Exact ground states of a staggered supersymmetric model for lattice fermions
- Department of Physics, Harvard University, Cambridge, Massachusetts 02138 (United States)
- Laboratoire Pierre Aigrain, ENS and CNRS, 24 rue Lhomond, F-75005 Paris (France)
- Department of Mathematical Physics, National University of Ireland, Maynooth (Ireland)
- Institute for Theoretical Physics, University of Amsterdam, Science Park 904, P.O. Box 94485, NL-1090 GL Amsterdam (Netherlands)
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.
- OSTI ID:
- 21596868
- Journal Information:
- Physical Review. B, Condensed Matter and Materials Physics, Vol. 84, Issue 11; Other Information: DOI: 10.1103/PhysRevB.84.115124; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1098-0121
- Country of Publication:
- United States
- Language:
- English
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SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CRYSTAL LATTICES
CRYSTALS
DENSITY
FERMIONS
GROUND STATES
HAMILTONIANS
SIMULATION
SOLIDS
STRONG INTERACTIONS
SUPERSYMMETRY
VALENCE
BASIC INTERACTIONS
CRYSTAL STRUCTURE
ENERGY LEVELS
INTERACTIONS
MATHEMATICAL OPERATORS
PHYSICAL PROPERTIES
QUANTUM OPERATORS
SYMMETRY