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The aim of this work is to investigate the occurrence of two different spontaneous symmetry breakings {at} two levels of the description of fermion-scalar field model, by means of a set of gap equations and {with} a background field…

High Energy Physics - Theory · Physics 2022-06-29 A. A. Nogueira , F. L. Braghin

A central puzzle in strongly correlated electronic phases is strange metallic transport, marked by $T$-linear resistivity and $B$-linear magnetoresistance, in sharp contrast with quadratic scalings observed in conventional metals. Here, we…

Strongly Correlated Electrons · Physics 2026-05-08 Jaewon Kim , Shubhayu Chatterjee

One of the most promising routes to non-fermi liquids and strange metals has been through SYK models \cite{Sachdev:2010um}, which necessarily involve large flavor degrees of freedom and interactions with imposed disorder. We introduce an…

Strongly Correlated Electrons · Physics 2024-02-07 G. C. Levine

A Fermi surface coupled to a scalar field can be described in a $1/N$ expansion by choosing the fermion-scalar Yukawa coupling to be random in the $N$-dimensional flavor space, but invariant under translations. We compute the conductivity…

Strongly Correlated Electrons · Physics 2023-07-20 Haoyu Guo , Aavishkar A. Patel , Ilya Esterlis , Subir Sachdev

The R parity odd renormalizable Yukawa interactions of quarks and leptons with the scalar superpartners have the ability to violate the baryon and lepton numbers, change the hadron and lepton flavors and make the lightest supersymmetric…

High Energy Physics - Phenomenology · Physics 2014-11-17 Marc Chemtob

We investigate how strongly broken spatial symmetries affect the Kohn--Luttinger (KL) mechanism, in which superconductivity emerges purely from repulsive interactions. While the original KL argument assumes continuous rotational symmetry,…

Superconductivity · Physics 2026-01-21 Amir Dalal , Jonathan Ruhman , Vladyslav Kozii

The matter content of the Standard Model admits a global symmetry due to the generational structure of the spectrum respected by all interactions except for fermion couplings to the Higgs doublet. This symmetry is identified as the largest…

High Energy Physics - Phenomenology · Physics 2013-07-09 Rodrigo Alonso

We discuss a 1+1 dimensional generalization of the Sachdev-Ye-Kitaev model. The model contains $N$ Majorana fermions at each lattice site with a nearest-neighbour hopping term. The SYK random interaction is restricted to low momentum…

High Energy Physics - Theory · Physics 2017-03-08 Micha Berkooz , Prithvi Narayan , Moshe Rozali , Joan Simón

We study the effect of electron-electron interaction on the surface resistivity of three-dimensional (3D) topological insulators. In the absence of umklapp scattering, the existence of the Fermi-liquid ($T^2$) term in resistivity of a…

Materials Science · Physics 2016-03-08 H. K. Pal , V. I. Yudson , D. L. Maslov

We investigate strong-coupling properties of a two-dimensional ultracold Fermi gas in the normal phase. In the three-dimensional case, it has been shown that the so-called pseudogap phenomena can be well described by a (non-self-consistent)…

Quantum Gases · Physics 2016-10-31 Morio Matsumoto , Ryo Hanai , Daisuke Inotani , Yoji Ohashi

The density correlations of some singular Fermi liquids with anomalous properties such as resistivity varying linearly with T at low temperatures, a $T \log T$ contribution to the entropy and thermopower, etc., are expected to be quite…

Strongly Correlated Electrons · Physics 2017-08-16 Chandra M. Varma

Conformal field theory finds applications across diverse fields, from statistical systems at criticality to quantum gravity through the AdS/CFT correspondence. These theories are subject to strong constraints, enabling a systematic…

High Energy Physics - Theory · Physics 2024-01-22 Julien Barrat

We extend the well-known theoretical treatment of the spontaneous symmetry breaking (SSB) in two-component systems, combining linear coupling and self-attractive nonlinearity, to a system in which the linear coupling competes with repulsive…

Pattern Formation and Solitons · Physics 2020-08-12 Hidetsugu Sakaguchi , Boris A. Malomed

We investigate an extension of the left-right symmetric model featuring an additional non-abelian $SU(2)$ gauge symmetry. The particle content is augmented by one generation of vector-like leptons transforming under the fundamental…

High Energy Physics - Phenomenology · Physics 2026-03-11 Yassine Bouzeraib , Mohamed Sadek Zidi , Geneviève Bélanger

We explain recent challenging experimental observations of universal scattering rate related to the linear-temperature resistivity exhibited by a large corps of both strongly correlated Fermi systems and conventional metals. We show that…

Strongly Correlated Electrons · Physics 2019-10-29 V. R. Shaginyan , M. Ya. Amusia , A. Z. Msezane , V. A. Stephanovich , G. S. Japaridze , S. A. Artamonov

The 0+1-d Sachdev-Ye-Kitaev (SYK) fermionic model attracts nowadays a wide spread interest of the Condensed Matter community, as a benchmark toy model for strong electron correlation and non Fermi Liquid behavior. It is exactly solvable in…

Strongly Correlated Electrons · Physics 2022-04-06 A. Tagliacozzo

The linear response is studied in globally coupled oscillator systems including the Kuramoto model. We develop a linear response theory which can be applied to systems whose coupling functions are generic. Based on the theory, we examine…

Adaptation and Self-Organizing Systems · Physics 2018-02-26 Yu Terada , Keigo Ito , Ryosuke Yoneda , Toshio Aoyagi , Yoshiyuki Y. Yamaguchi

The type-II Weyl/Dirac fermions are a generalization of conventional or type-I Weyl/Dirac fermions, whose conic spectrum is tilted such that the Fermi surface becomes lines in two dimensions, and surface in three dimensions rather than…

Mesoscale and Nanoscale Physics · Physics 2017-05-15 Ze-Min Huang , Jianhui Zhou , Shun-Qing Shen

We study a model of fermions with random couplings similar to conventional SYK with $N$ number of flavours of fermions, at large $N$. Unlike the conventional SYK model, which has all-to-all couplings, the model we study, which we call local…

High Energy Physics - Theory · Physics 2023-07-13 Takanori Anegawa , Norihiro Iizuka , Sunil Kumar Sake

The nonlinear supermatrix $\sigma $-model is widely used to understand the physics of Anderson localization and the level statistics in noninteracting disordered electron systems. In contrast to the general belief that the supersymmetry…

Strongly Correlated Electrons · Physics 2020-09-03 Tigran A. Sedrakyan , Konstantin B. Efetov