Universität zu Köln

Hattori, K. and Rosch, A. (2014). Quantum impurity in a Tomonaga-Luttinger liquid: Continuous-time quantum Monte Carlo approach. Phys. Rev. B, 90 (11). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1550-235X

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Abstract

We develop a continuous-time quantum Monte Carlo (CTQMC) method for quantum impurities coupled to interacting quantum wires described by a Tomonaga-Luttinger liquid. The method is negative-sign free for any values of the Tomonaga-Luttinger parameter, which is rigorously proved, and, thus, efficient low-temperature calculations are possible. Duality between electrons and bosons in one-dimensional systems allows us to construct a simple formula for the CTQMC algorithm in these systems. We show that the CTQMC for Tomonaga-Luttinger liquids can be implemented with only minor modifications of previous CTQMC codes developed for impurities coupled to noninteracting fermions. We apply this method to the Kane-Fisher model of a potential scatterer in a spin-less quantum wire and to a single spin coupled with the edge state of a two-dimensional topological insulator assuming an anisotropic XXZ coupling. Various dynamical response functions such as the electron Green's function and spin-spin correlation functions are calculated numerically and their scaling properties are discussed.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Hattori, K. UNSPECIFIED UNSPECIFIED UNSPECIFIED Rosch, A. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-429007
DOI:	10.1103/PhysRevB.90.115103
Journal or Publication Title:	Phys. Rev. B
Volume:	90
Number:	11
Date:	2014
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1550-235X
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language DIMENSIONAL ELECTRON-GAS; KONDO PROBLEM; EDGE; TRANSPORT; SYSTEMS; STATES; FIELD Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/42900