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We argue that a class of strongly spin-orbit coupled materials, including some pyrochlore iridates and the inverted band gap semiconductor HgTe, may be described by a minimal model consisting of the Luttinger Hamiltonian supplemented by…

Strongly Correlated Electrons · Physics 2013-11-20 Eun-Gook Moon , Cenke Xu , Yong Baek Kim , Leon Balents

We discuss the mechanisms of unconventional superconductivity and superfluidity in 3D and 2D fermionic systems with purely repulsive interaction at low densities. We construct phase diagrams of these systems and find the areas of the…

Superconductivity · Physics 2015-11-13 M. Yu. Kagan , V. A. Mitskan , M. M. Korovushkin

We provide a comprehensive theoretical investigation of the Fermi liquid quasiparticle description in two-dimensional electron gas interacting via the long-range Coulomb interaction by calculating the electron self-energy within the…

Mesoscale and Nanoscale Physics · Physics 2021-09-16 Seongjin Ahn , Sankar Das Sarma

Based on density functional calculations, the relationship between magnetism or superconductivity and electronic states around Fermi level were derived, and the location of the Fermi level in nonmagnetic "form" of Laves-phase compounds is…

Materials Science · Physics 2007-05-23 Xing-Qiu Chen , Shu-Lan Wang , Xue-Yong Ding , Xiang-Xun Xue

We use Landau's theory of a normal Fermi liquid to derive expressions for the static response of a system with a general tensor interaction that conserves the total spin and the total angular momentum of the quasiparticle-quasihole pair.…

Nuclear Theory · Physics 2009-11-10 E. Olsson , P. Haensel , C. J. Pethick

Significant effort has been devoted to the study of "non-Fermi liquid" (NFL) metals: gapless conducting systems that lack a quasiparticle description. One class of NFL metals involves a finite density of fermions interacting with soft order…

Strongly Correlated Electrons · Physics 2019-09-04 Jeremias Aguilera Damia , Shamit Kachru , Srinivas Raghu , Gonzalo Torroba

We study the dynamics of a quantum critical boson coupled to a Fermi surface in intermediate energy regimes where the Landau damping of the boson can be parametrically controlled, either via large Fermi velocity or by large N techniques. We…

Strongly Correlated Electrons · Physics 2015-03-12 A. Liam Fitzpatrick , Shamit Kachru , Jared Kaplan , S. Raghu , Gonzalo Torroba , Huajia Wang

We study a dissipative gauge theory of nonrelativistic fermions in 2+1 dimensions at zero temperature by the Wilsonian renormalization-group method. In this theory, we incorporate in the fermion propagator a new term of the form $ i \kappa…

Strongly Correlated Electrons · Physics 2008-02-03 Hiroshi Takano , Masaru Onoda , Ikuo Ichinose , Tetsuo Matsui

Superconductivity is a quantum phenomena arising, in its simplest form, from pairing of fermions with opposite spin into a state with zero net momentum. Whether superconductivity can occur in fermionic systems with unequal number of two…

Superconductivity · Physics 2015-06-22 H. Mayaffre , S. Kramer , M. Horvatić , C. Berthier , K. Miyagawa , K. Kanoda , V. F. Mitrović

We theoretically explore the crossover from three dimensions (3D) to two (2D) in a strongly interacting atomic Fermi superfluid through confining the transverse spatial dimension. Using the gaussian pair fluctuation theory, we determine the…

Quantum Gases · Physics 2017-10-18 Umberto Toniolo , Brendan C. Mulkerin , Chris J. Vale , Xia-Ji Liu , Hui Hu

High-temperature superconductors (HTSC) and heavy-fermion (HF) metals exhibit extraordinary properties. They are so unusual that the traditional Landau paradigm of quasiparticles does not apply. It is widely believed that utterly new…

Superconductivity · Physics 2008-06-29 V. R. Shaginyan , M. Ya. Amusia , K. G. Popov , V. A. Stephanovich

We present the microscopic Fermi liquid theory for magnetic properties and transport phenomena in interacting electron systems without inversion symmetry both in the normal state and in the superconducting state. Our argument is mainly…

Strongly Correlated Electrons · Physics 2009-11-11 Satoshi Fujimoto

Non-Fermi liquid physics is a ubiquitous feature in strongly correlated metals, manifesting itself in anomalous transport properties, such as a $T$-linear resistivity in experiments. However, its theoretical understanding in terms of…

Strongly Correlated Electrons · Physics 2021-07-23 George , Driskell , Samuel Lederer , Carsten Bauer , Simon Trebst , Eun-Ah Kim

Phase structure of the (2+1)-dimensional model with four-fermion interaction of spin-1/2 quasiparticles (electrons) both in the fermion-antifermion (or chiral) and fermion-fermion (or superconducting) channels is considered at nonzero…

High Energy Physics - Theory · Physics 2015-06-12 K. G. Klimenko , R. N. Zhokhov , V. Ch. Zhukovsky

We examine a two-dimensional Fermi liquid with a Fermi surface which touches the Umklapp surface first at the 4 points $(\pm \pi/2, \pm \pi/2)$ as the electron density is increased. Umklapp processes at the 4 patches near $(\pm \pi/2,…

Strongly Correlated Electrons · Physics 2009-10-31 N. Furukawa , T. M. Rice

It is proved that the ground state under the supreme single-site approximation (S^3A), the dynamical mean-field theory (DMFT), or the dynamical coherent potential approximation (DCPA) is the normal Fermi liquid in the presence of an…

Superconductivity · Physics 2008-07-02 Fusayoshi J. Ohkawa

We examine the nature of the transition to the antiferromagnetically ordered state in the half-filled three-dimensional Hubbard model using the dual-fermion multiscale approach. Consistent with analytics, in the weak-coupling regime we find…

Strongly Correlated Electrons · Physics 2015-10-14 Daniel Hirschmeier , Hartmut Hafermann , Emanuel Gull , Alexander I. Lichtenstein , Andrey E. Antipov

We study fermions at quantum criticality with extremely retarded interactions of the form $V(\omega_l)=(g/|\omega_l|)^\gamma$, where $\omega_l$ is the transferred Matsubara frequency. This system undergoes a normal-superconductor phase…

Superconductivity · Physics 2022-08-30 Emil A. Yuzbashyan , Michael K. -H. Kiessling , Boris L. Altshuler

The density of low energy particle-hole excitations is non-analytic in a singular Fermi-liquid, but it is altered on entering a superconducting state in which, in the pure limit, it vanishes asymptotically at the chemical potential and in…

Strongly Correlated Electrons · Physics 2018-11-14 Kazumasa Miyake , Chandra M. Varma

The problem of an electron gas interacting via exchanging transverse gauge bosons is studied using the renormalization group method. The long wavelength behavior of the gauge field is shown to be in the Gaussian universality class with a…

Condensed Matter · Physics 2009-10-22 Junwu Gan , Eugene Wong