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We develop a finite temperature mean field theory in the path integral picture for an extremely dilute system of interacting Fermions in a plane. In the limit of short ranged interactions, the system is shown to undergo a phase transition…

Strongly Correlated Electrons · Physics 2007-05-23 A. Agarwal , S. G. Rajeev

Superconducting properties of a material, such as electron-electron interactions and the critical temperature of superconducting transition can be expressed via the effective dielectric response function of the material. Such a description…

Optics · Physics 2014-12-01 Igor I. Smolyaninov , Vera N. Smolyaninova

In unconventional superconductors, it is generally believed that understanding the physical properties of the normal state is a pre-requisite for understanding the superconductivity mechanism. In conventional superconductors like niobium or…

Superconductivity in strongly correlated electrons can emerge out from a normal state that is beyond the Landau's Fermi liquid paradigm, often dubbed as "non-Fermi liquid". While the theory for non-Fermi liquid is still not yet conclusive,…

Superconductivity · Physics 2022-10-20 Yu Li , Vivek Mishra , Yi Zhou , Fu-Chun Zhang

The effective attractive interaction between electrons, mediated by electron-phonon coupling, is a well-established mechanism of conventional superconductivity. In metals exhibiting a Fermi surface, the critical temperature of…

Superconductivity · Physics 2018-12-03 R. Ojajärvi , T. Hyart , M. Silaev , T. T. Heikkilä

The physics of the crossover between weak-coupling Bardeen-Cooper-Schrieffer (BCS) and strong-coupling Bose-Einstein-condensate (BEC) limits gives a unified framework of quantum bound (superfluid) states of interacting fermions. This…

A theory of high temperature superconductivity based on the combination of the fermion-condensation quantum phase transition and the conventional theory of superconductivity is presented. This theory describes maximum values of the…

Strongly Correlated Electrons · Physics 2009-11-07 M. Ya. Amusia , S. A. Artamonov , V. R. Shaginyan

We present calculations of the temperature-dependent electrostatic and chemical potential distributions in disordered normal metal-superconductor structures. We show that they differ appreciably in the presence of a superconducting terminal…

Condensed Matter · Physics 2009-10-28 T. H. Stoof , Yu. V. Nazarov

Low-temperature thermodynamic properties of strongly interacting Fermi liquids with fermion condensate are investigated. We demonstrate that the spin susceptibility of these systems exhibits the Curie-Weiss law, and the entropy contains a…

Strongly Correlated Electrons · Physics 2007-05-23 V. A. Khodel , M. V. Zverev , Victor M. Yakovenko

We analyze the phase diagram of the Yukawa-Sachdev-Ye-Kitaev model, which describes complex fermions randomly interacting with real bosons via a Yukawa coupling, at finite temperatures and varying fermion density. In a recent work [Phys.…

Strongly Correlated Electrons · Physics 2021-05-12 Wei Wang , Andrew Davis , Gaopei Pan , Yuxuan Wang , Zi Yang Meng

We report the superconducting properties of single crystals of the intermetallic perovskite-related compound BaBi$_{3}$. The superconducting transition temperature ($T_{c}=5.82$~K) was obtained from heat capacity measurements. Using the…

Superconductivity · Physics 2015-06-19 Neel Haldolaarachchige , S. K. Kushwaha , Quinn Gibson , R. J. Cava

Sachdev-Ye-Kitaev (SYK) model, which describes $N$ randomly interacting Majorana fermions in 0+1 dimension, is found to be an solvable UV-complete toy model for holographic duality in nearly AdS$_2$ dilaton gravity. Ref. [1] proposed a…

High Energy Physics - Theory · Physics 2020-06-24 Xiao-Liang Qi , Pengfei Zhang

We uncover that the competition between electron-electron correlations and electron-phonon interactions gives rise to unexpectedly huge enhancement of the superconducting transition temperature, several hundreds percent larger ($\geq$ 200…

Superconductivity · Physics 2013-07-24 Rayda Gammag , Ki-Seok Kim

In the Review we discuss anomalous aspects of superconductivity (SC) and normal state, as well as formation of inhomogeneous (droplet-like or cluster-like) states in electron systems with attraction. We consider both the models with the…

Superconductivity · Physics 2025-08-26 M. Yu. Kagan , A. V. Krasavin , R. Sh. Ikhsanov , E. A. Mazur , A. P. Menushenkov

We present a review of the Sachdev-Ye-Kitaev (SYK) model of compressible quantum many-body systems without quasiparticle excitations, and its connections to various theoretical studies of non-Fermi liquids in condensed matter physics. The…

Strongly Correlated Electrons · Physics 2022-12-06 Debanjan Chowdhury , Antoine Georges , Olivier Parcollet , Subir Sachdev

Motivated by a scarcity of simple and analytically tractable models of superconductivity from strong repulsive interactions, we introduce a simple tight-binding lattice model of fermions with repulsive interactions that exhibits…

Superconductivity · Physics 2019-02-12 Kevin Slagle , Yong Baek Kim

We analyze the anomalies of superconducting state (both s- and d-wave pairing) in the model of the pseudogap state induced by Heisenberg spin fluctuations of antiferromagnetic short-range order, and based on the scenario of strong…

Superconductivity · Physics 2015-06-24 N. A. Kuleeva , E. Z. Kuchinskii , M. V. Sadovskii

In this paper, the sixth in series, we continue our analysis of the interplay between non-Fermi liquid and pairing in the effective low-energy model of fermions with singular dynamical interaction $V(\Omega_m) = {\bar…

Superconductivity · Physics 2021-11-03 Shang-Shun Zhang , Yi-Ming Wu , Artem Abanov , Andrey V. Chubukov

We study a mechanism to induce superconductivity in atomically thin semiconductors where excitons mediate an effective attraction between electrons. Our model includes interaction effects beyond the paradigm of phonon-mediated…

Mesoscale and Nanoscale Physics · Physics 2024-11-28 Jonas von Milczewski , Xin Chen , Atac Imamoglu , Richard Schmidt

Using a weak-coupling renormalization group formalism, we study competing ordered phases for repulsively interacting fermions on the bilayer honeycomb lattice away from half-filling, which is realized experimentally as doped bilayer…

Superconductivity · Physics 2014-05-26 James M. Murray , Oskar Vafek