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The effective interaction between composite fermions, set entirely by the Coulomb potential and the underlying electronic Landau level orbitals, can stabilize exotic fractional quantum Hall states. In particular, half-filled Landau levels…

Mesoscale and Nanoscale Physics · Physics 2025-12-29 Ravi Kumar , Tomer Firon , André Haug , Misha Yutushui , Alon Ner Gaon , Kenji Watanabe , Takashi Taniguchi , David F. Mross , Yuval Ronen

Fluctuations of the Chern-Simons gauge field in the composite Fermi liquid description of the half-filled Landau level are pair breaking in all angular momentum channels. For short-range electron-electron interactions these fluctuations are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 N. E. Bonesteel

We study the dual production of helical Abelian gauge fields and chiral fermions through the Chern-Simons (CS) coupling with a pseudo-scalar inflaton in the presence of a chiral anomaly. Through the CS term, the motion of the inflaton…

High Energy Physics - Phenomenology · Physics 2018-12-21 Valerie Domcke , Kyohei Mukaida

The effects of interactions in a 2D electron system in a strong magnetic field of two degenerate Landau levels with opposite spins and at filling factors 1/2 are studied. Using the Chern-Simons gauge transformation, the system is mapped to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Matteo Merlo , Nicodemo Magnoli , Maura Sassetti , Bernhard Kramer

Fractionalization phenomenon of electrons in quantum Hall states is studied in terms of U(1) gauge theory. We focus on the Chern-Simons(CS) fermion description of the quantum Hall effect(QHE) at the filling factor $\nu=p/(2pq\pm 1)$, and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Ikuo Ichinose , Tetstuo Matsui

Composite fermions provide a simple and unified picture to understand a vast amount of phenomenology in the quantum Hall regime. However it has remained challenging to formulate this concept properly within a single Landau level. Recently a…

Strongly Correlated Electrons · Physics 2022-01-25 Ken K. W. Ma , Kun Yang

The Chern-Simons bosonization with U(1)xSU(2) gauge field is applied to 2-D t-J model in the limit t >> J, to study the normal state properties of underdoped cuprate superconductors. We prove the existence of an upper bound on the partition…

Strongly Correlated Electrons · Physics 2009-10-31 P. A. Marchetti , Zhao-Bin Su , Lu Yu

We study fractional quantum Hall states in double layer systems that can be interpreted as exciton condensates of composite fermions. An electron in one layer is dressed by two fluxes from the same layer and two fluxes from the other layer…

Strongly Correlated Electrons · Physics 2025-06-17 Xiang-Jian Hou , Lei Wang , Ying-Hai Wu

We propose a unifying theory for both the integral and fractional quantum Hall regimes. This theory reconciles the Finkelstein approach to localization and interaction effects with the topological issues of an instanton vacuum and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. M. M. Pruisken , M. A. Baranov , B. Skoric

We present a model of inflation based on the interaction between a homogeneous and isotropic configuration of a U(1) gauge field and fermionic charge density $\mathcal{J}_{0}$. The regulated fermionic charge density is generated from a…

High Energy Physics - Theory · Physics 2013-05-28 Stephon Alexander , Antonino Marciano , David Spergel

An improved composite-boson theory of quantum Hall ferromagnets is formulated both for the monolayer and bilayer systems. In this scheme the field operator describes solely the physical degrees of freedom representing the deviation from the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Z. F. Ezawa

We calculate the effect of infrared fluctuations of the Chern-Simons gauge field on the single-particle Green's function of composite fermions in the half-filled Landau level via higher-dimensional bosonization on a curved Fermi surface. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Peter Kopietz , Guillermo E. Castilla

We study spin-$\frac{1}{2}$ fermions coupled to $\mathbb{Z}_2$ gauge fields on a lattice. We show how a spatial modulation of the fermion hopping allows for the realization of various obstructed atomic insulators that host higher-order band…

Strongly Correlated Electrons · Physics 2023-07-12 Bhandaru Phani Parasar , Vijay B. Shenoy

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…

High Energy Physics - Theory · Physics 2019-08-15 Daniel Cabra , Eduardo Fradkin , Gerardo L. Rossini , Fidel A. Schaposnik

Mechanism of the particle-flux separation in the Chern-Simons gauge theory coupled with nonrelativistic fermions is studied in a nonperturbative method. This problem is very important for the composite fermion approach to the fractional…

Condensed Matter · Physics 2009-10-28 I. Ichinose , T. Matsui

A new type of gauge fixing of the Coulomb gauge domain wall fermion system that reduces the fluctuation of the effective running coupling and the effective mass of arbitrary momentum direction including the region outside the cylinder cut…

High Energy Physics - Lattice · Physics 2009-11-10 Sadataka Furui

We propose a generalized composite fermion (CF) theory for fractional Chern insulators (FCIs) by adapting the quantum mechanics approach of CFs. The theoretical framework naturally produces an effective CF Hamiltonian and a wavefunction…

Strongly Correlated Electrons · Physics 2025-09-12 Hao Jin , Junren Shi

The topological nature of Weyl semimetals (WSMs) is corroborated by the presence of chiral surface states, which connect the projections of the bulk Weyl points by Fermi arcs (FAs). We study a bilayer structure realized by introducing a…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Paolo Michetti , Carsten Timm

In several two-dimensional films that exhibit a magnetic field-tuned superconductor to insulator transition (SIT), stable metallic phases have been observed. Building on the `dirty boson' description of the SIT, we suggest that the metallic…

Strongly Correlated Electrons · Physics 2016-05-18 Michael Mulligan , S. Raghu

We derive the effective Hamiltonian for the composite fermion in double-layer quantum Hall systems with inter-layer tunneling at total Landau-level filling factor $\nu=1/m$, where $m$ is an integer. We find that the ground state is the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Takao Morinari