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We employ the Boltzmann transport approach to derive the spontaneous Nernst coefficient for ferromagnetic metals, explicitly treating the transverse current density due to Berry curvature as a Fermi surface property. We find that the…

Materials Science · Physics 2025-08-13 Vittorio Basso , Adriano Di Pietro , Alessandro Sola

Ever since its discovery, the Berry phase has permeated through all branches of physics. Over the last three decades, it was gradually realized that the Berry phase of the electronic wave function can have a profound effect on material…

Mesoscale and Nanoscale Physics · Physics 2010-12-01 Di Xiao , Ming-Che Chang , Qian Niu

Density waves conventionally describe the periodic modulation of charge or spin, yet the spatial modulation of electronic geometry has remained elusive. Here, we report subtle micrometer-scale spatial modulations of the magneto-optical Kerr…

Strongly Correlated Electrons · Physics 2026-05-05 Weihang Lu , Camron Farhang , Yuchuan Yao , Pratap Pal , Hao Zhang , Shaofeng Han , Shi-Zeng Lin , Chang-Beom Eom , Jing Xia

Electron dynamics in external electric fields governs the behavior of solid-state electronic devices. First-principles calculations enable precise predictions of charge transport in low electric fields. However, studies of high-field…

Materials Science · Physics 2021-09-29 Ivan Maliyov , Jinsoo Park , Marco Bernardi

We describe the charge transport in ferromagnets with spin orbit coupled Bloch bands by combining the wave-packet evolution equations with the classical Boltzmann equation. This approach can be justified in the limit of smooth disorder…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 N. A. Sinitsyn , Qian Niu , Jairo Sinova , K. Nomura

An exactly soluble one-dimensional model of electrons interacting with order parameter fluctations associated with short-range order is considered. The energy and momentum dependence of the electronic self energy and spectral function are…

Condensed Matter · Physics 2009-10-28 Ross H. McKenzie , David Scarratt

Presenting exact solutions for the two dimensional periodic Anderson model with finite and nonzero on-site interaction U>0, we are describing a rigorous non-Fermi liquid phase in normal phase and 2D. This new state emerges in multi-band…

Strongly Correlated Electrons · Physics 2009-11-07 Peter Gurin , Zsolt Gulacsi

For a long period of time, we have been seeking how Berry curvature influnces the transport properties in materials breaking time-reversal symmetry. In time-reversal symmetric material, there will be no thermoelectric current induced by…

Mesoscale and Nanoscale Physics · Physics 2020-12-15 Hongchao Li

Topological properties lie at the heart of many fascinating phenomena in solid state systems such as quantum Hall systems or Chern insulators. The topology can be captured by the distribution of Berry curvature, which describes the geometry…

Quantum Gases · Physics 2016-05-31 N. Fläschner , B. S. Rem , M. Tarnowski , D. Vogel , D. -S. Lühmann , K. Sengstock , C. Weitenberg

Multiple-band nature of electronic energy bands leads to novel physical effects in solids. In this paper, we clarify physical properties of a Fermi system with a pair of electron and hole Fermi surfaces (FSs), whose coupling is mediated by…

Strongly Correlated Electrons · Physics 2021-01-04 Zhiming Pan , Ryuichi Shindou

We study the Fermi level structure of (2+1)-dimensional strongly interacting electron systems in external magnetic field using the AdS/CFT correspondence. The gravity dual of a finite density fermion system is a Dirac field in the…

High Energy Physics - Theory · Physics 2015-06-15 E. Gubankova , J. Brill , M. Cubrovic , K. Schalm , P. Schijven , J. Zaanen

The derivatives of the Berry curvature $\Omega$ and intrinsic orbital magnetic moment m in momentum space are relevant to various problems, including the nonlinear anomalous Hall effect and magneto-transport within the Boltzmann-equation…

Materials Science · Physics 2023-03-22 Xiaoxiong Liu , Stepan S. Tsirkin , Ivo Souza

The dynamics of a single impurity interacting with a many particle background is one of the central problems of condensed matter physics. Recent progress in ultracold atom experiments makes it possible to control this dynamics by coupling…

Quantum Gases · Physics 2015-06-03 F. Nur Ünal , Balázs Hetényi , M. Ö. Oktel

In two-dimensional Fermi liquids (FLs), odd-parity Fermi surface deformations have anomalously slow relaxation rates that are suppressed as $T^4$ with temperature $T$, distinct from the standard FL $T^2$ scaling. We demonstrate here that…

Mesoscale and Nanoscale Physics · Physics 2024-11-19 Johannes Hofmann , Habib Rostami

Transport due to electrons in ultra-clean two dimensional systems can be hydrodynamic in nature with the momentum of the electrons being conserved in the bulk. This hydrodynamic behavior coupled with effects of Berry curvature arising from…

Strongly Correlated Electrons · Physics 2025-11-24 Anubhav Srivastava , Subroto Mukerjee

Motivated by the recent discovery of electron vortex beams carrying orbital angular momentum (AM), we construct exact Bessel-beam solutions of the Dirac equation. They describe relativistic and nonparaxial corrections to the scalar electron…

Quantum Physics · Physics 2011-10-18 Konstantin Y. Bliokh , Mark R. Dennis , Franco Nori

The Berry-phase mediated valley-selected skew scattering in alpha-T3 lattices is demonstrated. The interplay of Lorentz and Berry forces in position and momentum spaces is revealed and analyzed. Many-body screening of the electron-impurity…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Danhong Huang , Andrii Iurov , Hong-Ya Xu , Ying-Cheng Lai , Godfrey Gumbs

Berry's geometric phase naturally appears when a quantum system is driven by an external field whose parameters are slowly and cyclically changed. A variation in the coupling between the system and the external field can also give rise to a…

We discuss the mechanism of anomalous Hall effect related to the contribution of electron states below the Fermi surface (induced by the Berry phase in momentum space). Our main calculations are made within a model of two-dimensional…

Materials Science · Physics 2009-11-11 V. K. Dugaev , P. Bruno , M. Taillefumier , B. Canals , C. Lacroix

We consider the description of a Fermi gas of free electrons given by the Boltzmann--Fermi--Dirac equation, and aim at providing a precise mathematical understanding of the Fermi ground state and its first-order approximation of excited…

Analysis of PDEs · Mathematics 2025-10-14 Benjamin Anwasia , Diogo Arsénio
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