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Quantum skyrmions and the stability of an SO(3) quantum spin‐glass
Author(s) -
Marino E. C.,
da Conceição C. M. S.
Publication year - 2010
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200983024
Subject(s) - skyrmion , hamiltonian (control theory) , physics , spin glass , condensed matter physics , quantum , spin (aerodynamics) , duality (order theory) , gaussian , quantum mechanics , mathematics , mathematical optimization , discrete mathematics , thermodynamics
We explore the order–disorder duality relation existing between the spin degrees of freedom and the skyrmion topological excitations in a quenched, disordered SO(3) quantum spin system described by a Heisenberg hamiltonian with nearest neighbor interactions and a Gaussian distribution of couplings. The quantum skyrmion correlation functions are evaluated in each of the phases presented by the system. These realize all possibilities allowed by the duality relation. There is a spin‐glass phase at finite temperature, where the skyrmion correlator have a power‐law behavior. The Berezinskii–Kosterlitz–Thouless (BKT) mechanism stabilizes this phase.