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We present two 2D lattice models with non-Fermi liquid metallic phases. We show that the low energy physics of these models is exactly described by a Fermi sea of fractionalized quasiparticles coupled to a fluctuating U(1) gauge field. In…

Strongly Correlated Electrons · Physics 2009-11-13 Michael Levin , T. Senthil

The standard description of quantum critical points takes into account only fluctuations of the order parameter, and treats quantum fluctuations as extra dimensions of classical fluctuations. This picture can break down in a qualitative…

Strongly Correlated Electrons · Physics 2007-05-23 Qimiao Si

We study the interplay among disorder, RKKY and Kondo interactions in {\it f}-electron alloys. We argue that the non-Fermi liquid behavior observed in these systems is due to the existence of a Griffiths phase close to a quantum critical…

Strongly Correlated Electrons · Physics 2009-10-30 A. H. Castro Neto , G. Castilla , B. A. Jones

The Fermi liquid paradigm for metals has contributed enormously to our understanding of condensed matter systems. However a growing number of quantum critical systems have been shown to exhibit non Fermi liquid behavior. A full…

Strongly Correlated Electrons · Physics 2020-09-02 C. -Y. Lin , Y. -Y. Chang , C. Rylands , N. Andrei , C. -H. Chung

Non-fermi liquid and unconventional quantum critical points (QCP) with strong fractionalization are two exceptional phenomena beyond the classic condensed matter doctrines, both of which could occur in strongly interacting quantum many-body…

Strongly Correlated Electrons · Physics 2020-07-07 Yichen Xu , Hao Geng , Xiao-Chuan Wu , Chao-Ming Jian , Cenke Xu

A model of copper-oxygen bonding and anti-bonding bands with the most general two-body interactions allowable by symmetry is considered. The model has a continuous transition as a function of hole-density x and temperature T to a phase in…

Strongly Correlated Electrons · Physics 2016-08-31 C. M. Varma

In this paper we continue our analysis of the interplay between the pairing and the non-Fermi liquid behavior in a metal for a set of quantum-critical (QC) systems with an effective dynamical electron-electron interaction $V(\Omega_m)…

Superconductivity · Physics 2021-01-27 Yi-Ming Wu , Shang-Shun Zhang , Artem Abanov , Andrey V. Chubukov

We study several models of $d$-dimensional fermions ($d=1,2,3$) with an emphasis on the properties of their gapless (metallic) phase. It occurs at $T = 0$ as a continuous transition when zeros of the partition function reach the real range…

Strongly Correlated Electrons · Physics 2025-08-25 Gennady Y. Chitov

The spherical spin model with infinite-range ferromagnetic interactions is investigated analytically in the framework of non-extensive thermostatics generalizing the Boltzmann-Gibbs statistical mechanics. We show that for repulsive…

Statistical Mechanics · Physics 2008-12-18 Robert Botet , Marek Ploszajczak , Jorge A. Gonzalez

We devise a dimensional regularization scheme for quantum field theories with Fermi surface to study scaling behaviour of non-Fermi liquid states in a controlled approximation. Starting from a Fermi surface in two space dimensions, the…

Strongly Correlated Electrons · Physics 2013-12-12 Denis Dalidovich , Sung-Sik Lee

We show that in the Anderson model for a two-dimensional non-Fermi liquid a magnetic instability can lead to the itinerant electron ferromagnetism. The critical temperature and the susceptibility of the paramagnetic phase have been…

Strongly Correlated Electrons · Physics 2009-10-31 I. Tifrea , I. Grosu , M. Crisan

Presenting exact solutions for the two dimensional periodic Anderson model with finite and nonzero on-site interaction U>0, we are describing a rigorous non-Fermi liquid phase in normal phase and 2D. This new state emerges in multi-band…

Strongly Correlated Electrons · Physics 2009-11-07 Peter Gurin , Zsolt Gulacsi

Strong quantum fluctuations in magnetic systems can create disordered quantum spin liquid phases of matter which are not predicted by classical physics. The complexity of the exotic phenomena on display in spin liquids has led to a great…

Strongly Correlated Electrons · Physics 2020-05-11 Matthew C. O'Brien , Oleg P. Sushkov

In quantum critical metals, a plethora of different non-Fermi liquids arises depending on the nature of critical fluctuations coupled to Fermi surfaces. In this paper, we classify non-Fermi liquids that arise from q=0 critical fluctuations…

Strongly Correlated Electrons · Physics 2026-04-17 Shubham Kukreja , Dawson M. Willerton , Sung-Sik Lee

We review recent work on continuous quantum phase transitions in impurity models, both with fermionic and bosonic baths - these transitions are interesting realizations of boundary critical phenomena at zero temperature. The models with…

Statistical Mechanics · Physics 2015-06-24 Matthias Vojta

A model of two interacting one--dimensional fermion systems (``Luttinger liquids'') coupled by single--particle hopping is investigated. Bosonization allows a number of exact statements to be made. In particular, for forward scattering…

Condensed Matter · Physics 2009-10-22 H. J. Schulz

We report on a potentially new class of non-Fermi liquids in (2+1)-dimensions. They are identified via the response functions of composite fermionic operators in a class of strongly interacting quantum field theories at finite density,…

High Energy Physics - Theory · Physics 2011-05-10 Hong Liu , John McGreevy , David Vegh

We demonstrate the emergence of an intrinsic space-time crystalline order in a long ferromagnetic $\varphi_{0}$ Josephson junction on a topological insulator without any external periodic modulation. The presence of the exchange and…

Superconductivity · Physics 2025-11-18 M. Nashaat , J. Tekić , Yu. M. Shukrinov

We study a multi-band Hubbard model in its orbital selective Mott phase, in which localized electrons in a narrow band coexist with itinerant electrons in a wide band. The low-energy physics of this phase is shown to be closely related to…

Strongly Correlated Electrons · Physics 2009-11-11 S. Biermann , L. de' Medici , A. Georges

We use high-dimensional bosonization to derive an effective field theory that describes the Pomeranchuck transition in isotropic two-dimensional Fermi liquids. We find that the transition is triggered by the softening of an eigenmode that…

Strongly Correlated Electrons · Physics 2025-11-04 Zhengfei Hu , Jaychandran Padayasi , Oğuz Türker , Kun Yang
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