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Universality Relations in Non-solvable Quantum Spin Chains

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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.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Roma “Tor Vergata”, via della Ricerca Scientifica, 00133, Roma, Italy

    G. Benfatto & V. Mastropietro

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  1. G. Benfatto
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  2. V. Mastropietro
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Correspondence to V. Mastropietro.

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Benfatto, G., Mastropietro, V. Universality Relations in Non-solvable Quantum Spin Chains. J Stat Phys 138, 1084–1108 (2010). https://doi.org/10.1007/s10955-010-9920-0

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  • DOI: https://doi.org/10.1007/s10955-010-9920-0

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