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In the tight-binding approximation the Harper like equation describing an electron in 3D crystal subject to a uniform magnetic field is obtained. It is supposed that the vector H can be oriented along several directions in the lattice. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. Ya. Demikhovskii , A. A. Perov , D. V. Khomitsky

The Fermi surface may be usefully viewed as a collection of 1+1 dimensional chiral conformal field theories. This approach permits straightforward calculation of many anomalous ground state properties of the Fermi gas including entanglement…

Strongly Correlated Electrons · Physics 2012-10-03 Brian Swingle

This paper is devoted to topological phenomena in normal metals with rather complicated Fermi surface. The results of the article are based on the deep topological theorems concerning the geometry of non-compact plane sections of level…

Condensed Matter · Physics 2009-10-30 S. P. Novikov , A. Ya. Maltsev

The Fermi surface is an abstract object in the reciprocal space of a crystal lattice, enclosing the set of all those electronic band states that are filled according to the Pauli principle. Its topology is dictated by the underlying lattice…

Strongly Correlated Electrons · Physics 2016-07-20 Mukunda P. Das , Frederick Green

Magnetic skyrmion crystals are topological magnetic textures arising in the chiral ferromagnetic materials with Dzyaloshinskii-Moriya interaction. The magnetostatic fields generated by magnetic skyrmion crystals are first studied by…

Mesoscale and Nanoscale Physics · Physics 2018-06-21 Ren Qin , Yong Wang

The Schr\"odinger Hamiltonian of a spin zero particle as well as the Pauli Hamiltonian with spin-orbit coupling included of a spin one-half particle in electromagnetic fields that are confined to a curved surface embedded in a…

Quantum Physics · Physics 2016-08-24 M. S. Shikakhwa , N. Chair

The electronic properties of graphene under any arbitrary uniaxial strain field are obtained by an exact mapping of the corresponding tight-binding Hamiltonian into an effective one-dimensional modulated chain. For a periodic modulation,…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Gerardo G. Naumis , Pedro Roman-Taboada

We study fermions in two dimensions interacting via a long-ranged 1/r potential for small particle separations and a short-ranged 1/r^3 potential for larger separations in comparison to a length scale \xi. We compute the energy of the…

Strongly Correlated Electrons · Physics 2015-06-12 Benjamin M. Fregoso , C. A. R. Sá de Melo

The paper considers the semiclassical dynamics of electrons on complex Fermi surfaces in the presence of strong magnetic fields. The reconstructions of the general topological structure of such dynamics are accompanied by the appearance of…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 A. Ya. Maltsev

A phenomenological theory is presented for two-dimensional quantum liquids in terms of the Fermi surface geometry. It is shown that there is a one-to-one correspondence between the properties of an interacting electron system and its…

Strongly Correlated Electrons · Physics 2015-06-25 Miklos Gulacsi

We consider the entanglement properties of free fermions in one dimension and review an approach which relates the problem to the solution of a certain differential equation. The single-particle eigenfunctions of the entanglement…

Statistical Mechanics · Physics 2015-06-15 Viktor Eisler , Ingo Peschel

Investigations of the Fermi surface via the electron momentum distribution reconstructed from either angular correlation of annihilation radiation (or Compton scattering) experimental spectra are presented. The basis of these experiments…

Other Condensed Matter · Physics 2017-05-11 G. Kontrym-Sznajd

Magnetic symmetry of possible plane domain walls in arbitrary oriented plates of the crystal of hexoctahedral crystallographic class is considered. The symmetry classification is applied for ferro- and ferrimagnets.

Materials Science · Physics 2012-09-04 B. M. Tanygin , O. V. Tychko

In this paper we present detailed theoretical analysis of the frequency and/or magnetic field dependence of the surface impedance of a metal at the anomalous skin effect. We calculate the surface impedance in the presence of a magnetic…

Materials Science · Physics 2007-05-23 Natalya A. Zimbovskaya

We study the entanglement Hamiltonian for the ground state of one-dimensional free fermions in the presence of an inhomogeneous chemical potential. In particular, we consider a lattice with a linear, as well as a continuum system with a…

Statistical Mechanics · Physics 2024-03-25 Riccarda Bonsignori , Viktor Eisler

The Fermi polaron refers to a system of free fermions interacting with an impurity particle by means of two-body contact forces. Motivated by the physicists' approach to this system, the present article develops a general mathematical…

Mathematical Physics · Physics 2019-04-26 Marcel Griesemer , Ulrich Linden

We construct the Hermitian Schr\"{o}dinger Hamiltonian of spin-less as well as the gauge-covariant Pauli Hamiltonian of spin one-half particles in a magnetic field that are confined to cylindrical and spherical surfaces. The approach does…

Quantum Physics · Physics 2016-11-23 M. S. Shikakhwa , N. Chair

Zero temperature states of matter are holographically described by a spacetime with an asymptotic electric flux. This flux can be sourced either by explicit charged matter fields in the bulk, by an extremal black hole horizon, or by a…

High Energy Physics - Theory · Physics 2015-06-03 Sean A. Hartnoll , Liza Huijse

We consider the electric conductivity in normal metals in presence of a strong magnetic field. It is assumed here that the Fermi surface of a metal has rather complicated form such that different types of quasiclassical electron…

Other Condensed Matter · Physics 2018-08-28 A. Ya. Maltsev

We introduce a general first-principles methodology for computing electronic structure in a finite uniform magnetic field which allows for an arbitrary rational magnetic flux and nonlocal pseudopotentials, at a comparable time complexity of…

Materials Science · Physics 2025-10-07 Chengye Lü , Yingwei Chen , Yuzhi Wang , Zhihao Dai , Zhong Fang , Xin-Gao Gong , Quansheng Wu , Hongjun Xiang
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