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A metallic electron system near an orientational symmetry breaking Pomeranchuk instability is characterized by a ''soft'' Fermi surface with enhanced collective fluctuations. We analyze fluctuation effects in a two-dimensional electron…

Strongly Correlated Electrons · Physics 2010-12-30 Luca Dell'Anna , Walter Metzner

We consider two-dimensional metals near a Pomeranchuk instability which breaks 90$^\circ$ lattice rotation symmetry. Such metals realize strongly-coupled non-Fermi liquids with critical fluctuations of an Ising-nematic order. At low…

Strongly Correlated Electrons · Physics 2014-04-30 Sean A. Hartnoll , Raghu Mahajan , Matthias Punk , Subir Sachdev

We study magnetic field effects on spontaneous Fermi surface symmetry breaking with d-wave symmetry, the so-called d-wave "Pomeranchuk instability''. We use a mean-field model of electrons with a pure forward scattering interaction on a…

Strongly Correlated Electrons · Physics 2009-11-13 Hiroyuki Yamase

The Pomeranchuk instability, in which an isotropic Fermi surface distorts and becomes anisotropic due to strong interactions, is a possible mechanism for the growing number of experimental systems which display transport properties that…

High Energy Physics - Theory · Physics 2015-06-04 Mohammad Edalati , Ka Wai Lo , Philip W. Phillips

Magnetism typically arises from the effect of exchange interactions on highly localized fermionic wave functions in f- and d-atomic orbitals. In rhombohedral multilayer graphene (RMG), in contrast, magnetism-manifesting as spontaneous…

As a paradigmatic example of multi-scale quantum criticality, we consider the Pomeranchuk instability of an isotropic Fermi liquid in two spatial dimensions, d=2. The corresponding Ginzburg-Landau theory for the quadrupolar fluctuations of…

Strongly Correlated Electrons · Physics 2015-05-13 Mario Zacharias , Peter Wölfle , Markus Garst

We present a systematic stability analysis for the two-dimensional Hubbard model, which is based on a new renormalization group method for interacting Fermi systems. The flow of effective interactions and susceptibilities confirms the…

Strongly Correlated Electrons · Physics 2009-10-31 Christoph J. Halboth , Walter Metzner

Interplay of Pomeranchuk instability (spontaneous symmetry breaking of the Fermi surface) and d-wave superconductivity is studied for the repulsive Hubbard model on the square lattice with the dynamical mean field theory combined with the…

Superconductivity · Physics 2017-02-08 Motoharu Kitatani , Naoto Tsuji , Hideo Aoki

We propose that cuprate superconductors are in the vicinity of a spontaneous d-wave type Fermi surface symmetry breaking, often called a d-wave Pomeranchuk instability. This idea is explored by means of a comprehensive study of magnetic…

Superconductivity · Physics 2021-08-05 Hiroyuki Yamase

We analyze the DC charge transport in the quantum critical regime near a d-wave Pomeranchuk instability in two dimensions. The transport decay rate is linear in temperature everywhere on the Fermi surface except at cold spots on the…

Strongly Correlated Electrons · Physics 2007-05-23 Luca Dell'Anna , Walter Metzner

We perform a comprehensive numerical study of d-wave Fermi surface deformations (dFSD) on a square lattice, the so-called d-wave Pomeranchuk instability, including bilayer coupling. Since the order parameter corresponding to the dFSD has…

Strongly Correlated Electrons · Physics 2015-05-13 Hiroyuki Yamase

Electron-electron interactions can induce Fermi surface deformations which break the point-group symmetry of the lattice structure of the system. In the vicinity of such a "Pomeranchuk instability" the Fermi surface is easily deformed by…

Strongly Correlated Electrons · Physics 2009-11-10 W. Metzner , D. Rohe , S. Andergassen

We compute the leading behavior of the uniform magnetic susceptibility, $\chi$, of a Fermi liquid near an antiferromagnetic transition with dynamic exponent $z=2$. Our calculation clarifies the role of triangular ``anomaly'' graphs in the…

Condensed Matter · Physics 2009-10-22 L. B. Ioffe , A. J. Millis

The spontaneous appearance of nematicity, a state of matter that breaks rotation but not translation symmetry, is one of the most intriguing property of the iron based superconductors (Fe SC), and has relevance for the cuprates as well.…

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

Using a description of defects in solids in terms of three-dimensional gravity, we study the propagation of electrons in the background of disclinations and screw dislocations. We study the situations where there are bound states that are…

High Energy Physics - Theory · Physics 2009-10-30 A. P. Balachandran , V. John , Arshad Momen , F. Moraes

We analyze a model of itinerant electrons interacting through a quadrupole density-density repulsion in three dimensions. At the mean field level, the interaction drives a continuous Pomeranchuk instability towards $d$-wave, spin-triplet…

Strongly Correlated Electrons · Physics 2016-06-08 G. Hannappel , C. J. Pedder , F. Krüger , A. G. Green

We analyze a two-dimensional Pomeranchuk-Nematic instability, trigger by the Landau parameter $F_2<0$, in the presence of a small magnetic field. Using Landau Fermi liquid theory in the isotropic phase, we analyze the collective modes near…

Strongly Correlated Electrons · Physics 2013-03-13 Daniel G. Barci , Daniel Reyes

In this work we revisit itinerant ferromagnetism in 2D and 3D electron gases with arbitrary spin-orbit splitting and strong electron-electron interaction. We identify the resonant scattering processes close to the Fermi surface that are…

Strongly Correlated Electrons · Physics 2023-01-03 Dmitry Miserev , Daniel Loss , Jelena Klinovaja

We explore features of a 3D Fermi liquid near generalized Pomeranchuk instabilities using a tractable crossing symmetric equation method. We approach the instabilities from the ordered ferromagnetic phase. We find quantum multi-criticality…

Strongly Correlated Electrons · Physics 2015-09-01 Kelly Reidy , Khandker Quader , Kevin Bedell
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