Ground state of quantum spin systems on the triangular lattice

毅彦 溝口, Takehiko Oguchi, 秀稔 西森 +2 more

Takehiko Oguchi

Hidetoshi Nishimori, Hiizu Nakanishi

The ground states of quantum spin systems with spin 1 / 2 are investigated on the triangular lattice by numerically diagonalizing finite size systems ( N ≦27). In the ferromagnetic and antiferromagnetic X Y models the correlation functions are found to decay by power laws. The antiferromagnetic Heisenberg model is likely to be paramagnetic in the ground state. Thus the classical long-range order is destroyed by quantum effects in all of the models we studied.

Ola Bratteli, Akitaka Kishimoto, Derek W. Robinson

Hidetoshi Nishimori, Hiizu Nakanishi

The ground states of quantum spin systems with spin 1 / 2 are investigated on the triangular lattice by numerically diagonalizing finite size systems ( N ≦27). In the ferromagnetic and antiferromagnetic X Y models the correlation functions are found to decay by power laws. The antiferromagnetic Heisenberg model is likely to be paramagnetic in the ground state. Thus the classical long-range order is destroyed by quantum effects in all of the models we studied.

Pieter Naaijkens