Svingen Johnsen , Asle Sudbø

We study in this paper the properties of a gas of fermions interacting {\em via} a scalar potential $v(q)=4\pi{e}^2/q^2$ for $q<\Lambda<<k_F$ at dimensions larger than one, where $\Lambda$ is a high momentum cutoff and $k_F$ is the fermi…

强关联电子 · 物理学 2007-05-23 T. K. Ng

One-dimensional spinless Bose and Fermi gases with contact interactions have the close interrelation via Girardeau's Bose-Fermi mapping, leading to the correspondences in their energy spectra and thermodynamics. However, correlation…

量子气体 · 物理学 2018-01-19 Yuta Sekino , Shina Tan , Yusuke Nishida

We consider the single particle correlations and momentum distributions in a gas of strongly interacting spinless 1D fermions with zero-range interactions. This system represents a fermionic version of the Tonks-Girardeau gas of…

其他凝聚态物理 · 物理学 2009-11-10 Scott A. Bender , Kevin D. Erker , Brian E. Granger

This paper is devoted to topological phenomena in normal metals with rather complicated Fermi surface. The results of the article are based on the deep topological theorems concerning the geometry of non-compact plane sections of level…

凝聚态物理 · 物理学 2009-10-30 S. P. Novikov , A. Ya. Maltsev

The electron-electron interactions affect the low-energy excitations of an electronic system and induce deformations of the Fermi surface. These effects are especially important in anisotropic materials with strong correlations, such as…

强关联电子 · 物理学 2007-10-30 R. Roldan , M. P. Lopez-Sancho , F. Guinea , S. -W. Tsai

We develop a discrete fermion approach for modelling the strong interaction of an arbitrary system interacting with continuum electronic reservoirs. The approach is based on a pseudo-fermion decomposition of the continuum bath correlation…

Here, we analyse two Dirac fermion species in two spatial dimensions in the presence of general quartic contact interactions. By employing functional bosonisation techniques, we demonstrate that depending on the couplings of the fermion…

介观与纳米尺度物理 · 物理学 2021-01-07 Patricio Salgado-Rebolledo , Giandomenico Palumbo , Jiannis K. Pachos

We study the effect of suddenly turning on a long-range interaction in a spinless Fermi gas in two dimensions. The short to intermediate time dynamics is obtained using the method of bosonization of the Fermi surface. This allow to…

量子气体 · 物理学 2014-11-21 N. Nessi , A. Iucci , M. A. Cazalilla

We investigate universal properties of one-dimensional multi-component systems comprised of fermions, bosons, or an arbitrary mixture, with contact interactions and subjected to an external potential. The masses and the coupling strengths…

量子气体 · 物理学 2017-12-14 Ovidiu I. Patu , Andreas Klumper

We study a single 2d Dirac fermion at finite density, subject to a quenched random magnetic field. At low energies and sufficiently weak disorder, the theory maps onto an infinite collection of 1d chiral fermions (associated to each point…

强关联电子 · 物理学 2023-06-07 Chao-Jung Lee , Michael Mulligan