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We study the quantum theory of a Fermi surface coupled to a gapless boson scalar in $D=4-\epsilon$ spacetime dimensions as a simple model for non-Fermi liquids (NFL) near a quantum phase transition. Our analysis takes into account the full…

Strongly Correlated Electrons · Physics 2014-11-21 Gonzalo Torroba , Huajia Wang

The problem of continuous quantum phase transitions in metals involves critical bosons coupled to a Fermi surface. We solve the theory in the limit of a large number, N_B, of bosonic flavors, where the bosons transform in the adjoint…

Strongly Correlated Electrons · Physics 2014-04-23 A. Liam Fitzpatrick , Shamit Kachru , Jared Kaplan , S. Raghu

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 the emergence of non-Fermi liquid on heterostructure interfaces where there exists an infinite number of critical boson modes accounting for the magnetic fluctuations in two spatial dimensions. The interfacial Dzyaloshinskii-Moriya…

Strongly Correlated Electrons · Physics 2023-11-21 Xiao-Tian Zhang , Gang Chen

We study the problem of disorder-free metals near a continuous Ising nematic quantum critical point in $d=3+1$ dimensions. We begin with perturbation theory in the `Yukawa' coupling between the electrons and undamped bosons (nematic order…

Strongly Correlated Electrons · Physics 2013-09-11 R. Mahajan , D. M. Ramirez , S. Kachru , S. Raghu

We study a distinct type of non-Fermi liquid where there exists an infinite number of critical bosonic modes instead of a finite number of bosonic modes for the conventional ones. We consider itinerant magnets with both conduction electrons…

Strongly Correlated Electrons · Physics 2023-02-24 Xiao-Tian Zhang , Gang Chen

This paper constitutes a sequel to our theoretical efforts to determine the nature of generic low-energy deformations of the Fermi surface of a quantum-critical metal, which arises at the stable non-Fermi liquid (NFL) fixed point of a…

Strongly Correlated Electrons · Physics 2026-03-18 Kazi Ranjibul Islam , Aditya Savanur , Ipsita Mandal

Non-Fermi liquids in $d=2$ spatial dimensions can arise from coupling a Fermi surface to a gapless boson. At finite temperature, however, the perturbative quantum field theory description breaks down due to infrared divergences. These are…

Strongly Correlated Electrons · Physics 2020-08-05 Jeremias Aguilera Damia , Mario Solis , Gonzalo Torroba

We study the low-energy behavior of metals coupled to gapless bosons. This problem arises in several contexts in modern condensed matter physics; we focus on the theory of metals near continuous quantum phase transitions (where the boson is…

Strongly Correlated Electrons · Physics 2014-06-06 A. Liam Fitzpatrick , Shamit Kachru , Jared Kaplan , Steven A. Kivelson , S. Raghu

We revisit the interplay between superconductivity and quantum criticality when thermal effects from virtual static bosons are included. These contributions, which arise from an effective theory compactified on the thermal circle, strongly…

Strongly Correlated Electrons · Physics 2021-05-05 Jeremias Aguilera Damia , Mario Solis , Gonzalo Torroba

We propose a model of metallic critical point which we study at $T=0$ in the large-$N$ limit. We start with two species of fermions $u_i, d_i$, each with $N$ flavors and a gas of matrix bosons $b_{ij}$ with $N^2$ components. The fermions…

Strongly Correlated Electrons · Physics 2026-03-10 Vibhu Mishra

We study the fate of superconductivity in the vicinity of a class of metallic quantum critical points obtained by coupling a Fermi surface to a critical boson. In such systems there is a competition between the enhanced pairing tendency due…

Strongly Correlated Electrons · Physics 2015-11-11 Srinivas Raghu , Gonzalo Torroba , Huajia Wang

Studies of non-Fermi liquid properties in heavy fermions have led to the current interest in the Bose-Fermi Kondo model. Here we use a dynamical large-N approach to analyze an SU(N)xSU($\kappa N$) generalization of the model. We establish…

Strongly Correlated Electrons · Physics 2007-05-23 Lijun Zhu , Stefan Kirchner , Qimiao Si , Antoine Georges

We consider a Bardeen-Cooper-Schrieffer (BCS)-like model in the inflationary background. We show that with an axial chemical potential, the attractive quartic fermion self-interaction can lead to a BCS-like condensation. In the rigid-de…

High Energy Physics - Theory · Physics 2024-06-11 Xi Tong , Yi Wang , Chen Zhang , Yuhang Zhu

The destruction of Fermi liquid behavior when a gapless Fermi surface is coupled to a fluctuating gapless boson field is studied theoretically. This problem arises in a number of different contexts in quantum many body physics. Examples…

Strongly Correlated Electrons · Physics 2010-12-14 David F. Mross , John McGreevy , Hong Liu , T. Senthil

We consider the emergence of a non-Fermi liquid fixed point in a two-dimensional metal, at the onset of a quantum phase transition from a Fermi liquid state to an incommensurate charge density wave (CDW) ordered phase. The momentum of the…

Strongly Correlated Electrons · Physics 2025-09-11 Ipsita Mandal

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 present a functional renormalization group calculation of the properties of a quantum critical metal in $d=2$ spatial dimensions. Our theory describes a general class of Pomeranchuk instabilities with $N_b$ flavors of boson. At small…

Strongly Correlated Electrons · Physics 2018-12-05 Matthew J. Trott , Chris A. Hooley

Non-Fermi liquid phenomena arise naturally near critical points of Landau ordering transitions in metallic systems, where strong fluctuations of a bosonic order parameter destroy coherent quasiparticles. Despite progress in developing…

Strongly Correlated Electrons · Physics 2022-11-02 Zhengyan Darius Shi , Hart Goldman , Dominic V. Else , T. Senthil

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
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