Quasiperiodic anisotropic XY model

Journal Article · Thu Sep 01 04:00:00 EDT 1988 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.38.5174· OSTI ID:6916709

Satija, I I; Doria, M M

The quasiperiodic anisotropic XY model in one-dimensional exhibits ordered and disordered phases with cantor spectra which we characterize in terms of the exponent delta and the f(..cap alpha..) curve. The transition to the long-range-order phase is signaled by a nonanalyticity in delta in addition to the singular behavior of the long-range correlation function. Based on our numerical results, we conjecture that f(..cap alpha..) is a smooth function in the disordered phase, becoming discontinuous in the ordered phase. At a special point in the ordered phase, the system exhibits a pointlike spectrum with localized states.

• Research Organization: Department of Physics, George Mason University, Fairfax, Virginia 22030
• OSTI ID: 6916709
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 38:7; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ABSOLUTE ZERO TEMPERATURE
ANISOTROPY
CORRELATION FUNCTIONS
FUNCTIONS
MAGNETIC PROPERTIES
MATHEMATICAL MODELS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
SCALING LAWS
SPECTRA