Universality relations in non-solvable quantum spin chains

Details Universality relations in non-solvable quantum spin chains Universality relations in non-solvable quantum spin chains

2009-07-16

arxiv.org/abs/0907.2837v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

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.

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