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The widely used thermal Hartree-Fock (HF) theory is generalized to include the effect of electron correlation while maintaining its quasi-independent-particle framework. An electron-correlated internal energy (or grand potential) is…

统计力学 · 物理学 2024-08-22 So Hirata

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

The experimental observation of half-integer-quantized thermal Hall conductivity in the Kitaev candidate material $\alpha$-RuCl$_3$ has served as smoking-gun signature of non-Abelian anyons through an associated chiral Majorana edge mode.…

Thermal Hall transport has emerged as a powerful probe of neutral quasiparticles and associated gauge fields in insulating materials. Although the emergence of a thermal Hall effect is known to be sensitive to lattice geometry and gauge…

强关联电子 · 物理学 2025-02-18 Masataka Kawano

Chiral conformal field theories are characterized by a ground-state current at finite temperature, that could be observed, e.g. in the edge excitations of the quantum Hall effect. We show that the corresponding thermal conductance is…

介观与纳米尺度物理 · 物理学 2011-07-19 Andrea Cappelli , Marina Huerta , Guillermo R. Zemba

A conceptual difficulty in formulating the density functional theory of the fractional quantum Hall effect is that while in the standard approach the Kohn-Sham orbitals are either fully occupied or unoccupied, the physics of the fractional…

强关联电子 · 物理学 2017-05-12 Jianyun Zhao , Manisha Thakurathi , Manish Jain , Diptiman Sen , J. K. Jain

We develop a description of fermionic superfluids in terms of an effective field theory for the pairing order parameter. Our effective field theory improves on the existing Ginzburg - Landau theory for superfluid Fermi gases in that it is…

量子气体 · 物理学 2015-06-05 S. N. Klimin , J. Tempere , G. Lombardi , J. T. Devreese

We study the finite temperature (FT) effects on integer quantum Hall effect (IQHE) and fractional quantum Hall effect (FQHE) as predicted by the composite fermion model. We find that at $T\neq 0$, universality is lost, as is quantization…

凝聚态物理 · 物理学 2019-08-17 Sudhansu S. Mandal , S. Ramaswamy , V. Ravishankar

The fractional quantum Hall effect remains a captivating area in condensed matter physics, characterized by strongly correlated topological order, which manifests as fractionalized excitations and anyonic statistics. Numerical simulations,…

强关联电子 · 物理学 2025-10-27 Yi Yang , Yayun Hu , Zi-Xiang Hu

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

2+1 dimensional topological insulator described by the Kane-Mele model in the presence of Rashba spin-orbit interaction is considered. The effective action of the external fields coupled to electromagnetic and spin degrees of freedom is…

介观与纳米尺度物理 · 物理学 2013-10-15 Omer F. Dayi , Mahmut Elbistan

We discuss the behavior of theories of fermions coupled to Chern-Simons gauge fields with a non-abelian gauge group in three dimensions and at finite temperature. Using non-perturbative arguments and gauge invariance, and in contradiction…

高能物理 - 理论 · 物理学 2019-08-15 Daniel Cabra , Eduardo Fradkin , Gerardo L. Rossini , Fidel A. Schaposnik

The electromagnetic characteristics of the fractional quantum Hall states are studied by formulating an effective vector-field theory that takes into account projection to the exact Landau levels from the beginning. The effective theory is…

介观与纳米尺度物理 · 物理学 2009-11-07 K. Shizuya

The trace of the heat kernel in a (D+1)-dimensional Euclidean spacetime (integer D > 1) is used to derive the free energy in finite temperature field theory. The spacetime presents a D-dimensional compact space (domain) with a…

高能物理 - 理论 · 物理学 2016-12-12 Yuri V. Gusev

We advance a novel method for the finite-temperature effective action for nonequilibrium quantum fields and find the QED effective action in time-dependent electric fields, where charged pairs evolve out of equilibrium. The imaginary part…

高能物理 - 理论 · 物理学 2014-11-21 Sang Pyo Kim , Hyun Kyu Lee , Yongsung Yoon

Thermal Hall transport has emerged as a valuable tool for probing the fractionalized excitations in chiral quantum spin liquids. Observing quantized thermal Hall response, expected at temperatures below the spectral gap, has been…

强关联电子 · 物理学 2025-07-01 Avijit Maity , Haoyu Guo , Subir Sachdev , Vikram Tripathi

We present a theory of the thermal Hall effect in insulating quantum magnets, where the heat current is totally carried by charge-neutral objects such as magnons and spinons. Two distinct types of thermal Hall responses are identified. For…

强关联电子 · 物理学 2010-07-29 Hosho Katsura , Naoto Nagaosa , Patrick A Lee

The Quantum Hall Effect (QHE) is a prototypical realization of a topological state of matter. It emerges from a subtle interplay between topology, interactions, and disorder. The disorder enables the formation of localized states in the…

介观与纳米尺度物理 · 物理学 2023-09-18 Ron Aharon Melcer , Avigail Gil , Arup-Kumar Paul , Priya Tiwary , Vladimir Umansky , Moty Heiblum , Yuval Oreg , Ady Stern , Erez Berg

We construct effective field theories of the quantum skyrmion Hall effect from matrix Chern-Simons theory for $N$ electrons, corresponding to matrix dimension $N$. We first consider a quantum Hall droplet within finite $N$ matrix…

高能物理 - 理论 · 物理学 2025-08-25 Vinay Patil , Archi Banerjee , Ashley M. Cook

We introduce an effective theory with manifest particle-vortex symmetry for disordered thin films undergoing a magnetic field-tuned superconductor-insulator transition. The theory may enable one to access both the critical properties of the…

强关联电子 · 物理学 2017-01-18 Michael Mulligan