RT Journal Article
T1 Thermodynamics and criticality of supersymmetric spin chains with long-range interactions
A1 Finkel Morgenstern, Federico
A1 González López, Artemio
A1 Rodríguez González, Miguel Ángel
A1 León Merino, Iván
AB We study the thermodynamics and critical behavior of su(m|n) supersymmetric spin chains of Haldane-Shastry type with a chemical potential term. We obtain a closed-form expression for the partition function and deduce a description of the spectrum in terms of the supersymmetric version of Haldane's motifs, which we apply to obtain an analytic expression for the free energy per site in the thermodynamic limit. By studying the low-temperature behavior of the free energy, we characterize the critical behavior of the chains with 1 <= m, n <= 2, determining the critical regions and the corresponding central charge. We also show that in the su(2|1), su(1| 2) and su(2| 2) chains the bosonic or fermionic densities can undergo first-order ( discontinuous) phase transitions at T = 0, in contrast with the previously studied su(2) case.
PB IOP Publishing
SN 1742-5468
YR 2018
FD 2018-04
LK https://hdl.handle.net/20.500.14352/12112
UL https://hdl.handle.net/20.500.14352/12112
LA eng
NO © IOP Publishing.FF, AG-L and MAR were partially supported by Spain’s MINECO under research grant no. FIS2015-63966-P.
NO Ministerio de Economía y Competitividad (MINECO)
DS Docta Complutense
RD 6 abr 2025