THESIS
2012
xii, 57 pages : illustrations (some color) ; 30 cm
Abstract
Exact diagonalization method is used to study the ground state order of one-hole t-J model with Dzyaloshinskii-Moriya (DM) interaction on a kagome lattice. From previous work, the Heisenberg antiferromagnet with DM interactions undergoes a quantum phase transition at the critical value D
c ~ 0.1J. For D
c c c...[
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Exact diagonalization method is used to study the ground state order of one-hole t-J model with Dzyaloshinskii-Moriya (DM) interaction on a kagome lattice. From previous work, the Heisenberg antiferromagnet with DM interactions undergoes a quantum phase transition at the critical value D
c ~ 0.1J. For D < D
c, the system has no long-range order while for D > D
c, it develops the Q = 0 order. Inserting a mobile hole should increase the frustration of the system and may destroy the Q = 0 ordered state. From the result of our analysis, we concluded that frustration introduced by a mobile hole is not strong enough to destroy the long range Q = 0 order. The critical value D
c for the appearance of the Q = 0 order is very close to the one in the undoped system.
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