Density-matrix renormalization group method for the conductance of one-dimensional correlated systems using the Kubo formula

Abstract

We improve the density-matrix renormalization group (DMRG) evaluation of the Kubo formula for the zero-temperature linear conductance of one-dimensional correlated systems.The dynamical DMRG is used to compute the linear response of a finite system to an applied AC source-drain voltage, then the low-frequency finite-system response is extrapolated to the thermodynamic limit to obtain the DC conductance of an infinite system. The method is demonstrated on the one-dimensional spinless fermion model at half filling. Our method is able to replicate several predictions of the Luttinger liquid theory such as the renormalization of the conductance in an homogeneous conductor, the universal effects of a single barrier, and the resonant tunneling through a double barrier.

published version

References in corpus (12)

• The density-matrix renormalization group in the age of matrix product states
• Spin transport in a one-dimensional anisotropic Heisenberg model
• Real-time simulations of nonequilibrium transport in the single-impurity Anderson model
• Twofold advance in the theoretical understanding of far-from-equilibrium properties of interacting nanostructures
• Spectral Functions with the Density Matrix Renormalization Group: Krylov-space Approach for Correction Vectors
• Non-equilibrium electronic transport in a one-dimensional Mott insulator
• Strong enhancement of transport by interaction on contact links
• Transport properties of the one-dimensional Hubbard model at finite temperature
• The Luttinger liquid and integrable models
• Time-dependent DMRG Study on Quantum Dot under a Finite Bias Voltage
• Transport through quantum dots: A combined DMRG and cluster-embedding study
• Magnetic excitation spectra of strongly correlated quasi-one dimensional systems: Heisenberg versus Hubbard-like behavior

Cited by in corpus (7)

• Luttinger liquid and charge-density-wave phases in a spinless fermion wire on a semiconducting substrate
• Density-matrix renormalization group study of the linear conductance in quantum wires coupled to interacting leads or phonons
• Thermal and optical conductivity in the Holstein model at half filling and at finite temperature in the Luttinger-liquid and charge-density-wave regime
• Tensor product approach to quantum control
• Conductance of correlated many-fermion systems from charge fluctuations
• Momentum-dependent relaxation dynamics of the doped repulsive Hubbard model
• Charge density wave breakdown in a heterostructure with electron-phonon coupling