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We discuss the ground state and the small-amplitude excitations of a degenerate vapour of fermionic atoms placed in two hyperfine states inside a spherical harmonic trap. An equations-of-motion approach is set up to discuss the hydrodynamic…

Statistical Mechanics · Physics 2009-10-31 M. Amoruso , I. Meccoli , A. Minguzzi , M. P. Tosi

We study the Fermi liquid properties of the cold atomic dipolar Fermi gases with the explicit dipolar anisotropy using perturbative approaches. Due to the explicit dipolar anisotropy, Fermi surfaces exhibit distortions of the…

Quantum Gases · Physics 2010-02-22 Ching-Kit Chan , Congjun Wu , Wei-cheng Lee , S. Das Sarma

Using the bosonization approach we study fermionic systems with a nonlinear dispersion relation in dimension d>2. We explicitly show how the band curvature gives rise to interaction terms in the bosonic version of the model. Although these…

Strongly Correlated Electrons · Physics 2009-11-07 Daniel G. Barci , Luis E. Oxman

Landau's phenomenological theory of Fermi liquids is a fundamental paradigm in many-body physics that has been remarkably successful in explaining the properties of a wide range of interacting fermion systems, such as liquid helium-3,…

Strongly Correlated Electrons · Physics 2015-08-12 Rex Lundgren , Joseph Maciejko

We investigate dynamical properties of a one-component Fermi gas with dipole-dipole interaction between particles. Using a variational function based on the Thomas-Fermi density distribution in phase space representation, the total energy…

Other Condensed Matter · Physics 2011-04-12 T Sogo , L He , T Miyakawa , S Yi , H Lu , H Pu

The concept of Fermi liquid lays a solid cornerstone to the understanding of electronic correlations in quantum matter. This ordered many-body state rigorously organizes electrons at zero temperature in progressively higher momentum states,…

Strongly Correlated Electrons · Physics 2021-05-21 D. Valentinis

We study the appearance of a sharp collective mode which features transverse current fluctuations within the bosonization approach to interacting two-dimensional Fermi liquids. This mode is analogous to the shear sound modes in elastic…

Strongly Correlated Electrons · Physics 2019-03-13 Jun Yong Khoo , Inti Sodemann Villadiego

It is shown that it is possible to bosonize fermions in any number of dimensions using the hydrodynamic variables, namely the velocity potential and density. The slow part of the Fermi field is defined irrespective of dimensionality and the…

Strongly Correlated Electrons · Physics 2009-11-11 Girish S. Setlur

We consider systems of non-relativistic, interacting electrons at finite density and zero temperature in d = 2, 3, ... dimensions. Our main concern is to characterize those systems that, under the renormalization flow, are driven away from…

Condensed Matter · Physics 2007-05-23 Juerg Froehlich , Roland Goetschmann

We realize and study an attractively interacting two-dimensional Fermi liquid. Using momentum resolved photoemission spectroscopy, we measure the self-energy, determine the contact parameter of the short-range interaction potential, and…

Quantum Gases · Physics 2012-09-28 B. Fröhlich , M. Feld , E. Vogt , M. Koschorreck , M. Köhl , C. Berthod , T. Giamarchi

We predict the phase separations of two-dimensional Fermi gases with repulsive contact-type interactions between two spin components. Using density-potential functional theory with systematic semiclassical approximations, we address the…

We describe two dimensional models with a metallic Fermi surface which display quantum phase transitions controlled by strongly interacting critical field theories below their upper critical dimension. The primary examples involve…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Takao Morinari

We report on measurements of an elementary surface mode in an ultracold, strongly interacting Fermi gas of 6Li atoms. The radial quadrupole mode allows us to probe hydrodynamic behavior in the BEC-BCS crossover without being influenced by…

Other Condensed Matter · Physics 2007-09-24 A. Altmeyer , S. Riedl , M. J. Wright , C. Kohstall , J. Hecker Denschlag , R. Grimm

Using the Landau kinetic equation to study the non-equilibrium behavior of interacting Fermi systems is one of the crowning achievements of Landau's Fermi liquid theory. While thorough study of transport modes has been done for standard…

Strongly Correlated Electrons · Physics 2020-06-24 Matthew P. Gochan , Joshuah T. Heath , Kevin S. Bedell

Interacting fermion systems in one dimension, which in the low energy approximation are described by Luttinger liquid theory, can be reformulated as systems of weakly interacting particles with fractional exchange statistics. This is shown…

Strongly Correlated Electrons · Physics 2021-04-19 Jon Magne Leinaas

Using a quantum Boltzmann equation framework, we analyse the nature of generic low-energy deformations of a critical Fermi surface, which exists at the non-Fermi liquid fixed point of a system consisting of fermions interacting with…

Strongly Correlated Electrons · Physics 2023-07-25 Kazi Ranjibul Islam , Ipsita Mandal

We study the dynamics of a heavy particle of mass $M$ moving in a one-dimensional repulsively interacting Fermi gas. The Fermi gas is described using the Luttinger model and bosonization. By transforming to a frame co-moving with the heavy…

Condensed Matter · Physics 2009-10-28 A. H. Castro Neto , Matthew P. A. Fisher

We discuss how one-dimensional interacting fermion systems, which in the low energy approximation are described by Luttinger liquid theory, can be reformulated as systems of weakly interacting particles with fractional charge and…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 Jon Magne Leinaas

We investigate the $2k_F$ density-wave instability of non-Fermi liquid states by combining exact diagonalization with renormalization group analysis. At the half-filled zeroth Landau level, we study the fate of the composite Fermi liquid in…

Strongly Correlated Electrons · Physics 2020-09-23 Shao-Kai Jian , Zheng Zhu

We bosonize a Fermi liquid in any number of dimensions in the limit of long wavelengths. From the bosons we construct a set of coherent states which are related with the displacement of the Fermi surface due to particle-hole excitations. We…

Condensed Matter · Physics 2009-10-22 A. H. Castro Neto , Eduardo Fradkin
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