We prove the exact relations between the critical exponents and the susceptibility, implied by the Haldane Luttinger liquid conjecture, for a generic lattice fermionic model or a quantum spin chain with short range weak interaction. The validity of such relations was only checked in some special solvable models, but there was up to now no proof of their validity in non-solvable models.
Benfatto, G., Mastropietro, V. (2010). Universality Relations in Non-solvable Quantum Spin Chains. JOURNAL OF STATISTICAL PHYSICS, 138(6), 1084-1108 [10.1007/s10955-010-9920-0].
Universality Relations in Non-solvable Quantum Spin Chains
BENFATTO, GIUSEPPE;MASTROPIETRO, VIERI
2010-01-01
Abstract
We prove the exact relations between the critical exponents and the susceptibility, implied by the Haldane Luttinger liquid conjecture, for a generic lattice fermionic model or a quantum spin chain with short range weak interaction. The validity of such relations was only checked in some special solvable models, but there was up to now no proof of their validity in non-solvable models.File in questo prodotto:
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