Negative differential conductivity in far-from-equilibrium quantum spin chains

Abstract

We show that, when a finite anisotropic Heisenberg spin-1/2 chain in the gapped regime is driven far from equilibrium, oppositely polarized ferromagnetic domains build up at the edges of the chain, thus suppressing quantum spin transport. As a consequence, a negative differential conductivity regime arises, where increasing the driving decreases the current. The above results are explained in terms of magnon localization and are shown to be structurally stable against breaking of integrability.

5 pages, 4 figures. Published version

References in corpus (14)

• Spintronics: Fundamentals and applications
• Thermal conduction in classical low-dimensional lattices
• Quantum Zeno subspaces
• Third quantization: a general method to solve master equations for quadratic open Fermi systems
• Finite temperature Drude weight of the one dimensional spin 1/2 Heisenberg model}
• Magnetization transport and quantized spin conductance
• Quantum phase transition in a far from equilibrium steady state of XY spin chain
• Transport through anisotropic magnetic molecules with partially ferromagnetic leads: Spin-charge conversion and negative differential conductance
• Strong Evidence of Normal Heat Conduction in a one-Dimensional Quantum System
• Super-poissonian noise, negative differential conductance, and relaxation effects in transport through molecules, quantum dots and nanotubes
• Fourier's Law confirmed for a class of small quantum systems
• Anomalous scaling of conductivity in integrable fermion systems
• Teleportation in a noisy environment: a quantum trajectories approach
• Simulating noisy quantum protocols with quantum trajectories

Cited by in corpus (59)

• Finite-temperature transport in one-dimensional quantum lattice models
• A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
• Exact nonequilibrium steady state of a strongly driven open XXZ chain
• Relaxation times of dissipative many-body quantum systems
• Exact solution of Markovian master equations for quadratic fermi systems: thermal baths, open XY spin chains, and non-equilibrium phase transition
• Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium
• A real-time study of diffusive and ballistic transport in spin-1/2 chains using the adaptive time-dependent density matrix renormalization group method
• Non-equilibrium electronic transport in a one-dimensional Mott insulator
• Beyond mean-field bistability in driven-dissipative lattices: bunching-antibunching transition and quantum simulation
• PT-symmetric quantum Liouvillian dynamics
• Microscopic theory for negative differential mobility in crowded environments
• Perfect diode in quantum spin chains
• The Drude weight of the spin-1/2 XXZ chain: density matrix renormalization group versus exact diagonalization
• High-temperature coherent transport in the XXZ chain in the presence of an impurity
• Nonlinear quantum heat transfer in hybrid structures: Sufficient conditions for thermal rectification
• Real-time energy dynamics in spin-1/2 Heisenberg chains
• Exact matrix product solutions in the Heisenberg picture of an open quantum spin chain
• Finite-temperature magnetization transport of the one-dimensional anisotropic Heisenberg model
• Characterization of qubit chains by Feynman probes
• Lindblad master equation approach to the topological phase transition in the disordered Su-Schrieffer-Heeger model
• Manipulating energy and spin currents in nonequilibrium systems of interacting qubits
• Driven tracer with absolute negative mobility
• Heat current rectification in segmented XXZ chains
• Negative differential response in chemical reactions
• Steady state quantum transport through an anharmonic oscillator strongly coupled to two heat reservoirs
• Lindblad equation approach to the optimal working point in nonequilibrium stationary states of an interacting electronic one-dimensional system: Application to the spinless Hubbard chain in the clean and in the weakly disordered limit
• The fate of high winding number topological phases in the disordered extended Su-Schrieffer-Heeger model
• Dissipatively driven strongly interacting bosons in a gauge field
• Equivalence of transport coefficients in bath-induced and dynamical scenarios
• Boundary-driven Lindblad dynamics of random quantum spin chains : strong disorder approach for the relaxation, the steady state and the current
• Entanglement-enhanced quantum rectification
• Excitation dynamics in chain-mapped environments
• Spin transport through a spin-1/2 XXZ chain contacted to fermionic leads
• Dissipative random quantum spin chain with boundary-driving and bulk-dephasing: magnetization and current statistics in the Non-Equilibrium-Steady-State
• Optimal transport and von Neumann entropy in an Heisenberg XXZ chain out of equilibrium
• Spin rectification in thermally driven XXZ spin chain via the spin-Seebeck effect
• Tuning energy transport using interacting vibrational modes
• Boundary driven Heisenberg-chain in the long-range interacting regime: Robustness against far from equilibrium effects
• Field-dependent spin and heat conductivities of dimerized spin-1/2 chains
• A Nonequilibrium quantum phase transition in strongly coupled spin chains
• Simulating quantum transport via collisional models on a digital quantum computer
• Long-range interaction in an open boundary-driven Heisenberg spin lattice: A far-from-equilibrium transition to ballistic transport
• Giant rectification in segmented, strongly interacting, spin chains despite the presence of perturbations
• Quantum-statistics-induced flow patterns in driven ideal Fermi gases
• Transport and spectral properties of the XX$+$XXZ diode and stability to dephasing
• Minimal motor for powering particle motion from spin imbalance
• Particle and thermal transport through one dimensional topological systems via Lindblad formalism
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Expansion dynamics in a one-dimensional hard-core boson model with three-body interactions
• Fate of dissipative hierarchy of timescales in the presence of unitary dynamics
• Wetting critical behavior in the quantum Ising model within the framework of Lindblad dissipative dynamics
• Out of equilibrium charge transport in molecular electronic devices
• Polaron formation as a genuine nonequilibrium phenomenon
• Efficient quantum information probes of non-equilibrium quantum criticality
• Dephasing enhanced transport in nonequilibrium strongly correlated quantum systems
• Energy current manipulation and reversal of rectification in graded XXZ spin chains
• Thermal transport through a single trapped ion under strong laser illumination
• Charge current and phase diagram of the disordered open longer-range Kitaev chain
• Numerical Study of Disordered Noninteracting Chains Coupled to a Local Lindblad Bath