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Low‐temperature spin transport in the S = 1 one‐ and two‐dimensional antiferromagnets with Dzyaloshinskii–Moriya interaction
Author(s) -
Lima L. S.
Publication year - 2012
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.201147167
Subject(s) - condensed matter physics , physics , antiferromagnetism , kubo formula , formalism (music) , isotropy , spin (aerodynamics) , quantum mechanics , conductivity , heisenberg model , quantum , art , musical , visual arts , thermodynamics
We present a study of the spin transport at low‐temperature in the quantum S = 1 one‐ and two‐dimensional Heisenberg antiferromagnet with the Dzyaloshinskii–Moriya interaction (DM). The spin conductivity is calculated using the Schwinger boson representation and the Kubo formalism of transport in the one‐dimensional case and using the self‐consistent harmonic approximation and the Kubo formalism in the two‐dimensional case. The objective is to determine the regular part of the spin conductivity and the Drude weight D S . This determines if the spin transport has a ballistic or diffusive character. We calculate the regular part of the spin conductivity, σ reg ( ω ), as function of the frequency at T = 0 only and the Drude weight at zero and finite temperatures. We obtained that the spin transport is governed by the multimagnon processes in all cases analyzed since the symmetry of the isotropic Heisenberg antiferromagnetic model is broken with the addition of the DM term.