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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

A one-dimensional, two-channel quantum wire is studied in the effective non-Hermitian Hamiltonian framework. Analytical expressions are derived for the band structure of the isolated wire. Quantum states and transport properties of the wire…

Mesoscale and Nanoscale Physics · Physics 2016-01-27 Amin Tayebi , Vladimir Zelevinsky

In chiral crystals crystalline symmetries can protect multifold fermions, pseudo-relativistic masless quasiparticles that have no high-energy counterparts. Their realization in transition metal monosilicides has exemplified their intriguing…

Mesoscale and Nanoscale Physics · Physics 2024-03-15 Selma Franca , Adolfo G. Grushin

The interplay of interactions and disorder in two-dimensional (2D) electron systems has actively been studied for decades. The paradigmatic approach involves starting with a clean Fermi liquid and perturbing the system with both disorder…

Strongly Correlated Electrons · Physics 2020-12-29 P. A. Nosov , I. S. Burmistrov , S. Raghu

We argue that the gauge-fermion interaction in multiflavour quantum electrodynamics in $(2 + 1)$-dimensions is responsible for non-fermi liquid behaviour in the infrared, in the sense of leading to the existence of a non-trivial (quasi)…

High Energy Physics - Theory · Physics 2009-10-28 I. J. R. Aitchison , N. E. Mavromatos

It is known that many-body correlations qualitatively modify the properties of a one-dimensional metal. However, for a quasi-one-dimensional metal these correlations are suppressed, at least partially. We study conditions under which the…

Strongly Correlated Electrons · Physics 2012-11-15 A. V. Rozhkov

Motivated by conjectures about near-horizon dynamics in quantum gravity, we search for lines of perturbatively accessible fixed points emanating from models of $N$ free fermions. Through two loops we find a new class of models, apart from…

High Energy Physics - Theory · Physics 2024-08-23 Sidan A , Tom Banks

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

One of the key factors that determine the fates of quantum many-body systems in the zero temperature limit is the competition between kinetic energy that delocalizes particles in space and interaction that promotes localization. While one…

Strongly Correlated Electrons · Physics 2015-03-24 Shouvik Sur , Sung-Sik Lee

We present a class of one-dimensional generic spinless fermion lattice Hamiltonians that express quasi-Fermi liquid physics, manifesting both Luttinger and Fermi liquid features due to solely irrelevant interactions. Using infinite matrix…

Strongly Correlated Electrons · Physics 2025-10-28 Joshua D. Baktay , Adrian E. Feiguin , Julian Rincon

We construct models of excitations about a Fermi surface that display calculable deviations from Fermi liquid behavior in the low-energy limit. They arise as a consequence of coupling to a Chern-Simons gauge field, whose fluctations are…

Condensed Matter · Physics 2009-10-22 Chetan Nayak , Frank Wilczek

The concept of a disordered Fermi-liquid fixed point is introduced and used to understand various properties of disordered metals within a unifying framework. Corrections to scaling near this fixed point give what are commonly called…

Statistical Mechanics · Physics 2017-09-27 D. Belitz , T. R. Kirkpatrick

Metallic quantum ferromagnets in the absence of quenched disorder are known to generically undergo a first-order quantum phase transition, avoiding the quantum critical point that had originally been expected. This is due to soft modes in…

Strongly Correlated Electrons · Physics 2026-05-21 D. Belitz , T. R. Kirkpatrick

There are two views of antiferromagnets. The first proceeds from atomic physics, which predicts that atoms with unpaired electrons develop magnetic moments. In a solid, the coupling between moments on nearby ions then yields…

Strongly Correlated Electrons · Physics 2009-10-31 A. Schroder , G. Aeppli , R. Coldea , M. Adams , O. Stockert , H. v. Lohneysen , E. Bucher , R. Ramazashvili , P. Coleman

We consider a Dirac field in 2+1 dimensions with a domain wall like defect in its mass, minimally coupled to a dynamical Abelian vector field. The mass of the fermionic field is assumed to have just one linear domain wall, which is…

High Energy Physics - Theory · Physics 2009-11-07 L. Da Rold , C. D. Fosco , A. Lopez

The cuprate superconductors and certain organic conductors exhibit transport which is qualitatively anisotropic, yet at the same time other properties of these materials strongly suggest the existence of a Fermi surface and low energy…

Condensed Matter · Physics 2009-10-28 S. P. Strong , David G. Clarke

This tutorial article gives an introduction to the methods needed to treat interacting electrons in a quantum wire with a single occupied band. Since one-dimensional Fermions cannot be described in terms of noninteracting quasiparticles,…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Hermann Grabert

A scheme is proposed to construct integer and fractional topological quantum states of fermions in two spatial dimensions. We devise models for such states by coupling wires of non-chiral Luttinger liquids of electrons, that are arranged in…

Strongly Correlated Electrons · Physics 2016-01-05 Titus Neupert , Claudio Chamon , Christopher Mudry , Ronny Thomale

We analyze a general method for the dissipative preparation and stabilization of volume-law entangled states of fermionic and qubit lattice systems in 1D (and higher dimensions for fermions). Our approach requires minimal resources:…

Quantum Physics · Physics 2022-05-02 Andrew Pocklington , Yu-Xin Wang , Yariv Yanay , Aashish A. Clerk

When a macroscopic metallic wire is subject to tensile stress, it necks down smoothly as it elongates. We show that nanowires with radii comparable to the Fermi wavelength display remarkably different behavior. Using concepts from fluid…

Mesoscale and Nanoscale Physics · Physics 2008-07-09 J. Burki , Raymond E. Goldstein , C. A. Stafford