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Fermions localized within vortex cores can form one-dimensional Fermi liquids. The nonzero density of states in these Fermi-liquids can lead to instability of the symmetric structure of the vortex core. We consider a symmetry breaking which…

Condensed Matter · Physics 2007-05-23 Yu. G. Makhlin , G. E. Volovik

Electronic nematic order has been reported in a rich landscape of materials, encompassing not only a range of intertwined correlated and topological phenomena, but also different underlying lattice symmetries. Motivated by these findings,…

Strongly Correlated Electrons · Physics 2025-09-15 Matthias Hecker , Anant Rastogi , Daniel F. Agterberg , Rafael M. Fernandes

The two dimensional electron gas (2DEG) in moderate magnetic fields in ultra-clean AlAs-GaAs heterojunctions exhibits transport anomalies suggestive of a compressible, anisotropic metallic state. Using scaling arguments and Monte Carlo…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eduardo Fradkin , Steven A. Kivelson , Efstratios Manousakis , Kwangsik Nho

Engineering new quantum phases requires fine tuning of the electronic, orbital, spin, and lattice degrees of freedom. To this end, the kagome lattice with flat bands has garnered great attention by hosting various topological and correlated…

Systems with itinerant fermions close to a zero temperature quantum phase transition like the high temperature superconductors exhibit unusual non-Fermi liquid properties. The interaction of the long-range and low-energy fluctuations of the…

Strongly Correlated Electrons · Physics 2007-05-23 Hartmut Monien

We introduce a family of two-dimensional lattice models of quasicrystals, using a range of square hard cores together with a soft interaction based on an aperiodic tiling set. Along a low temperature isotherm we find, by Monte Carlo…

Statistical Mechanics · Physics 2015-05-27 David Aristoff , Charles Radin

We identify ground states of one-dimensional fermionic systems subject to competing repulsive interactions of finite range, and provide phenomenological and fundamental signatures of these phases and their transitions. Commensurable…

Strongly Correlated Electrons · Physics 2018-08-23 Marcin Szyniszewski , Henning Schomerus

The signature for a non-Fermi liquid behavior near a quantum phase transition has been observed in thermal and transport properties of many metallic systems at low temperatures. In the present work we consider specific examples of itinerant…

Strongly Correlated Electrons · Physics 2009-10-30 Suresh G. Mishra , P. A. Sreeram

We show that in order to describe the isotropic-nematic transition in stripe forming systems with isotropic competing interactions of the Brazovskii class it is necessary to consider the next to leading order in a 1/N approximation for the…

Strongly Correlated Electrons · Physics 2014-06-03 Daniel G. Barci , Alejandro Mendoza-Coto , Daniel A. Stariolo

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 study phase transition behavior of the Heisenberg model on a distorted triangular lattice with competing interactions. The ground-state phase diagram indicates that underlying symmetry can be changed by tuning parameters. We focus on two…

Statistical Mechanics · Physics 2013-07-16 Ryo Tamura , Shu Tanaka , Naoki Kawashima

Critical behavior of the two-dimensional generalized $XY$ model involving solely nematic-like terms of the second, third and fourth orders is studied by Monte Carlo method. We find that such a system can undergo three successive phase…

Statistical Mechanics · Physics 2018-12-24 Milan Žukovič

The low-temperature kinetics of the strongly correlated electron liquid inhabiting a solid is analyzed. It is demonstrated that a softly damped branch of transverse zero sound emerges when several bands cross the Fermi surface…

Strongly Correlated Electrons · Physics 2010-10-22 V. A. Khodel , J. W. Clark , M. V. Zverev

Recent experimental realization of dipolar Fermi gases near or below quantum degeneracy provides opportunity to engineer Hubbard-like models with long range interactions. Motivated by these experiments, we chart out the theoretical phase…

Quantum Gases · Physics 2012-04-10 S. G. Bhongale , L. Mathey , Shan-Wen Tsai , Charles W. Clark , Erhai Zhao

The operation mechanism of nematic liquid crystals lies in the control of their optical properties by the orientation of underlying nematic directors. In analogy, electronic nematicity refers to a state whose electronic properties…

Strongly Correlated Electrons · Physics 2025-07-09 Zili Feng , Weihang Lu , Tao Lu , Fangyan Liu , Joseph R. Sheeran , Mengxing Ye , Jing Xia , Takashi Kurumaji , Linda Ye

We study a system involving a single quantum degree of freedom per site of the lattice interacting with a few neighbors (up to second neighbors), with the interactions chosen as to produce frustration. At zero temperature, this system…

Statistical Mechanics · Physics 2021-09-29 Heitor Casasola , Carlos A. Hernaski , Pedro R. S. Gomes , Paula F. Bienzobaz

The crystallographic restriction theorem constrains two-dimensional nematicity to display either Ising ($Z_{2}$) or three-state-Potts ($Z_{3}$) critical behaviors, both of which are dominated by amplitude fluctuations. Here, we use group…

Strongly Correlated Electrons · Physics 2025-09-15 Virginia Gali , Matthias Hecker , Rafael M. Fernandes

We examine the phase diagram of a simple-cubic optical lattice half-filled by two species of fermionic atoms with a repulsive s-wave contact interaction. We use the Hartree approximation in the regime of weaker interactions, and a Hubbard…

Strongly Correlated Electrons · Physics 2009-08-25 C. J. M. Mathy , D. A. Huse

Strange-metal phenomena often develop at the border of antiferromagnetic order in strongly correlated metals. It has been well established that they can originate from the fluctuations anchored by the point of continuous quantum phase…

We present experimental evidence for a first-order freezing/melting phase transition in a nonequilibrium system -- an oscillated two-dimensional isobaric granular fluid. The steady-state transition occurs between a gas and a crystal and is…

Soft Condensed Matter · Physics 2007-05-23 M. D. Shattuck