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The electronic nematic phase occurs when the point-group symmetry of the lattice structure is broken, due to electron-electron interactions. We study a model for the nematic phase on a square lattice with emphasis on the phase transition…

Strongly Correlated Electrons · Physics 2009-11-10 Hae-Young Kee , Eugene H. Kim , Chung-Hou Chung

We apply the self-consistent renormalized perturbation theory to the Hubbard model on the square lattice, at finite temperatures in order to study the evolution of the Fermi-surface (FS) as a function of temperature and doping. Previously,…

Strongly Correlated Electrons · Physics 2018-12-07 Sergey Slizovskiy , Pablo Rodriguez-Lopez , Joseph J. Betouras

An electronic nematic phase can be classified by a spontaneously broken discrete rotational symmetry of a host lattice. In a square lattice, there are two distinct nematic phases. The parallel nematic phase breaks $x$ and $y$ symmetry,…

Strongly Correlated Electrons · Physics 2007-05-23 Hyeonjin Doh , Nir Friedman , Hae-Young Kee

We present a theory of the isotropic-nematic quantum phase transition in the composite Fermi liquid arising in half-filled Landau levels. We show that the quantum phase transition between the isotropic and the nematic phase is triggered by…

Strongly Correlated Electrons · Physics 2016-05-04 Yizhi You , Gil Young Cho , Eduardo Fradkin

Understanding the organizing principles of interacting electrons and the emergence of novel electronic phases is a central endeavor of condensed matter physics. Electronic nematicity, in which the discrete rotational symmetry in the…

We study the phase diagram of electronic nematic instability in the presence of xy anisotropy. While a second order transition cannot occur in this case, mean-field theory predicts that a first order transition occurs near van Hove filling…

Strongly Correlated Electrons · Physics 2015-05-22 Hiroyuki Yamase

Correlated electron fluids can exhibit a startling array of complex phases, among which one of the more surprising is the electron nematic, a translationally invariant metallic phase with a spontaneously generated spatial anisotropy.…

Strongly Correlated Electrons · Physics 2015-03-13 Eduardo Fradkin , Steven A. Kivelson , Michael J. Lawler , James P. Eisenstein , Andrew P. Mackenzie

We develop a microscopic theory of the electronic nematic phase proximate to an isotropic Fermi liquid in both two and three dimensions. Explicit expressions are obtained for the small amplitude collective excitations in the ordered state;…

Strongly Correlated Electrons · Physics 2009-11-07 Vadim Oganesyan , Steven Kivelson , Eduardo Fradkin

We address the problem of orientational order in frustrated interaction systems as a function of the relative range of the competing interactions. We study a spin model Hamiltonian with short range ferromagnetic interaction competing with…

Statistical Mechanics · Physics 2013-06-14 Daniel G. Barci , Leonardo Ribeiro , Daniel A. Stariolo

Motivated by the search for quantum liquid crystal phases in a gas of ultracold atoms and molecules, we study the density wave and nematic instabilities of dipolar fermions on the two-dimensional square lattice (in the $x-y$ plane) with…

Quantum Gases · Physics 2015-03-13 Chungwei Lin , Erhai Zhao , W. Vincent Liu

Electronic stripe/nematic phases are fascinating strongly-correlated states characterized by spontaneous rotational symmetry breaking. In the quantum Hall regime, such phases typically emerge at half-filled, high-orbital-index ($N\geq2$)…

Mesoscale and Nanoscale Physics · Physics 2025-12-16 Chengyu Wang , Siddharth K. Singh , Chia-Tse Tai , Adbhut Gupta , Loren N. Pfeiffer , Kirk W. Baldwin , Mansour Shayegan

We study the spontaneous breaking of rotational symmetry in the helical surface state of three-dimensional topological insulators due to strong electron-electron interactions, focusing on time-reversal invariant nematic order. Owing to the…

Strongly Correlated Electrons · Physics 2018-01-24 Rex Lundgren , Hennadii Yerzhakov , Joseph Maciejko

Nematic Fermi liquid arises when the system of interacting fermions spontaneously breaks the rotational symmetry while the translational symmetry is preserved. We consider a Nematic Fermi liquid of fermions with two distinct quantum…

Strongly Correlated Electrons · Physics 2015-06-24 Yong Baek Kim , Hae-Young Kee

We investigate experimentally the dynamic phase transition of a two-dimensional active nematic layer interfaced with a passive liquid crystal. Under a temperature ramp that leads to the transition of the passive liquid into a highly…

We rigorously analyze the quantum phase transition between a metallic and an insulating phase in (non solvable) interacting spin chains or one dimensional fermionic systems. In particular, we prove the persistence of Luttinger liquid…

Mathematical Physics · Physics 2014-06-16 F. Bonetto , V. Mastropietro

The possibility is investigated that competition between fluctuations at different symmetry-related ordering wave vectors may affect the quantum phase transition between a fermi liquid and a longitudinal spin density wave state, in…

Strongly Correlated Electrons · Physics 2010-02-22 A. J. Millis

The nematic electronic state and its associated nematic critical fluctuations have emerged as potential candidates for superconducting pairing in various unconventional superconductors. However, in most materials their coexistence with…

Superconductivity · Physics 2019-11-19 P. Reiss , D. Graf , A. A. Haghighirad , W. Knafo , L. Drigo , M. Bristow , A. J. Schofield , A. I. Coldea

We consider a two dimensional model of non-interacting chains of spinless fermions weakly coupled via a small inter-chain hopping and a repulsive inter-chain interaction. The phase diagram of this model has a surprising feature: an abrupt…

Strongly Correlated Electrons · Physics 2015-05-18 Sam T. Carr , Jorge Quintanilla , Joseph J. Betouras

Electronic nematics are exotic states of matter where electronic interactions break a rotational symmetry of the underlying lattice, in analogy to the directional alignment without translational order in nematic liquid crystals.…

Strongly Correlated Electrons · Physics 2017-09-13 F. Ronning , T. Helm , K. Shirer , M. Bachmann , L. Balicas , M. Chan , B. J. Ramshaw , R. D. McDonald , F. F. Balakirev , M. Jaime , E. D. Bauer , P. J. W. Moll

In classes of Weyl semimetals where the symmetry protects nodes with higher than unit charge, the nematic Weyl liquid appears as interactions destroy this underlying symmetry. In the symmetry-broken phase, the multiple-charge nodes are…

Strongly Correlated Electrons · Physics 2023-12-21 Carlos Naya , Tommaso Bertolini , Johan Carlström
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