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We derive an effective field theory for the isotropic-nematic quantum phase transition of fractional quantum Hall (FQH) states. We demonstrate that for a system with an isotropic background the low-energy effective theory of the nematic…

强关联电子 · 物理学 2015-01-07 Yizhi You , Gil Young Cho , Eduardo Fradkin

We construct an effective field theory, a two-dimensional two-component metallic system described by a model with two Fermi surfaces ("pockets"). This model describes a translationally invariant metallic system with two types of fermions,…

强关联电子 · 物理学 2017-07-11 Victor Chua , Wathid Assawasunthonnet , Eduardo Fradkin

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…

强关联电子 · 物理学 2016-05-04 Yizhi You , Gil Young Cho , Eduardo Fradkin

We derive low-energy effective field theories for the quantum anomalous Hall and topological superconducting phases. The quantum Hall phase is realized in terms of free fermions with nonrelativistic dispersion relation, possessing a global…

强关联电子 · 物理学 2022-11-07 M. Gomes , Pedro R. S. Gomes , K. Raimundo , Rodrigo Corso B. Santos , A. J. da Silva

We propose a (4+1) dimensional Chern-Simons field theoretical description of the fractional quantum Hall effect. It suggests that composite fermions reside on a momentum manifold with a nonzero Chern number. Based on derivations from…

强关联电子 · 物理学 2017-05-23 Junren Shi

We review the construction of a low-energy effective field theory and its state space for "abelian" quantum Hall fluids. The scaling limit of the incompressible fluid is described by a Chern-Simons theory in 2+1 dimensions on a manifold…

介观与纳米尺度物理 · 物理学 2012-03-05 Samuel Bieri , Juerg Froehlich

Motivated by the observation of the fractional quantum Hall effect in graphene, we consider the effective field theory of relativistic quantum Hall states. We find that, beside the Chern-Simons term, the effective action also contains a…

介观与纳米尺度物理 · 物理学 2015-02-06 Siavash Golkar , Matthew M. Roberts , Dam Thanh Son

Unlike an earlier theory, by avoiding both the electromagnetic gauge field shift and the assumption of the zero average of electromagnetic field fluctuation the fermion Chern-Simons gauge theory is reformulated to obtain mean field…

凝聚态物理 · 物理学 2007-05-23 Tae-Hyoung Gimm , Sung-Ho Suck Salk

We develop a theory for the pseudorelativistic fractional quantum Hall effect in graphene, which is based on a multicomponent abelian Chern-Simons theory in the fermionic functional integral approach. Calculations are performed in the…

介观与纳米尺度物理 · 物理学 2018-03-21 Christian Fräßdorf

There has been a recent surge of interest in dualities relating theories of Chern-Simons gauge fields coupled to either bosons or fermions within the condensed matter community, particularly in the context of topological insulators and the…

强关联电子 · 物理学 2018-03-02 Aaron Hui , Michael Mulligan , Eun-Ah Kim

In this letter, we analyze the topological response of a fermionic model defined on the Lieb lattice in presence of an electromagnetic field. The tight-binding model is built in terms of three species of spinless fermions and supports a…

强关联电子 · 物理学 2018-02-23 N. Menezes , C. Morais Smith , Giandomenico Palumbo

Transport measurements on two dimensional electron systems in moderate magnetic fields suggest the existence of a spontaneously orientationally-ordered, compressible liquid state. We develop and analyze a microscopic theory of such a…

介观与纳米尺度物理 · 物理学 2009-11-07 Leo Radzihovsky , Alan T. Dorsey

A Self Consistent Field Theory description of equilibrium, but non uniform, configurations adopted by semi flexible liquid crystal molecules is presented. Two cases are considered, isotropic-nematic phase boundaries, and topological defects…

软凝聚态物质 · 物理学 2025-03-03 Longyu Qing , Jorge Viñals

The quantum Hall effect and the quantum anomalous Hall effect both require time-reversal invariance to be broken. We show that non-equilibrium effects can cause Hall physics to arise even when the system is weakly time-reversal symmetric…

介观与纳米尺度物理 · 物理学 2026-03-13 Alexander Fagerlund , Christopher Ekman , Rodrigo Arouca

An effective field theory for clean electron systems is developed in analogy to the generalized nonlinear sigma-model for disordered interacting electrons. The physical goal is to separate the soft or massless electronic degrees of freedom…

强关联电子 · 物理学 2013-10-01 D. Belitz , T. R. Kirkpatrick

A finite-temperature effective free energy of the boundary of a quantized thermal Hall system is derived microscopically from the bulk two-dimensional Dirac fermion coupled with a gravitational field. In two spatial dimensions, the thermal…

介观与纳米尺度物理 · 物理学 2016-02-17 Ryota Nakai , Shinsei Ryu , Kentaro Nomura

Four-Fermi quantum field theories in (2+1) dimensions lie among the simplest models in high-energy physics, the understanding of which requires a non-perturbative lattice formulation addressing their strongly-coupled fixed points. These…

量子气体 · 物理学 2022-09-19 L. Ziegler , E. Tirrito , M. Lewenstein , S. Hands , A. Bermudez

We propose an effective field theory (EFT) of fractional quantum Hall systems near the filling fraction $\nu=5/2$ that flows to pertinent IR candidate phases, including non-abelian Pfaffian, anti-Pfaffian, and particle-hole Pfaffian states…

强关联电子 · 物理学 2020-11-17 Po-Shen Hsin , Ying-Hsuan Lin , Natalie M. Paquette , Juven Wang

For S=1 system with general isotropic nearest-neighbor exchange, we derive the low-energy description of the spin nematic phase in terms of the RP^{2} nonlinear sigma-model. In one dimension, quantum fluctuations destroy long-range nematic…

强关联电子 · 物理学 2008-04-22 Boris A. Ivanov , Alexei K. Kolezhuk

We show that when the electron and hole densities are unbalanced, observable nonlinear anomalous Hall effect and current-induced orbital magnetization appear at zero magnetic field in the weak charge ordering (CO) state of an organic…

强关联电子 · 物理学 2020-10-21 Toshihito Osada , Andhika Kiswandhi
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