Operator renormalization group and spin systems

Journal Article · Mon Jul 15 04:00:00 EDT 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.44.488· OSTI ID:5654498

Stubbins, C ^[1]

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1. Department of Physics, Franklin Marshall College, Lancaster, Pennsylvania (US)

The results of a new hybrid method for calculating ground-state energies for lattice Hamiltonians are presented. This method combines the {ital t} expansion with the real-space renormalization-group approach, with the hope of extracting infinite-volume physics at {ital t}{r arrow}{infinity} from calculations of only a few powers of {ital t}. We calculate the ground-state energy for the (1+1)-dimensional anisotropic Heisenberg model and the (1+1)-dimensional Ising model. Using a blocking that treats the sites and links symmetrically, we were able to determine the exact critical point of the Ising system. In both of these systems we see that the operator renormalization-group method substantially improves upon the results of either the {ital t} expansion or real-space renormalization-group methods used separately.

• OSTI ID: 5654498
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 44:2; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
ANGULAR MOMENTUM
CRYSTAL MODELS
ENERGY DENSITY
FERROMAGNETISM
FIELD THEORIES
GAUGE INVARIANCE
HAMILTONIANS
HEISENBERG MODEL
INVARIANCE PRINCIPLES
ISING MODEL
LATTICE FIELD THEORY
MAGNETISM
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RENORMALIZATION
SPIN
TWO-DIMENSIONAL CALCULATIONS