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We present a renormalization group theory for the onset of Ising-nematic order in a Fermi liquid in two spatial dimensions. This is a quantum phase transition, driven by electron interactions, which spontaneously reduces the point-group…

Strongly Correlated Electrons · Physics 2010-08-24 Max A. Metlitski , Subir Sachdev

We present numerical evidence for a paradigm in one-dimensional interacting fermion systems, whose phenomenology has traits of both Luttinger liquids and Fermi liquids. This state, dubbed a quasi-Fermi liquid, possesses a discontinuity in…

Strongly Correlated Electrons · Physics 2024-02-05 Joshua D. Baktay , Alexander V. Rozhkov , Adrian E. Feiguin , Julian Rincon

Minimally doubled fermions have been proposed as a cost-effective realization of chiral symmetry at non-zero lattice spacing. Using lattice perturbation theory at one loop, we study their renormalization properties. Specifically, we…

High Energy Physics - Lattice · Physics 2015-05-13 Stefano Capitani , Johannes Weber , Hartmut Wittig

We study the one-dimensional Kondo lattice model through the density matrix renormalization group (DMRG). Our results for the spin correlation function indicate the presence of a small Fermi surface in large portions of the phase diagram,…

Strongly Correlated Electrons · Physics 2007-05-23 J. C. Xavier , E. Novais , E. Miranda

The numerical renormalization group is employed to study a double quantum (DQD) dot system consisting of two equivalent single-level dots, each coupled to its own lead and with a mutual capacitive coupling embodied in an interdot…

Strongly Correlated Electrons · Physics 2007-05-23 Martin R. Galpin , David E. Logan , H. R. Krishnamurthy

We study a model in 2+1 dimensions composed of a Fermi surface of $N_f$ flavors of fermions coupled to scalar fluctuations near quantum critical points (QCPs). The $N_f\rightarrow0$ limit allows us to non-perturbatively calculate the…

Strongly Correlated Electrons · Physics 2021-03-17 Petter Säterskog

We investigate a quantum many-body lattice system of one-dimensional spinless fermions interacting with a dynamical $Z_2$ gauge field. The gauge field mediates long-range attraction between fermions resulting in their confinement into…

Strongly Correlated Electrons · Physics 2020-03-31 Umberto Borla , Ruben Verresen , Fabian Grusdt , Sergej Moroz

We develop an asymptotically exact renormalization group (RG) approach that treats electron-electron and electron-phonon interactions on equal footing. The approach allows an unbiased study of the instabilities of Fermi liquids without the…

Superconductivity · Physics 2007-05-23 S. -W. Tsai , A. H. Castro Neto , R. Shankar , D. K. Campbell

Renormalization group methods are well-established tools for the (numerical) investigation of the low-energy properties of correlated quantum many-body systems, allowing to capture their scale-dependent nature. The functional…

Strongly Correlated Electrons · Physics 2022-06-09 Dominik Kiese , Tobias Mueller , Yasir Iqbal , Ronny Thomale , Simon Trebst

Using the one-loop functional renormalization group technique we evaluate the self-energy in the weak-coupling regime of the 2D t-t' Hubbard model. At van Hove (vH) band fillings and at low temperatures the quasiparticle weight along the…

Strongly Correlated Electrons · Physics 2009-11-10 A. A. Katanin , A. P. Kampf

A quasiparticle band structure of a single layer 2H-NbSe$_2$ is reported by using first-principles $GW$ calculation. We show that a self-energy correction increases the width of a partially occupied band and alters its Fermi surface shape…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Sejoong Kim , Young-Woo Son

Quantum critical behavior in the two-impurity Kondo model requires the distinct separation of two scales, T_K >> T*, where T_K is the Kondo temperature and T* is the scale at which the system renormalizes away from the quantum critical…

Mesoscale and Nanoscale Physics · Physics 2011-11-01 Justin Malecki , Eran Sela , Ian Affleck

A focus of recent experimental and theoretical studies on heavy fermion systems close to antiferromagnetic (AFM) quantum critical points (QCP) is directed toward revealing the nature of the fixed point, i.e., whether it is an itinerant…

Strongly Correlated Electrons · Physics 2007-05-23 Hiroaki Kadowaki , Yoshikazu Tabata , Masugu Sato , Naofumi Aso , Stephane Raymond , Shuzo Kawarazaki

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 construct a two-dimensional lattice model of fermions coupled to Ising ferromagnetic critical fluctuations. Using extensive sign-problem-free quantum Monte Carlo simulations, we show that the model realizes a continuous itinerant quantum…

Strongly Correlated Electrons · Physics 2017-09-29 Xiao Yan Xu , Kai Sun , Yoni Schattner , Erez Berg , Zi Yang Meng

A one-dimensional electron system at quarter-filling has been examined by applying the renormalization group method to a bosonized model with on-site (U) and nearest-neighbor (V) repulsive interactions. By evaluating both normal scattering…

Strongly Correlated Electrons · Physics 2009-10-31 Hideo Yoshioka , Masahisa Tsuchiizu , Yoshikazu Suzumura

This article develops a Fermi-liquid theory for superconductors with anisotropic Fermi surfaces, Fermi-liquid interactions, and energy gaps. For d-wave superconductors, the Fermi-liquid interaction effects are found to be classifiable into…

Superconductivity · Physics 2007-05-23 M. B. Walker

We highlight the exotic quantum criticality of quasi-two-dimensional single-component fermions at half-filling that are minimally coupled to a dynamical Ising gauge theory. With the numerical matrix product state based infinite density…

Strongly Correlated Electrons · Physics 2024-11-26 Umberto Borla , Snir Gazit , Sergej Moroz

In this paper, we develop a weak-coupling treatment of nonperturbative QCD to heavy hadrons on the light-front. First, we present a derivation of quark confining interaction in light-front QCD for heavy quark systems, based on the recently…

High Energy Physics - Phenomenology · Physics 2008-02-03 Wei-Min Zhang

We propose an analytical model for the accurate calculation of size and density dependent quantum oscillations in thermodynamic and transport properties of confined and degenerate non-interacting Fermi gases. We provide a universal,…

Quantum Gases · Physics 2018-09-11 Alhun Aydin , Altug Sisman
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