Exact ground states of a staggered supersymmetric model for lattice fermions

Autor:	Huijse, L., Moran, N., Vala, J., Schoutens, K.
Rok vydání:	2011
Předmět:	Condensed Matter - Strongly Correlated Electrons Condensed Matter - Statistical Mechanics High Energy Physics - Lattice Mathematical Physics
Zdroj:	Phys. Rev. B 84, 115124 (2011)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevB.84.115124
Popis:	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 (VBS) 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. Comment: 21 pages, 6 figures, v2: largely rewritten version with more emphasis on physical interpretation
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1103.1368 Zobrazit plný text záznamu View this record from Arxiv