Solution to the sign problem in a frustrated quantum impurity model

Hann, Connor T and Huffman, Emilie and Chandrasekharan, Shailesh (2017) Solution to the sign problem in a frustrated quantum impurity model. In: ANNALS OF PHYSICS, 376 . pp. 63-75.

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Abstract

In this work we solve the sign problem of a frustrated quantum impurity model consisting of three quantum spin-half chains interacting through an anti-ferromagnetic Heisenberg interaction at one end. We first map the model into a repulsive Hubbard model of spin-half fermions hopping on three independent one dimensional chains that interact through a triangular hopping at one end. We then convert the fermion model into an inhomogeneous one dimensional model and express the partition function as a weighted sum over fermion worldline configurations. By imposing a pairing of fermion worldlines in half the space we show that all negative weight configurations can be eliminated. This pairing naturally leads to the original frustrated quantum spin model at half filling and thus solves its sign problem. (C) 2016 Elsevier Inc. All rights reserved.

Item Type:	Journal Article
Publication:	ANNALS OF PHYSICS
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
Additional Information:	Copy right for this article belongs to the ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited:	15 Mar 2017 04:35
Last Modified:	15 Mar 2017 04:35
URI:	http://eprints.iisc.ac.in/id/eprint/56385

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