Series Study of a Spin-Glass Model in Continuous Dimensionality | Zendy

Ronald Fisch | Zendy; A. B. Harris | Zendy

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Series Study of a Spin-Glass Model in Continuous Dimensionality

Author(s) -

Ronald Fisch,

A. B. Harris

Publication year - 1977

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.38.785

Subject(s) - spin glass , spins , series (stratigraphy) , curse of dimensionality , condensed matter physics , exponent , scaling , physics , ising spin , series expansion , dimension (graph theory) , order (exchange) , mathematical physics , spin (aerodynamics) , ising model , monotonic function , critical exponent , statistical physics , quantum mechanics , combinatorics , mathematics , phase transition , thermodynamics , statistics , mathematical analysis , paleontology , linguistics , philosophy , geometry , finance , economics , biology

A high-temperature series expansion for the Edwards and Anderson spin-glass order-parameter susceptibility is computed for Ising spins on hypercubic lattices with nearest-neighbor interactions. The series is analyzed by Pade approximants with Rudnick-Nelson-type corrections to scaling. The results agree with the first-order e expansion of Harris, Lubensky, and Chen. The critical exponent γQ increases monotonically with decreasing dimension, d, for d<6, and apparently tends to infinity at d=4; however, the critical temperature does not appear to go to zero at d=4.

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