Quantum Monte Carlo of coupled fermion chains

Conference · Sun Jun 01 04:00:00 EDT 1986 · J. Stat. Phys.; (United States)

OSTI ID:6843059

Kung, D S

Computation involving fermions in more than one dimension presents a challenge to Monte Carlo simulations. One is either faced with calculation of the fermion determinant or the appearance of random walks that carry negative weights. The cancellations among positive and negative weights give rise to uncontrollable fluctuations. A new stochastic algorithm is proposed for treating quantum problems in which the matrix elements of the projection operator, U(..beta..) = e/sup -betaH/, carries both positive and negative signs. The algorithm is a variant of the population scheme of the Projector Monte Carlo method. We apply this algorithm to a double-chain fermion system where electron tunnelling across the chains gives rise to unavoidable negative matrix elements.

• Research Organization: Stanford Univ., Stanford, CA
• OSTI ID: 6843059
• Report Number(s): CONF-8509213-
• Conference Information: Journal Name: J. Stat. Phys.; (United States) Journal Volume: 43:5/6
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COMPUTERIZED SIMULATION
ELECTRONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
INTERACTIONS
LEPTONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
MONTE CARLO METHOD
PARTICLE INTERACTIONS
PARTICLE MODELS
PROJECTION OPERATORS
QUANTUM FIELD THEORY
SIMULATION
TUNNEL EFFECT