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}...[ Read more ]

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.