Finite Drude weight for 1D low temperature conductors

Abstract

We apply well established finite temperature Quantum Monte Carlo techniques to one dimensional Bose systems with soft and hardcore constraint, as well as to spinless fermion systems. We give clear and robust numerical evidence that, as expected, no superfluid density for Bosons or Meissner fraction for fermions. is possible at {\em any} non zero temperature in one dimensional interacting Bose or fermi lattice models, whereas a finite Drude weight is generally observed in gapless systems, in partial disagreement to previous expectations.

4 pages, 4 figures

References in corpus (19)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Quantum Monte Carlo with Directed Loops
• Finite-Size Scaling of the Ground State Parameters of the Two-Dimensional Heisenberg Model
• Bosonizing one-dimensional cold atomic gases
• Confinement induced molecules in a 1D Fermi gas
• Finite temperature Drude weight of the one dimensional spin 1/2 Heisenberg model}
• Integrability and ideal conductance at finite temperatures
• Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
• Zero-frequency transport properties of one dimensional spin-1/2 systems
• Poisson versus GOE statistics in integrable and non-integrable quantum hamiltonian
• Evidence for ideal insulating/conducting state in a 1D integrable system
• Conductivity of a clean one-dimensional wire
• On the finite temperature Drude weight of the anisotropic Heisenberg chain
• Low-temperature transport in Heisenberg chains
• Exact Drude weight for the one-dimensional Hubbard model at finite temperatures
• Drude Weight at Finite Temperatures for Some Non-Integrable Quantum Systems in One Dimension
• Transport Properties of One-Dimensional Hubbard Models
• Occupation number and fluctuations in the finite-temperature Bose-Hubbard model
• Quantum Monte Carlo simulation for the conductance of one-dimensional quantum spin systems

Cited by in corpus (30)

• Finite-temperature transport in one-dimensional quantum lattice models
• Diffusion and ballistic transport in one-dimensional quantum systems
• Finite temperature dynamical DMRG and the Drude weight of spin-1/2 chains
• Conservation laws, integrability and transport in one-dimensional quantum systems
• A real-time study of diffusive and ballistic transport in spin-1/2 chains using the adaptive time-dependent density matrix renormalization group method
• Nonequilibrium thermal transport and its relation to linear response
• Reducing the numerical effort of finite-temperature density matrix renormalization group transport calculations
• Spin transport in the XXZ chain at finite temperature and momentum
• The Drude weight of the spin-1/2 XXZ chain: density matrix renormalization group versus exact diagonalization
• The Stochastic Green Function (SGF) algorithm
• Transport properties of the one-dimensional Hubbard model at finite temperature
• Finite-temperature magnetization transport of the one-dimensional anisotropic Heisenberg model
• Transport in a one-dimensional isotropic Heisenberg model at high temperature
• Scaling of electrical and thermal conductivities in an almost integrable chain
• Spin and thermal conductivity of quantum spin ladders
• Hydrodynamic Limit for the Spin Dynamics of the Heisenberg Chain
• Transport and Control in One-Dimensional Systems
• Signatures of integrability in charge and thermal transport in 1D quantum systems
• Proposal for measuring the finite-temperature Drude weight of integrable systems
• Magnetization transport in spin ladders and next-nearest-neighbor chains
• Hubbard-to-Heisenberg crossover (and efficient computation) of Drude weights at low temperatures
• Finite-size effects in transport data from Quantum Monte Carlo simulations
• Drude weight in non solvable quantum spin chains
• Field-dependent spin and heat conductivities of dimerized spin-1/2 chains
• Conductivity in the Heisenberg chain with next to nearest neighbor interaction
• The excitation operator method in the spin dynamics of the one-dimensional XXZ model
• The spin Drude weight of the spin-1/2 $XXZ$ chain: An analytic finite size study
• Boltzmann-type approach to transport in weakly interacting one-dimensional fermionic systems
• Drude weight in hard core Boson systems: possibility of a finite temperature ideal conductor
• Non-integrable fermionic chains near criticality