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Role of quenched randomness in metallic quantum criticality is one of the long standing problems in condensed matter physics. An aspect of the fundamental difficulties lies in the fact that such nonmagnetic disorders lead effective…

Strongly Correlated Electrons · Physics 2024-03-19 Kyoung-Min Kim , Ki-Seok Kim

We study spin density wave quantum critical points in two dimensional metals with a quenched disorder potential coupling to the electron density. Adopting an $\epsilon$-expansion around three spatial dimensions, where both disorder and the…

Strongly Correlated Electrons · Physics 2021-06-30 Johannes Halbinger , Matthias Punk

The concept of a disordered Fermi-liquid fixed point is introduced and used to understand various properties of disordered metals within a unifying framework. Corrections to scaling near this fixed point give what are commonly called…

Statistical Mechanics · Physics 2017-09-27 D. Belitz , T. R. Kirkpatrick

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 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

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

We study the problem of disorder-free metals near a continuous quantum critical point. We depart from the standard paradigm of Hertz and Millis, and treat both fermions and bosons i.e. order parameter fields) on equal footing. We construct…

Strongly Correlated Electrons · Physics 2013-09-18 A. Liam Fitzpatrick , Shamit Kachru , Jared Kaplan , S. Raghu

We investigate the effects of general non-magnetic quenched disorder on a two-dimensional spin-density-wave (SDW) quantum critical metallic system and discuss how a clean SDW non-Fermi liquid state becomes modified, based on a…

Strongly Correlated Electrons · Physics 2022-12-29 Iksu Jang , Ki-Seok Kim

We study the effect of quenched disorder on the semimetal-superconductor quantum phase transition in a model of two-dimensional Dirac semimetal with $N$ flavors of two-component Dirac fermions, using perturbative renormalization group…

Strongly Correlated Electrons · Physics 2018-12-03 Hennadii Yerzhakov , Joseph Maciejko

The gapless nodal fermions exhibit non-Fermi liquid behaviors at the nematic quantum critical point that is supposed to exist in some $d$-wave cuprate superconductors. This non-Fermi liquid state may be turned into a disorder-dominated…

Strongly Correlated Electrons · Physics 2015-05-26 Jing Wang

An effective field theory is derived that describes the quantum critical behavior of itinerant ferromagnets in the presence of quenched disorder. In contrast to previous approaches, all soft modes are kept explicitly. The resulting…

Statistical Mechanics · Physics 2009-10-31 D. Belitz , T. R. Kirkpatrick , Maria Teresa Mercaldo , Sharon L. Sessions

Using a functional renormalization group approach we derive the renormalization group (RG) flow of a dissipative variant of the Yukawa-Sachdev-Ye-Kitaev model describing $N$ fermions on a quantum dot which interact via a disorder-induced…

Strongly Correlated Electrons · Physics 2024-04-19 Niklas Cichutek , Andreas Rückriegel , Peter Kopietz

An important yet largely unsolved problem in the statistical mechanics of disordered quantum systems is to understand how quenched disorder affects quantum phase transitions in systems of itinerant fermions. In the clean limit, continuous…

Strongly Correlated Electrons · Physics 2020-11-19 Hennadii Yerzhakov , Joseph Maciejko

When a 2D superconductor is subjected to a strong in-plane magnetic field, Zeeman polarization of the Fermi surface can give rise to inhomogeneous FFLO order with a spatially modulated gap. Further increase of the magnetic field eventually…

Strongly Correlated Electrons · Physics 2018-07-17 Dimitri Pimenov , Ipsita Mandal , Francesco Piazza , Matthias Punk

The effects of quenched disorder on the critical properties of itinerant quantum antiferromagnets and ferromagnets are considered. Particular attention is paid to locally ordered spatial regions that are formed in the presence of quenched…

Statistical Mechanics · Physics 2009-10-31 R. Narayanan , Thomas Vojta , D. Belitz , T. R. Kirkpatrick

The interplay of interactions and disorder in two-dimensional (2D) electron systems has actively been studied for decades. The paradigmatic approach involves starting with a clean Fermi liquid and perturbing the system with both disorder…

Strongly Correlated Electrons · Physics 2020-12-29 P. A. Nosov , I. S. Burmistrov , S. Raghu

We study the superconducting instability of a two-dimensional disordered Fermi liquid weakly coupled to the soft fluctuations associated with proximity to an Ising-ferromagnetic quantum critical point. We derive interaction-induced…

Strongly Correlated Electrons · Physics 2023-04-25 P. A. Nosov , I. S. Burmistrov , S. Raghu

We study non-Fermi liquid states that arise at the quantum critical points associated with the spin density wave (SDW) and charge density wave (CDW) transitions in metals with twofold rotational symmetry. We use the dimensional…

Strongly Correlated Electrons · Physics 2016-11-22 Shouvik Sur , Sung-Sik Lee

We analyze quantum fluctuation effects at the onset of charge or spin density wave order with a $2k_F$ wave vector $\mathbf{Q}$ in two-dimensional metals -- for the special case where $\mathbf{Q}$ connects a pair of hot spots situated at…

Strongly Correlated Electrons · Physics 2024-02-08 Lukas Debbeler , Walter Metzner

To capture the universal low-energy physics of metals within effective field theories, one has to generalize the usual notion of scale invariance and renormalizable field theory due to the presence of intrinsic scales (Fermi momenta). In…

Strongly Correlated Electrons · Physics 2023-02-16 Francisco Borges , Anton Borissov , Ashutosh Singh , Andres Schlief , Sung-Sik Lee
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