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Spin transport properties of the quantum one-dimensional non-linear sigma model are studied based upon the Bethe ansatz exact solution for the O(3) sigma model and the 1/N-expansion approach for the O(N) sigma model. It is shown that the…

Strongly Correlated Electrons · Physics 2009-10-31 Satoshi Fujimoto

We consider isotropic $XY$ spin chains whose magnetic potentials are quasiperiodic and the effective one-particle Hamiltonians have absolutely continuous spectra. For a wide class of such $XY$ spin chains, we obtain lower bounds on their…

Mathematical Physics · Physics 2016-07-20 Ilya Kachkovskiy

In (1+1)-dimensional quantum field theory, integrability is typically defined as the existence of an infinite number of local charges of different Lorentz spin, which commute with the Hamiltonian. A well known consequence of integrability…

Statistical Mechanics · Physics 2018-09-26 Axel Cortés Cubero

Anomalous KPZ spin transport is well established in integrable non-Abelian lattice models but has not been investigated in continuum field theories as discretization in numerics generally break the continuum theory's integrability. We show…

Statistical Mechanics · Physics 2026-01-28 Matija Koterle , Tomaz Prosen , Tianci Zhou

We present a theory of magnetotransport through an electronic orbital, where the electron spin interacts with a (sufficiently) large external spin via an exchange interaction. Using a semiclassical approximation, we derive a set of…

Mesoscale and Nanoscale Physics · Physics 2014-10-22 Klemens Mosshammer , Tobias Brandes

The spin-1/2 Heisenberg XXZ chain is a paradigmatic quantum integrable model. Although it can be solved exactly via Bethe ansatz techniques, there are still open issues regarding the spectrum at root of unity values of the anisotropy. We…

Statistical Mechanics · Physics 2021-09-22 Yuan Miao , Jules Lamers , Vincent Pasquier

The free energy and correlation lengths of the spin-1/2 $XYZ$ chain are studied at finite temperature. We use the quantum transfer matrix approach and derive non-linear integral equations for all eigenvalues. Analytic results are presented…

Condensed Matter · Physics 2009-10-22 Andreas Klümper

The spin transport in isotropic Heisenberg model in the sector with zero magnetization is generically super-diffusive. Despite that, we here demonstrate that for a specific set of domain-wall-like initial product states it can instead be…

Strongly Correlated Electrons · Physics 2017-11-08 Marko Ljubotina , Marko Znidaric , Tomaz Prosen

Integrable spin chains with a continuous non-Abelian symmetry, such as the one-dimensional isotropic Heisenberg model, show superdiffusive transport with little theoretical understanding. Although recent studies reported a surprising…

The manner in which spin-polarized electrons interact with a magnetized thin film is currently described by a semi-classical approach. This in turn provides our present understanding of the spin transfer, or spin torque phenomenon. However,…

Mesoscale and Nanoscale Physics · Physics 2008-04-17 Wonkee Kim , L. Covaci , F. Dogan , F. Marsiglio

We study a chaotic quantum transport in the presence of a weak spin-orbit interaction. Our theory covers the whole symmetry crossover regime between time-reversal invariant systems with and without a spin-orbit interaction. This situation…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Keiji Saito , Taro Nagao

We consider the open XXZ quantum spin chain with nondiagonal boundary terms. For bulk anisotropy value \eta = i \pi/(p+1), p= 1, 2, ..., we propose an exact (p+1)-order functional relation for the transfer matrix, which implies…

High Energy Physics - Theory · Physics 2009-11-07 Rafael I. Nepomechie

Transport of spherical Brownian particles of finite size possessing radii through narrow channels with varying cross-section area is considered. Applying the so-called Fick-Jacobs approximation, i.e. assuming fast equilibration in…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Wolfgang Riefler , Gerhard Schmid , P Sekhar Burada , Peter Hanggi

We review recent progress in understanding the notion of locality in integrable quantum lattice systems. The central concept are the so-called quasilocal conserved quantities, which go beyond the standard perception of locality. Two…

Statistical Mechanics · Physics 2016-10-24 Enej Ilievski , Marko Medenjak , Tomaz Prosen , Lenart Zadnik

Understanding possible mechanisms, which can lead to suppression of helical edge transport in Quantum Spin Hall (QSH) systems, attracted huge attention right after the first experiments revealing the fragility of the ballistic conductance.…

Mesoscale and Nanoscale Physics · Physics 2022-03-09 Oleg M. Yevtushenko , Vladimir I. Yudson

We investigate emergent quantum dynamics of the tilted Ising chain in the regime of a weak transverse field. Within the leading order perturbation theory, the Hilbert space is fragmented into exponentially many decoupled sectors. We find…

Strongly Correlated Electrons · Physics 2022-05-17 Alvise Bastianello , Umberto Borla , Sergej Moroz

In the study of quantum transport, much has been known for dynamics near thermal equilibrium. However, quantum transport far away from equilibrium is much less well understood--the linear response approximation does not hold for physics…

Quantum Gases · Physics 2022-12-07 Jie Zou , Xiaopeng Li

The spin coherent state path integral describing the dynamics of a spin-1/2-system in a magnetic field of arbitrary time-dependence is considered. Defining the path integral as the limit of a Wiener regularized expression, the semiclassical…

Quantum Physics · Physics 2008-11-26 Adrian Alscher , Hermann Grabert

We study the disordered Heisenberg spin chain, which exhibits many body localization at strong disorder, in the weak to moderate disorder regime. A continued fraction calculation of dynamical correlations is devised, using a variational…

Disordered Systems and Neural Networks · Physics 2016-06-22 Ilia Khait , Snir Gazit , Norman Y. Yao , Assa Auerbach

Mesoscopic conductors are electronic systems of sizes in between nano- and micrometers, and often of reduced dimensionality. In the phase-coherent regime at low temperatures, the conductance of these devices is governed by quantum…

Mesoscale and Nanoscale Physics · Physics 2008-03-27 Michael Wimmer , Matthias Scheid , Klaus Richter