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We consider spin dynamics in the impurity band of a semiconductor with spin-split spectrum. Due to the splitting, phonon-assisted hops from one impurity to another are accompanied by rotation of the electron spin, which leads to spin…

Disordered Systems and Neural Networks · Physics 2015-06-25 I. S. Lyubinskiy , A. P. Dmitriev , V. Yu. Kachorovskii

We study the ground state quantum spin fluctuations around the N\'eel ordered state for the one-band ($t,U$) Hubbard model on a site-diluted square lattice. An effective spin Hamiltonian, $H_{\rm s}^{(4)}$, is generated using the canonical…

Statistical Mechanics · Physics 2009-06-13 J. -Y. P. Delannoy , A. G. Del Maestro , M. J. P. Gingras , P. C. W. Holdsworth

The infinite U Hubbard model, with exclusion of double occupancy of sites, can be considered as a free orthofermion Hamiltonian which is exactly soluble. It is found that the orthofermion distribution function is similar to the mean number…

Strongly Correlated Electrons · Physics 2009-11-10 R. Kishore , A. K. Mishra

We study high temperature spin transport in a disordered Heisenberg chain in the ergodic regime when bulk dephasing is present. We find that while dephasing always renders the transport diffusive, there is nonetheless a remnant of the…

Disordered Systems and Neural Networks · Physics 2017-07-19 Marko Žnidarič , Juan Jose Mendoza-Arenas , Stephen R. Clark , John Goold

A system of drift-diffusion equations with electric field under Dirichlet boundary conditions is analyzed. The system of strongly coupled parabolic equations for particle density and spin density vector describes the spin-polarized…

Analysis of PDEs · Mathematics 2014-02-26 Nicola Zamponi

We derive the transport equations for two-dimensional electron systems with spin-orbit interaction and short-range spin-independent disorder. In the limit of slow spatial variations of the electron distribution we obtain coupled diffusion…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. G. Mishchenko , A. V. Shytov , B. I. Halperin

We examine the metal-insulator transition in a half-filled Hubbard model of electrons with random and all-to-all hopping and exchange, and an on-site non-random repulsion, the Hubbard $U$. We argue that recent numerical results of Cha et…

Strongly Correlated Electrons · Physics 2020-05-13 Grigory Tarnopolsky , Chenyuan Li , Darshan G. Joshi , Subir Sachdev

Spin accumulation and spin current profiles are calculated for a disordered Pt film subjected to an in-plane electric current within the nonequilibrium Green function approach. In the bulklike region of the sample, this approach captures…

Mesoscale and Nanoscale Physics · Physics 2023-10-31 K. D. Belashchenko , G. G. Baez Flores , W. Fang , A. A. Kovalev , M. van Schilfgaarde , P. M. Haney , M. D. Stiles

This paper presents the boundary conditions needed for drift-diffusion models to treat interfaces with spin-orbit coupling. Using these boundary conditions for heavy metal/ferromagnet bilayers, solutions of the drift-diffusion equations…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 V. P. Amin , M. D. Stiles

The five-band Hubbard model for a $d$ band with one electron per site is a model which has very interesting properties when the relevant ions are located at sites with high (e. g. cubic) symmetry. In that case, if the crystal field…

Strongly Correlated Electrons · Physics 2009-11-10 A. B. Harris , T. Yildirim , A. Aharony , O. Entin-Wohlman , I. Ya. Korenblit

We study the microscopic mechanism controlling the interplay between local charge and local spin fluctuations in correlated electron systems via a thorough investigation of the generalized on-site charge susceptibility of several…

Strongly Correlated Electrons · Physics 2024-02-28 Severino Adler , Friedrich Krien , Patrick Chalupa-Gantner , Giorgio Sangiovanni , Alessandro Toschi

In this paper we discuss a family of models of particle and energy diffusion on a one-dimensional lattice, related to those studied previously in [Sasamoto-Wadati], [Barraquand-Corwin] and [Povolotsky] in the context of KPZ universality…

Mathematical Physics · Physics 2024-05-31 Rouven Frassek , Cristian Giardinà , Jorge Kurchan

Metastable condensed matter typically fluctuates about local energy minima at the femtosecond time scale before transitioning between local minima after nanoseconds or microseconds. This vast scale separation limits the applicability of…

Computational Physics · Physics 2017-11-22 Brittan A Farmer , Mitchell Luskin , Petr Plecháč , Gideon Simpson

We investigate the ground state properties of the two dimensional half-filled one band Hubbard model in the strong (large-U) to intermediate coupling limit ({\it i.e.} away from the strict Heisenberg limit) using an effective spin-only…

Strongly Correlated Electrons · Physics 2007-05-23 J. -Y. P. Delannoy , M. J. P. Gingras , P. C. W. Holdsworth , A. -M. S. Tremblay

We show variationally that instability of the ferromagnetic state in the Hubbard model is largely controlled by softening of a long-wavelength spin-wave excitation, except in the over-doped strong-coupling region where the…

Condensed Matter · Physics 2009-10-30 Takuya Okabe

We introduce a disorder-free model of $S=1/2$ spins on the square lattice in a constrained Hilbert space where two up-spins are not allowed simultaneously on any two neighboring sites of the lattice. The interactions are given by…

Statistical Mechanics · Physics 2023-06-07 Anwesha Chattopadhyay , Bhaskar Mukherjee , K. Sengupta , Arnab Sen

It has been conjectured that transport in integrable one-dimensional (1D) systems is necessarily ballistic. The large diffusive response seen experimentally in nearly ideal realizations of the S=1/2 1D Heisenberg model is therefore puzzling…

Strongly Correlated Electrons · Physics 2010-12-01 J. Sirker , R. G. Pereira , I. Affleck

Motivated by previous works on a Floquet version of the PXP model [Mukherjee {\it et al.} Phys. Rev. B 102, 075123 (2020), Mukherjee {\it et al.} Phys. Rev. B 101, 245107 (2020)], we study a one-dimensional spin-$1/2$ lattice model with…

Strongly Correlated Electrons · Physics 2021-10-12 Bhaskar Mukherjee , Debasish Banerjee , K. Sengupta , Arnab Sen

It is shown that the electron spin may not be conserved after a spin-independent scattering. This fact strongly limits the validity of the classical model of spin-up/spin-down bands, which has been used for description of magnetic…

Materials Science · Physics 2013-04-09 Vadym Zayets

We consider strongly interacting one-dimensional electron liquids where elementary excitations carry either spin or charge. At small temperatures a spinon created at the bottom of its band scatters off low-energy spin- and…

Strongly Correlated Electrons · Physics 2015-06-23 M. -T. Rieder , A. Levchenko , T. Micklitz