World-line quantum Monte Carlo algorithm for a one-dimensional Bose model

Journal Article · Thu Oct 01 04:00:00 EDT 1992 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.46.9051· OSTI ID:7197641

Batrouni, G G ^[1]; Scalettar, R T ^[2]

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1. Thinking Machines Corporation, 245 First Street, Cambridge, Massachusetts 02142 (United States)
2. Physics Department, University of California, Davis, California 95616 (United States)

In this paper we provide a detailed description of the ground-state phase diagram of interacting, disordered bosons on a lattice. We describe a quantum Monte Carlo algorithm that incorporates in an efficient manner the required bosonic wave-function symmetry. We consider the ordered case, where we evaluate the compressibility gap and show the lowest three Mott insulating lobes. We obtain the critical ratio of interaction strength to hopping at which the onset of superfluidity occurs for the first lobe, and the critical exponents {nu} and {ital z}. For the disordered model we show the effect of randomness on the phase diagram and the superfluid correlations. We also measure the response of the superfluid density, {rho}{sub {ital s}}, to external perturbations. This provides an unambiguous characterization of the recently observed Bose and Anderson glass phases.

• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 7197641
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 46:14; ISSN PRBMD; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665420* -- Superfluidity-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOSONS
CHAINS
COMPRESSIBILITY
CRYSTAL LATTICES
CRYSTAL STRUCTURE
DIAGRAMS
ENERGY LEVELS
GROUND STATES
MECHANICAL PROPERTIES
MONTE CARLO METHOD
ONE-DIMENSIONAL CALCULATIONS
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
RANDOMNESS
SUPERFLUIDITY