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Related papers: Approaching Pomeranchuk Instabilities from Ordered…

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We investigate the approach to the quantum critical point of a Pomeranchuk instability from the symmetric, disordered side of the phase diagram. In the low-temperature limit, a Fermi liquid description of the metal is possible and becomes…

Strongly Correlated Electrons · Physics 2015-06-25 P. Wölfle , A. Rosch

We address at the mean field level the emergence of a Pomeranchuk instability in a uniform Fermi liquid with \emph{central} particle-particle interactions. We find that Pomeranchuk instabilities with all symmetries except $l=1$ can take…

Strongly Correlated Electrons · Physics 2007-05-23 J. Quintanilla , A. J. Schofield

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

Nematic quantum fluids appear in strongly interacting systems and break the rotational symmetry of the crystallographic lattice. In metals, this is connected to a well-known instability of the Fermi liquid-the Pomeranchuk instability. Using…

Nematicity in quantum Hall systems has been experimentally well established at excited Landau levels. The mechanism of the symmetry breaking, however, is still unknown. Pomeranchuk instability of Fermi liquid parameter $F_{\ell} \le -1$ in…

Strongly Correlated Electrons · Physics 2018-10-12 Kyungmin Lee , Junping Shao , Eun-Ah Kim , F. D. M. Haldane , Edward H. Rezayi

We develop a method to detect instabilities leading to nematic phases in strongly coupled metallic systems. We do so by adapting the well-known Pomeranchuk technique to a weakly coupled system of fermions in a curved asymptotically AdS…

High Energy Physics - Theory · Physics 2021-07-23 Gastón Giordano , Nicolás Grandi , Adrián Lugo

We derive renormalization group equations which allow us to treat order parameter fluctuations near quantum phase transitions in cases where an expansion in powers of the order parameter is not possible. As a prototypical application, we…

Strongly Correlated Electrons · Physics 2013-05-29 P. Jakubczyk , W. Metzner , H. Yamase

We study the competition between the nematic and the hexatic phases of a two-dimensional spinless Fermi fluid near Pomeranchuk instabilities. We show that the general phase diagram of this theory contains a bicritical point where two second…

Strongly Correlated Electrons · Physics 2008-07-15 Daniel G. Barci , Marta Trobo , Victoria Fernández , Luis E. Oxman

We perform a microscropic analysis of how the constraints imposed by conservation laws affect $q=0$ Pomeranchuk instabilities in a Fermi liquid. The conventional view is that these instabilities are determined by the static interaction…

Strongly Correlated Electrons · Physics 2018-04-11 Yi-Ming Wu , Avraham Klein , Andrey V. Chubukov

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 present a mean field theory of the Pomeranchuk instability in two dimensions, starting from a generic central interaction potential described in terms of a few microscopic parameters. For a significant range of parameters, the…

Strongly Correlated Electrons · Physics 2008-07-30 J. Quintanilla , M. Haque , A. J. Schofield

We develop a procedure for detecting Fermi liquid instabilities by extending the analysis of Pomeranchuk to two-dimensional lattice systems. The method is very general and straightforward to apply, thus providing a powerful tool for the…

Strongly Correlated Electrons · Physics 2008-10-06 C. A. Lamas , D. C. Cabra , N. Grandi

The emergence of the Pomeranchuk instability (PI) in a Helical Fermi liquid (HFL) residing on the surface of a three-dimensional topological insulator (3D TI) is addressed at the mean-field level. An expression for the PI condition is…

Strongly Correlated Electrons · Physics 2018-12-31 Subhajit Sarkar

We develop a theory for a generic instability of a Fermi liquid in dimension d>1 against the formation of a Luttinger-liquid-like state. The density of states at the Fermi level is the order parameter for the ensuing quantum phase…

Strongly Correlated Electrons · Physics 2013-10-01 T. R. Kirkpatrick , D. Belitz

In the present paper we extend the method to detect Pomeranchuk instabilities in lattice systems developed in previous works to study more general situations. The main result presented here is the extension of the method to include finite…

Strongly Correlated Electrons · Physics 2011-11-15 C. A. Lamas , D. C. Cabra , N. Grandi

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

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

The formation of new phases close to itinerant electron quantum critical points has been observed experimentally in many compounds. We present a unified analytical model that explains the emergence of new types of order around itinerant…

Strongly Correlated Electrons · Physics 2012-04-09 Una Karahasanovic , Frank Krüger , Andrew G. Green

We investigate instabilities in the charge channel in the vicinity of (meta-)magnetic transitions of itinerant electron systems. Based on a weak coupling analysis we argue that in a one-band $t$-$t'$ Hubbard model near the van Hove filling…

Strongly Correlated Electrons · Physics 2007-05-23 Carsten Honerkamp

We study the Fermi surface instabilities of the Pomeranchuk type in the spin triplet channel with high orbital partial waves ($F_{l}^a ~(l>0)$). The ordered phases are classified into two classes, dubbed the $\alpha$ and $\beta$-phases by…

Strongly Correlated Electrons · Physics 2007-05-23 Congjun Wu , Kai Sun , Eduardo Fradkin , Shou-Cheng Zhang
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