Huijse, L. and Moran, N. and Vala, Jiri and Schoutens, K. (2011) Exact ground states of a staggered supersymmetric model for lattice fermions. Physical Review B, 84 (115124). pp. 1-15. ISSN 1098-0121

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Abstract

We study a supersymmetric model for strongly interacting lattice fermions in the presence of a staggering parameter. The staggering is introduced as a tunable parameter in the manifestly supersymmetric Hamiltonian. We obtain analytic expressions for the ground states in the limit of small and large staggering for the model on the class of doubly decorated lattices. On this type of lattice there are two ground states, each with a different density. In one limit we find these ground states to be a simple Wigner crystal and a valence bond solid state. In the other limit we find two types of quantum liquids. As a special case, we investigate the quantum liquid state on the one dimensional chain in detail. It is characterized by a massless kink that separates two types of order.

Item Type:	Article
Additional Information:	The definitive version of this article is available at DOI: 10.1103/PhysRevB.84.115124
Keywords:	Exact ground states; staggered supersymmetric model; lattice fermions;
Academic Unit:	Faculty of Science and Engineering > Mathematical Physics
Item ID:	4525
Depositing User:	Dr. Jiri Vala
Date Deposited:	01 Oct 2013 14:36
Journal or Publication Title:	Physical Review B
Publisher:	American Physical Society
Refereed:	Yes
URI:	http://prb.aps.org/
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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