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RESEARCH PRODUCT

Ising Spin-Glass on a Lattice with Small Loops

Pik Yin LaiPik Yin LaiYadin Y. Goldschmidt

subject

PhysicsSpin glassBethe latticeCondensed matter physicsTransition temperatureGeneral Physics and AstronomyCondensed Matter::Disordered Systems and Neural Networkssymbols.namesakeLattice (order)symbolsIsing modelSymmetry breakingHamiltonian (quantum mechanics)Critical dimension

description

We consider the Ising spin-glass on a special lattice containing small loops with finite coordination number c. We derive the equation for the effective field distribution. With zero external field, we calculate the spin-glass transition temperature and obtain the lower critical dimension of the system. We investigate the system near and below the spin-glass transition and find that the replica symmetric solution is unstable in the low-temperature phase. Our results indicate that the replica symmetry breaking (RSB) effects are stronger than that of the Bethe lattice and furthermore, RSB is enhanced as the dimension (c/2) is decreased. Comparison with recent results of the 1/d expansion is also discussed.

yearjournalcountryeditionlanguage
1991-09-07Europhysics Letters (EPL)
https://doi.org/10.1209/0295-5075/16/2/004