# Impurity in a Luttinger liquid: A numerical study of the finite-size energy spectrum and of the orthogonality catastrophe exponent.

@article{Qin1996ImpurityIA, title={Impurity in a Luttinger liquid: A numerical study of the finite-size energy spectrum and of the orthogonality catastrophe exponent.}, author={Qin and Fabrizio and Yu.}, journal={Physical review. B, Condensed matter}, year={1996}, volume={54 14}, pages={ R9643-R9646 } }

The behavior of a single impurity in a one-dimensional Luttinger liquid is numerically investigated by means of the density matrix renormalization group. By analyzing the finite size scaling behavior of the low energy spectrum, we confirm the theoretical prediction of Kane and Fisher [Phys. Rev. Lett. 68, 1220 (1992)] both for attractive and repulsive interactions. Moreover, we calculate the exponent of the orthogonality catastrophe, which gives a further support to the above theoretical…

## Topics from this paper

## 13 Citations

Finite-size Energy of Non-interacting Fermi Gases

- Physics, Mathematics
- 2014

We study the asymptotics of the difference of the ground-state energies of two non-interacting N-particle Fermi gases in a finite volume of length L in the thermodynamic limit up to order 1/L. We are…

Impurities in One Dimension

- Physics
- 2002

The renormalization and scaling arguments for the behavior of an impurity in a conformai invariant 1+1 dimensional field theory are reviewed by using simple examples in the field theory description…

Boundary states and edge singularities in the degenerate Hubbard chain

- Physics
- 1998

Using the Bethe ansatz we study the spectrum of boundary bound states of the SU(N) generalization of the one-dimensional Hubbard model with open boundaries and applied boundary potentials. The number…

Spectrum of boundary states in the open Hubbard chain

- Physics
- 1997

We use the Bethe ansatz solution for the one-dimensional Hubbard model with open boundary conditions and applied boundary fields to study the spectrum of bound states at the boundary. Depending on…

Tunneling singularities in the open Hubbard chain

- Physics
- 1999

We study singularities in the I–V characteristics for sequential tunneling from resonant localized levels (e.g. a quantum dot) into a one-dimensional electron system described by a Hubbard model.…

Critical entanglement of XXZ Heisenberg chains with defects

- Physics
- 2006

We study the entanglement properties of anisotropic open spin one-half Heisenberg chains with a modified central bond. The entanglement entropy between the two half-chains is calculated with the…

The density-matrix renormalization group

- Physics
- 2005

The density-matrix renormalization group (DMRG) is a numerical algorithm for the efficient truncation of the Hilbert space of low-dimensional strongly correlated quantum systems based on a rather…

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

- Physics
- 2003

Recently, the stochastic series expansion (SSE) has been proposed as a powerful Monte Carlo method, which allows simulations at low T for quantum-spin systems. We show that the SSE allows us to…

Nontrivial interplay of strong disorder and interactions in quantum spin-Hall insulators doped with dilute magnetic impurities

- PhysicsPhysical Review B
- 2018

We investigate nonperturbatively the effect of a magnetic dopant impurity on the edge transport of a quantum spin Hall (QSH) insulator. We show that for a strongly coupled magnetic dopant located…

The One-Dimensional Hubbard Model: Index

- Physics
- 2005

The description of a solid at a microscopic level is complex, involving the interaction of a huge number of its constituents, such as ions or electrons. It is impossible to solve the corresponding…