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Three-dimensional (3D) variants of the Kitaev model can harbor gapless spin liquids with a Majorana Fermi surface on certain tricoordinated lattice structures such as the recently introduced hyperoctagon lattice. Here we investigate Fermi…

Strongly Correlated Electrons · Physics 2015-10-26 Maria Hermanns , Simon Trebst , Achim Rosch

The destruction of Fermi liquid behavior when a gapless Fermi surface is coupled to a fluctuating gapless boson field is studied theoretically. This problem arises in a number of different contexts in quantum many body physics. Examples…

Strongly Correlated Electrons · Physics 2010-12-14 David F. Mross , John McGreevy , Hong Liu , T. Senthil

The ultra-cold and weakly-coupled Fermi gas in two spatial dimensions is studied in an effective field theory framework. It has long been observed that universal corrections to the energy density to two orders in the interaction strength do…

Quantum Gases · Physics 2023-04-26 Silas R. Beane , Gianluca Bertaina , Roland C. Farrell , William R. Marshall

We construct models of excitations about a Fermi surface that display calculable deviations from Fermi liquid behavior in the low-energy limit. They arise as a consequence of coupling to a Chern-Simons gauge field, whose fluctations are…

Condensed Matter · Physics 2009-10-22 Chetan Nayak , Frank Wilczek

We model the one-dimension (1D) to three-dimension (3D) crossover in a cylindrically trapped Fermi gas with attractive interactions and spin-imbalance. We calculate the mean-field phase diagram, and study the relative stability of exotic…

Quantum Gases · Physics 2016-12-22 Shovan Dutta , Erich J. Mueller

In metals, low-energy effective theories are characterized by a set of coupling functions. Among them, the angle-dependent Fermi momentum specifies the size and shape of Fermi surface. Since the Fermi momentum grows incessantly under the…

Strongly Correlated Electrons · Physics 2024-10-21 Shubham Kukreja , Afshin Besharat , Sung-Sik Lee

Non-relativistic conformal field theory is significant to understand various aspects of an ultra-cold system. In this paper, we study a non-relativistic system of two-component fermions interacting with a complex boson with Yukawa-like…

High Energy Physics - Theory · Physics 2023-07-26 Rajesh Kumar Gupta , Meenu

We develop a general theory of fermion liquids in spatial dimensions greater than one. The principal method, bosonization, is applied to the cases of short and long range longitudinal interactions, and to transverse gauge interactions. All…

Condensed Matter · Physics 2016-08-31 H. -J. Kwon , A. Houghton , J. B. Marston

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 argue that the gauge-fermion interaction in multiflavour quantum electrodynamics in $(2 + 1)$-dimensions is responsible for non-fermi liquid behaviour in the infrared, in the sense of leading to the existence of a non-trivial (quasi)…

High Energy Physics - Theory · Physics 2009-10-28 I. J. R. Aitchison , N. E. Mavromatos

We analyze the behavior of quarks coupled to a $SU(N_c)$ gauge theory in 1+1 dimensions. In the limit of strong coupling, the model reduces to a Wess-Zumino-Novikov-Witten (WZNW) model. At nonzero density, excitations near the Fermi surface…

High Energy Physics - Theory · Physics 2025-08-18 Marton Lajer , Robert M. Konik , Robert D. Pisarski , Alexei M. Tsvelik

We study the fate of a two-dimensional system of interacting fermions with Rashba spin-orbit coupling in the dilute limit. The interactions are strongly renormalized at low densities, and give rise to various fermionic liquid crystalline…

Strongly Correlated Electrons · Physics 2014-12-12 Jonathan Ruhman , Erez Berg

We study a distinct type of non-Fermi liquid where there exists an infinite number of critical bosonic modes instead of a finite number of bosonic modes for the conventional ones. We consider itinerant magnets with both conduction electrons…

Strongly Correlated Electrons · Physics 2023-02-24 Xiao-Tian Zhang , Gang Chen

Self-energy at zero temperature is investigated up to the third-order of interaction using one-patch model in two dimensions, whose interaction process corresponds to $g_4$-process of $g$-ology model in one dimension. The self-energy…

Strongly Correlated Electrons · Physics 2007-05-23 Ken Yokoyama

Using perturbation theory and the field theoretical renormalization group approach we consider a two-dimensional anisotropic truncated Fermi Surface((FS) ) with both flat and curved sectors which approximately simulates the ``cold'' and…

Strongly Correlated Electrons · Physics 2007-05-23 A. Ferraz

The quantum-classical crossover from the Fermi liquid towards the Wigner solid is numerically revisited, considering small square lattice models where electrons interact via a Coulomb U/r potential. We review a series of exact numerical…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jean-Louis Pichard , Giuliano Benenti , Georgios Katomeris , Franck Selva , Xavier Waintal

We study the effects of Coulomb interaction between 2D Weyl fermions with anisotropic dispersion which displays relativistic dynamics along one direction and Newtonian dynamics along the other. Such a dispersion can be realized in…

Strongly Correlated Electrons · Physics 2016-02-23 Hiroki Isobe , Bohm-Jung Yang , Andrey Chubukov , Jörg Schmalian , Naoto Nagaosa

We study the nature of superfluid pairing in imbalanced Fermi mixtures in two spatial dimensions. We present evidence that the combined effect of Fermi surface mismatch and order parameter fluctuations of the superfluid condensate can lead…

Quantum Gases · Physics 2014-04-22 Philipp Strack , Pawel Jakubczyk

Recently, Patel et al. introduced a higher dimensional version of the SYK model with random coupling in a Yukawa interaction to find the linear-$T$ resistivity. We test the universality of the mechanism by replacing the scalar field with a…

High Energy Physics - Theory · Physics 2025-03-17 Yi-Li Wang , Xian-Hui Ge , Sang-Jin Sin

We calculate the interaction-induced deformation of the Fermi surface in the two-dimensional Hubbard model within second order perturbation theory. Close to half-filling, interactions enhance anisotropies of the Fermi surface, but they…

Strongly Correlated Electrons · Physics 2009-10-28 Christoph J. Halboth , Walter Metzner