Fermion-mediated long-range interactions of bosons in the one-dimensional Bose-Fermi-Hubbard model
Creators
- 1. Fachbereich Physik and Research Center OPTIMAS, Technische Universitaet Kaiserslautern, D-67663 Kaiserslautern (Germany)
Description
The ground-state phase diagram of mixtures of spin polarized fermions and bosons in a 1D periodic lattice is discussed in the limit of large fermion hopping and half filling of the fermions. Numerical simulations performed with the density matrix renormalization group (DMRG) show in addition to bosonic Mott insulating (MI), superfluid (SF), and charge density-wave phases (CDW) a yet unreported phase with spatial separation of MI and CDW regions. We derive an effective bosonic theory which allows for a complete understanding and quantitative prediction of the bosonic phase diagram. In particular the origin of CDW phase and the MI-CDW phase separation is revealed as an effective fermion-mediated long-range interaction between bosons with alternating sign.
Additional details
Identifiers
- DOI
- 10.1103/PhysRevA.81.011603;
- arXiv
- arXiv:0903.5226v2;
Publishing Information
- Journal Title
- Physical Review. A
- Journal Volume
- 81
- Journal Issue
- 1
- Journal Page Range
- p. 011603-011603.4
- ISSN
- 1050-2947
- CODEN
- PLRAAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41117408
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOSONS; CHARGE DENSITY; COMPUTERIZED SIMULATION; DENSITY MATRIX; FERMIONS; GROUND STATES; HUBBARD MODEL; INTERACTION RANGE; ONE-DIMENSIONAL CALCULATIONS; PERIODICITY; PHASE DIAGRAMS; RENORMALIZATION; SPIN ORIENTATION; SUPERFLUIDITY
- Descriptors DEC
- CRYSTAL MODELS; DIAGRAMS; DISTANCE; ENERGY LEVELS; INFORMATION; MATHEMATICAL MODELS; MATRICES; ORIENTATION; SIMULATION; VARIATIONS
Optional Information
- Notes
- (c) 2010 The American Physical Society