Asymptotic degeneracy of the transfer matrix spectrum for systems with interfaces: Relation to surface stiffness and step free energy

Journal Article · Wed Feb 01 00:00:00 EST 1989 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01019773· OSTI ID:5724054

Privman, V; Svrakic, N M

Two- and three-dimensional Ising-type systems are considered in the finite-cross-section cylindrical geometry. An interface is forced along the cylinder (strip in 2d) by the antiperiodic or /plus minus/ boundary conditions. Detailed predictions are presented for the largest asymptotically degenerate set of the transfer matrix eigenvalues. For rough interfaces, i.e., for O < T < T/sub c/ in 2d, T/sub R/ < T < T/sub c/ in 3d, the eigenvalues are split algebraically, and the spectral gaps are governed by the surface stiffness coefficient. For rigid interfaces, i.e., O < T < T /sub R/ in 3d, the eigenvalues are split exponentially, with the gaps determined by the step free energy.

• Research Organization: Clarkson Univ., Potsdam, NY (USA)
• OSTI ID: 5724054
• Journal Information: J. Stat. Phys.; (United States), Vol. 54:3-4
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ISING MODEL
SURFACE PROPERTIES
TRANSFER MATRIX METHOD
BOUNDARY CONDITIONS
CRYSTAL LATTICES
EIGENVALUES
FLUCTUATIONS
FREE ENERGY
PARTITION FUNCTIONS
PHASE TRANSFORMATIONS
ROUGHNESS
SPIN
STATISTICAL MECHANICS
SURFACE TENSION
THREE-DIMENSIONAL CALCULATIONS
TRANSPORT THEORY
TWO-DIMENSIONAL CALCULATIONS
ANGULAR MOMENTUM
CRYSTAL MODELS
CRYSTAL STRUCTURE
ENERGY
FUNCTIONS
MATHEMATICAL MODELS
MECHANICS
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
VARIATIONS
656002* - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-)
657002 - Theoretical &amp; Mathematical Physics- Classical &amp; Quantum Mechanics