Renormalization-group analysis of the one-dimensional extended Hubbard model with a single impurity

Abstract

We analyze the one-dimensional extended Hubbard model with a single static impurity by using a computational technique based on the functional renormalization group. This extends previous work for spinless fermions to spin-1/2 fermions. The underlying approximations are devised for weak interactions and arbitrary impurity strengths, and have been checked by comparing with density-matrix renormalization-group data. We present results for the density of states, the density profile and the linear conductance. Two-particle backscattering leads to striking effects, which are not captured if the bulk system is approximated by its low-energy fixed point, the Luttinger model. In particular, the expected decrease of spectral weight near the impurity and of the conductance at low energy scales is often preceded by a pronounced increase, and the asymptotic power laws are modified by logarithmic corrections.

36 pages, 13 figures, revised version as published

References in corpus (23)

• The density-matrix renormalization group
• Exact evolution equation for the effective potential
• One-Dimensional Fermi liquids
• The Exact Renormalisation Group and Approximate Solutions
• Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes
• Effective low-energy theory for correlated carbon nanotubes
• Renormalization group analysis of the 2D Hubbard model
• Tunneling in One-Dimensional non-Luttinger Electron Liquid
• Friedel oscillations for interacting fermions in one dimension
• Impurity and correlation effects on transport in one-dimensional quantum wires
• Tomonaga-Luttinger parameters for doped Mott insulators
• Functional renormalization group for Luttinger liquids with impurities
• A junction of three quantum wires: restoring time-reversal symmetry by interaction
• Transmission Probability for Interacting Electrons Connected to Reservoirs
• Luttinger liquids with boundaries: Power-laws and energy scales
• Competing phases in the extended U-V-J Hubbard model near the van Hove fillings: 2-patch approach
• Competing phases in the extended U-V-J Hubbard model near the van Hove fillings
• The conductance of interacting nano-wires
• Persistent currents in mesoscopic rings: A numerical and renormalization group study
• Scaling behavior of impurities in mesoscopic Luttinger liquids
• Correlation effects on resonant tunneling in one-dimensional quantum wires
• Scaling of the conductance in a quantum wire
• Boundary effects on one-particle spectra of Luttinger liquids

Cited by in corpus (35)

• Functional renormalization group approach to correlated fermion systems
• New Trends in Density Matrix Renormalization
• Charge transport through single molecules, quantum dots, and quantum wires
• Quantitative functional renormalization-group description of the two-dimensional Hubbard model
• Conductance through a potential barrier embedded in a Luttinger liquid: nonuniversal scaling at strong coupling
• Pseudo-fermion functional renormalization group for spin models
• Universal short-time dynamics: boundary functional renormalization group for a temperature quench
• Fulfillment of sum rules and Ward identities in the multiloop functional renormalization group solution of the Anderson impurity model
• Kondo physics in transport through a quantum dot with Luttinger liquid leads
• Fermionic renormalization group methods for transport through inhomogeneous Luttinger liquids
• Finite-temperature behavior of an impurity in the spin-1/2 XXZ chain
• Functional Renormalization Group Approach for Inhomogeneous Interacting Fermi-Systems
• Spin-polarized currents through interacting quantum wires with nonmagnetic leads
• On the relation between the 0.7-anomaly and the Kondo effect: Geometric Crossover between a Quantum Point Contact and a Kondo Quantum Dot
• Critical scales in anisotropic spin systems from functional renormalization
• Tomonaga-Luttinger parameters and spin excitations in the dimerized extended Hubbard model
• Spin-orbit coupling effects in one-dimensional ballistic quantum wires
• Charge and spin Drude weight of the one-dimensional extended Hubbard model at quarter-filling
• Numerical study of transport through a single impurity in a spinful Tomonaga-Luttinger liquid
• Dual fermionic variables and renormalization group approach to junctions of strongly interacting quantum wires
• Universality at work -- the local sine-Gordon model, lattice fermions, and quantum circuits
• Interaction effects in a microscopic quantum wire model with strong spin-orbit interaction
• Low-energy local density of states of the 1D Hubbard model
• Local spectral properties of Luttinger liquids: scaling versus nonuniversal energy scales
• Coupling-geometry-induced temperature scales in the conductance of Luttinger liquid wires
• Boundary versus bulk behavior of time-dependent correlation functions in one-dimensional quantum systems
• Quantum Impurity in Luttinger Liquid: Universal Conductance with Entanglement Renormalization
• Local density of states of a quarter-filled one-dimensional Mott insulator with a boundary
• Observation of spin-charge separation and boundary bound states via the local density of states
• Functional Renormalization-Group Analysis of Luttinger Liquids with Impurities
• Correlation effects on electronic transport through dots and wires
• Spin-spin correlations between two Kondo impurities coupled to an open Hubbard chain
• A functional renormalization group approach to electronic structure calculations for systems without translational symmetry
• Dimensionality of metallic atomic wires on surfaces
• Friedel oscillations of one-dimensional correlated fermions from perturbation theory and density functional theory