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We study the nonequilibrium dynamics of random spin chains that remain integrable (i.e., solvable via Bethe ansatz): because of correlations in the disorder, these systems escape localization and feature ballistically spreading…

Disordered Systems and Neural Networks · Physics 2019-05-22 Utkarsh Agrawal , Sarang Gopalakrishnan , Romain Vasseur

We show that any interacting integrable model possesses a class of initial states for which the leading corrections to ballistic transport are subdiffusive rather than diffusive. These initial states are natural to realize experimentally…

Statistical Mechanics · Physics 2019-04-03 Vir B. Bulchandani , Christoph Karrasch

The hydrodynamic transport of local conserved densities furnishes an effective coarse-grained description of the dynamics of a many-body quantum system. However, the full quantum dynamics contains much more structure beyond the simplified…

Statistical Mechanics · Physics 2024-01-26 Sarang Gopalakrishnan , Alan Morningstar , Romain Vasseur , Vedika Khemani

We introduce a multi-species generalization of the hard-rod gas in which each species has a distinct effective length, and the repulsive scattering shift is set by the smaller of the two colliding rods. We argue that this model shares key…

Strongly Correlated Electrons · Physics 2026-03-03 Andrew Urilyon , Romain Vasseur , Sarang Gopalakrishnan , Jacopo De Nardis

The Heisenberg spin chain is a canonical integrable model. As such, it features stable ballistically propagating quasiparticles, but spin transport is sub-ballistic at any nonzero temperature: an initially localized spin fluctuation spreads…

Statistical Mechanics · Physics 2024-03-15 Sarang Gopalakrishnan , Romain Vasseur

We employ the Keldysh formalism in the quasiclassical approximation to study transport in a diffusive superconductor. The resulting 4x4 transport equations describe the flow of charge and energy as well as the corresponding flow of spin and…

Superconductivity · Physics 2007-05-23 Jan Petter Morten , Arne Brataas , Wolfgang Belzig

We study spin transport in a Hubbard chain with strong, random, on--site potential and with spin--dependent hopping integrals, $t_{\sigma}$. For the the SU(2) symmetric case, $t_{\uparrow} =t_{\downarrow}$, such model exhibits only partial…

Strongly Correlated Electrons · Physics 2019-05-15 M. Sroda , P. Prelovsek , M. Mierzejewski

We study the time evolution of the entanglement entropy of a one-dimensional nonintegrable spin chain, starting from random nonentangled initial pure states. We use exact diagonalization of a nonintegrable quantum Ising chain with…

Quantum Physics · Physics 2013-09-24 Hyungwon Kim , David A. Huse

Spin superfluids enable long-distance spin transport through classical ferromagnets by developing topologically stable magnetic textures. For small spins at low dimensions, however, the topological protection suffers from strong quantum…

Mesoscale and Nanoscale Physics · Physics 2018-10-30 Silas Hoffman , Daniel Loss , Yaroslav Tserkovnyak

This review summarizes recent advances in our understanding of anomalous transport in spin chains, viewed through the lens of integrability. Numerical advances, based on tensor-network methods, have shown that transport in many canonical…

Statistical Mechanics · Physics 2021-08-23 Vir B. Bulchandani , Sarang Gopalakrishnan , Enej Ilievski

We summarize the present status of the theories of spin fluctuations in dealing with the anomalous or non-Fermi liquid behavior and unconventional superconductivity in strongly correlated electron systems around their magnetic instabilities…

Strongly Correlated Electrons · Physics 2007-05-23 Toru Moriya

We study the transport and equilibration properties of a classical Heisenberg chain, whose couplings are random variables drawn from a one-parameter family of power-law distributions. The absence of a scale in the couplings makes the system…

Statistical Mechanics · Physics 2023-10-09 Adam J. McRoberts , Federico Balducci , Roderich Moessner , Antonello Scardicchio

Ballistic spin transport is studied through electronic tuners with double stubs attached to them. The spins precess due to the spin-orbit interaction. Injected polarized spins can exit the structure polarized in the opposite direction. A…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 X. F. Wang , P. Vasilopoulos , F. M. Peeters

Strongly correlated materials are expected to feature unconventional transport properties, such that charge, spin, and heat conduction are potentially independent probes of the dynamics. In contrast to charge transport, the measurement of…

This paper analyzes theoretically the signal propagation in spin transport by modulating the current passing through magnetic multilayers. Using a macroscopic description of spin transport based on the dynamical Boltzmann equation, we show…

Other Condensed Matter · Physics 2009-11-13 Yao-Hui Zhu , Burkard Hillebrands , Hans Christian Schneider

We derive a drift-diffusion equation for spin polarization in semiconductors by consistently taking into account electric-field effects and nondegenerate electron statistics. We identify a high-field diffusive regime which has no analogue…

Materials Science · Physics 2009-11-07 Z. G. Yu , M. E. Flatte

A common wisdom posits that transports of conserved quantities across clean nonintegrable quantum systems at high temperatures are diffusive when probed from the emergent hydrodynamic regime. We show that this empirical paradigm may alter…

Strongly Correlated Electrons · Physics 2024-09-20 Chun Chen , Yan Chen , Xiaoqun Wang

Spin chains have been proposed as quantum wires in many quantum information processing architectures. Coherent transmission of quantum information over short distances is enabled by their internal dynamics, which drives the transport of…

Quantum Physics · Physics 2012-01-17 Paola Cappellaro , Lorenza Viola , Chandrasekhar Ramanathan

The drift-diffusion formalism for spin-polarized carrier transport in semiconductors is generalized to include spin-orbit coupling. The theory is applied to treat the extrinsic spin Hall effect using realistic boundary conditions. It is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Wang-Kong Tse , J. Fabian , I. Zutic , S. Das Sarma

Spin dependent transport in a ferromagnet/superconductor/ferromagnet single electron transistor is studied theoretically with spin accumulation, spin relaxation, gap suppression, and charging effects taken into account. A strong dependence…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. Johansson , V. Korenivski , D. B. Haviland , A. Brataas