Conformal invariance in one-dimension and a two-component log-gas
Journal Article
·
· International Journal of Modern Physics B; (United States)
- Dept. of Mathematics, La Trobe Univ., Bundoora, Victoria 3083 (AU)
- Univ. Pierre et Marie Curie Structure et Reactivite aux Interfaces, Batiment, Place Jussieu 75230, Paris Cedex 05 (FR)
Conformal invariance in one-dimension implies the correlation functions must be constant. In this paper, it is demonstrated by an exact solution that all the correlations between like species in a two-component lattice gas with the logarithmic potential have the conformal invariance property at the metal- insulator transition. A further exactly solvable isotherm of the model system is studied and the corresponding density of zeros for the grand partition function is obtained explicitly. A phase transition along this isotherm can be induced by appropriate choice of the parameters.
- OSTI ID:
- 5003891
- Journal Information:
- International Journal of Modern Physics B; (United States), Vol. 4:5; ISSN 0217-9792
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
FERMIONS
ISING MODEL
PHASE TRANSFORMATIONS
CONFORMAL INVARIANCE
CORRELATION FUNCTIONS
ELECTRICAL INSULATORS
ISOTHERMS
METALS
ONE-DIMENSIONAL CALCULATIONS
PARTITION FUNCTIONS
POTENTIALS
CRYSTAL MODELS
ELECTRICAL EQUIPMENT
ELEMENTS
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INVARIANCE PRINCIPLES
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657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
656000 - Condensed Matter Physics
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
FERMIONS
ISING MODEL
PHASE TRANSFORMATIONS
CONFORMAL INVARIANCE
CORRELATION FUNCTIONS
ELECTRICAL INSULATORS
ISOTHERMS
METALS
ONE-DIMENSIONAL CALCULATIONS
PARTITION FUNCTIONS
POTENTIALS
CRYSTAL MODELS
ELECTRICAL EQUIPMENT
ELEMENTS
EQUIPMENT
FUNCTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
656000 - Condensed Matter Physics