Crossover of Correlation Functions near a Quantum Impurity in a Tomonaga-Luttinger Liquid
arXiv:1805.05006 · doi:10.1103/PhysRevB.99.121103
Abstract
An impurity in a Tomonaga-Luttinger liquid leads to a crossover between short- and long-distance regime which describes many physical phenomena. However, calculation of the entire crossover of correlation functions over different length scales has been difficult. We develop a powerful numerical method based on infinite DMRG utilizing a finite system with infinite boundary conditions, which can be applied to correlation functions near an impurity. For the chain, we demonstrate that the full crossover can be precisely obtained, and that their limiting behaviors show a good agreement with field-theory predictions.
References in corpus (34)
- The density-matrix renormalization group in the age of matrix product states
- From density-matrix renormalization group to matrix product states
- Exact expectation values of local fields in quantum sine-Gordon model
- Exact Conductance through Point Contacts in the Fractional Quantum Hall Effect
- Electrical transport through carbon nanotube junctions created by mechanical manipulation
- Tunneling in One-Dimensional non-Luttinger Electron Liquid
- Exact non-equilibrium DC shot noise in Luttinger liquids and fractional quantum Hall devices
- Junctions of three quantum wires
- Tunneling in Quantum Wires: a Boundary Conformal Field Theory Approach
- Long-distance asymptotics of spin-spin correlation functions for the XXZ spin chain
- 1D-1D Coulomb Drag Signature of a Luttinger Liquid
- Correlation Amplitudes for the spin-1/2 XXZ chain in a magnetic field
- Tomonaga-Luttinger Liquid Features in Ballistic Single-Walled Carbon Nanotubes: Conductance and Shot Noise
- Infinite boundary conditions for matrix product state calculations
- Expectation values of boundary fields in the boundary sine-Gordon model
- Time Evolution within a Comoving Window: Scaling of signal fronts and magnetization plateaus after a local quench in quantum spin chains
- Time correlations in 1D quantum impurity problems
- Junctions of three quantum wires for spin 1/2 electrons
- Variational Matrix Product Ansatz for Nonuniform Dynamics in the Thermodynamic Limit
- Correlation functions of the spin-1/2 anti-ferromagnetic Heisenberg chain: exact calculation via the generating function
- Exact perturbative solution of the Kondo problem
- General method for calculating the universal conductance of strongly correlated junctions of multiple quantum wires
- Perturbation of infra-red fixed points and duality in quantum impurity problems
- Junctions of multiple quantum wires with different Luttinger parameters
- Self-duality in quantum impurity problems
- Density matrix elements and entanglement entropy for the spin-1/2 XXZ chain at =1/2
- Kondo effect in XXZ spin chains
- How to find conductance tensors of quantum multi-wire junctions through static calculations: application to an interacting Y-junction
- Current bistability and hysteresis in strongly correlated quantum wires
- Quantum impurity in a Luttinger liquid: Exact solution of the Kane-Fisher model
- Dynamical windows for real-time evolution with matrix product states
- A fermionic approach to tunneling through junctions of multiple quantum wires
- Quantum Impurity in Luttinger Liquid: Universal Conductance with Entanglement Renormalization
- Scattering amplitudes in non-Fermi liquid systems
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- Nonequilibrium Quantum Critical Steady State: Transport Through a Dissipative Resonant Level
- Two-wire Junction of Inequivalent Tomonaga-Luttinger Liquids
- Conductance of a Dissipative Quantum Dot: Nonequilibrium Crossover Near a Non-Fermi-Liquid Quantum Critical Point
- Entanglement flow in the Kane-Fisher quantum impurity problem
- Density-density Correlation Function of Strongly Inhomogeneous Luttinger Liquids
- Matrix product state simulations of quantum quenches and transport in Coulomb blockaded superconducting devices
- Impurity effects in one dimensional spin nematic liquid
- Density-density correlation functions of chiral Luttinger liquids with a point-contact impurity
- Characterization of localized effective spins in gapped quantum spin chains