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Full quantum-mechanical description of electrons moving in 3D structures with unidirectional periodic modulation subject to tilted magnetic fields requires an extensive numerical calculation. To understand magneto-oscillations in such…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. A. Goncharuk , L. Smrcka , J. Kucera , K. Vyborny

We develop a new method for bosonizing the Fermi surface based on the formalism of the coadjoint orbits. This allows one to parametrize the Fermi surface by a bosonic field that depends on the spacetime coordinates and on the position on…

Strongly Correlated Electrons · Physics 2022-08-31 Luca V. Delacretaz , Yi-Hsien Du , Umang Mehta , Dam Thanh Son

The quasi-static transverse conductivity of clean Fermi liquids at long wavelengths displays a remarkably universal behaviour: it is determined solely by the radius of curvature of the Fermi surface and does not depend on details such as…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 Mark Morgenthaler , Inti Sodemann Villadiego

We argue that the static non-linear Hall conductivity can always be represented as a vector in two-dimensions and as a pseudo-tensor in three-dimensions independent of its microscopic origin. In a single band model with a constant…

Mesoscale and Nanoscale Physics · Physics 2019-12-05 Snehasish Nandy , Inti Sodemann

We consider a perturbed version of a very simple and exactly solvable model that supports Fermi arcs and pseudogap in its ground state and excitation spectrum, which includes Hubbard-like interactions in both momentum and real spaces. We…

Strongly Correlated Electrons · Physics 2023-08-01 Ruojun Wang , Kun Yang

We study Friedel oscillations and screening effects of the impurity potential in the Hubbard model. Electronic correlations are accounted for by solving the real-space dynamical mean-field theory equations using the continuous time quantum…

Strongly Correlated Electrons · Physics 2019-09-18 B. Chatterjee , J. Skolimowski , K. Makuch , K. Byczuk

Using the bosonization approach we study fermionic systems with a nonlinear dispersion relation in dimension d>2. We explicitly show how the band curvature gives rise to interaction terms in the bosonic version of the model. Although these…

Strongly Correlated Electrons · Physics 2009-11-07 Daniel G. Barci , Luis E. Oxman

The behavior of strongly interacting electrons in bands with Berry curvature is a problem of wide interest. In this paper, we study this problem by numerically studying a fluxed Hubbard-type model on square lattice. Using this model, we…

Strongly Correlated Electrons · Physics 2025-03-04 Shuai Yang , Zhiyu Dong , Yan Chen

The canonical commutation relations in quantum mechanics are not maintained in the anomalous Hall effect described by Berry's phase in the presence of the electromagnetic vector potential. To define quantum mechanical formulation, one may…

Strongly Correlated Electrons · Physics 2023-10-04 Kazuo Fujikawa , Koichiro Umetsu

We explore emergent geometry of the spacetime at the microscopic scale by adiabatic transport of a quasi-coherent state of a fermionic string, with quantum spacetime described by the matrix theory (BFSS matrix model). We show that the…

General Relativity and Quantum Cosmology · Physics 2021-12-10 David Viennot

Electron-electron interactions can induce Fermi surface deformations which break the point-group symmetry of the lattice structure of the system. In the vicinity of such a "Pomeranchuk instability" the Fermi surface is easily deformed by…

Strongly Correlated Electrons · Physics 2009-11-10 W. Metzner , D. Rohe , S. Andergassen

Collective modes in two-dimensional electron fluids show an interesting response to a background carrier flow. Surface plasmons propagating on top of a flowing Fermi liquid acquire a non-reciprocal character manifest in a $\pm k$ asymmetry…

Mesoscale and Nanoscale Physics · Physics 2020-01-01 Haoyang Gao , Zhiyu Dong , Leonid Levitov

In solid state conductors, linear response to a steady electric field is normally dominated by Bloch state occupation number changes that are correlated with group velocity and lead to a steady state current. However, for a number of…

Mesoscale and Nanoscale Physics · Physics 2017-07-12 Dimitrie Culcer , Akihiko Sekine , Allan H. MacDonald

We consider a system with spin-orbit coupling and derive equations of motion which include the effects of Berry curvatures. We apply these equations to investigate the dynamics of particles with equal Rashba-Dresselhaus spin-orbit coupling…

Quantum Gases · Physics 2017-04-19 J. Armaitis , J. Ruseckas , E. Anisimovas

For decades, ``geometry" in band theory has largely meant Berry phase and Berry curvature-quantities that reshape semiclassical dynamics and underpin modern topological matter. Yet the full geometric content of a Bloch band is richer and…

Materials Science · Physics 2026-01-01 Bohm-Jung Yang

Quantum geometry - the geometry of electron Bloch wavefunctions - is central to modern condensed matter physics. Due to the quantum nature, quantum geometry has two parts, the real part quantum metric and the imaginary part Berry curvature.…

The Hall effect, ever intriguing since its discovery, has spurred the exploration of its phenomena, intensified by advances in topology and novel materials. Differentiating the ordinary Hall effect from extraordinary properties like the…

Materials Science · Physics 2025-09-23 ShengNan Zhang , Zhihao Liu , Hanqi Pi , Zhong Fang , Hongming Weng , QuanSheng Wu

The electronic band structure of bulk ferromagnetic iron is explored by angle-resolved photoemission for electron correlation effects. Fermi surface cross-sections as well as band maps are contrasted with density functional calculations.…

Strongly Correlated Electrons · Physics 2015-06-24 J. Schaefer , M. Hoinkis , Eli Rotenberg , P. Blaha , R. Claessen

We demonstrate that an anisotropic and rotated Fermi surface can generate a finite transverse response in electron transport, even in the absence of a magnetic field or Berry curvature. Using a two-dimensional continuum model, we show that…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 Abhiram Soori

Spontaneous symmetry breaking is central to the description of interacting phases of matter. Here we reveal a new mechanism through which a driven interacting system subject to a time-reversal symmetric driving field can spontaneously…

Mesoscale and Nanoscale Physics · Physics 2020-12-09 Mark S. Rudner , Justin C. W. Song