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.
Universality Relations in Non-solvable Quantum Spin Chains / Benfatto, G.; Mastropietro, V.. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - 138:6(2010), pp. 1084-1108. [10.1007/s10955-010-9920-0]
Universality Relations in Non-solvable Quantum Spin Chains
V. Mastropietro
2010
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 allegati a questo prodotto
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