Quantum Monte Carlo simulation for the conductance of one-dimensional quantum spin systems

Abstract

Recently, the stochastic series expansion (SSE) has been proposed as a powerful MC-method, which allows simulations at low $T$ for quantum-spin systems. We show that the SSE allows to compute the magnetic conductance for various one-dimensional spin systems without further approximations. We consider various modifications of the anisotropic Heisenberg chain. We recover the Kane-Fisher scaling for one impurity in a Luttinger-liquid and study the influence of non-interacting leads for the conductance of an interacting system.

8 pages, 9 figures

References in corpus (29)

• Bosonization and Strongly Correlated Systems
• Quantum Monte Carlo with Directed Loops
• Stochastic series expansion method with operator-loop update
• Landauer Conductance of Luttinger Liquids with Leads
• Transport and conservation laws
• Transport in an inhomogeneous interacting one--dimensional system
• Susceptibility of the Spin 1/2 Heisenberg Antiferromagnetic Chain
• Exact Conductance through Point Contacts in the $\nu =1/3$ Fractional Quantum Hall Effect
• Integrability and ideal conductance at finite temperatures
• Resonant Tunneling Between Quantum Hall Edge States
• Time-dependent density-matrix renormalization group: A systematic method for the study of quantum many-body systems out-of-equilibrium
• Evidence for ideal insulating/conducting state in a 1D integrable system
• Accessing the dynamics of large many-particle systems using Stochastic Series Expansion
• Low-temperature transport in Heisenberg chains
• Thermal transport in one-dimensional spin gap systems
• Comment on "Time-Dependent Density-Matrix Renormalization Group: A Systematic Method for the Study of Quantum Many-Body Out-of- Equilibrium Systems"
• Conductance anomalies in a one-dimensional quantum contact
• The conductance of interacting nano-wires
• Conductance through a One-Dimensional Correlated System: Relation to Persistent Currents and Role of the Contacts
• Diverging magnetothermal response in the one-dimensional Heisenberg chain
• Transport through a finite Hubbard chain connected to reservoirs
• Low-temperature nonequilibrium transport in a Luttinger liquid
• Impurity in a Luttinger liquid: a numerical study of the finite size energy spectrum and of the orthogonality catastrophe exponent
• Response to ``Comment on `time-dependent density-matrix renormalization group: a systematic method for the study of quantum many-body out-of-equilibrium systems''' by H. G. Luo, T. Xiang, and X. Q. Wang
• Conductivity of quantum-spin chains: A Quantum Monte Carlo approach
• Orthogonality catastrophe in a one-dimensional system of correlated electrons
• Dynamical simulation of transport in one-dimensional quantum wires
• Current bistability and hysteresis in strongly correlated quantum wires
• Existence of Low-Temperature Critical Regime in 1D Luttinger Liquid with a Weak Link

Cited by in corpus (14)

• DMRG evaluation of the Kubo formula -- Conductance of strongly interacting quantum systems
• Critical entanglement of XXZ Heisenberg chains with defects
• Stochastic Cluster Series expansion for quantum spin systems
• Thermomagnetic Power and Figure of Merit for Spin-1/2 Heisenberg Chain
• Finite Drude weight for 1D low temperature conductors
• Ferromagnetic Spin Coupling as the Origin of 0.7 Anomaly in Quantum Point Contacts
• Residual conductance of correlated one-dimensional nanosystems: A numerical approach
• Length-Dependent Conductance of a Spin-Incoherent Hubbard chain; Monte Carlo Calculations
• Conductance in inhomogeneous quantum wires: Luttinger liquid predictions and quantum Monte Carlo results
• Spin Conductance in one-dimensional Spin-Phonon systems
• Quantum Monte Carlo simulation for the spin-drag conductance of the Hubbard model
• Thermal and optical conductivity in the Holstein model at half filling and at finite temperature in the Luttinger-liquid and charge-density-wave regime
• Conductance of Quantum Impurity Models from Quantum Monte Carlo
• Embedding method for the scattering phase in strongly correlated quantum dots