Ground state of antiferromagnetic quantum spin systems of the triangular lattice

秀稔 西森, Hidetoshi Nishimori, Hiizu Nakanishi

Ke Wang, Xingjian Liu, Li-Ming Tu +3 more

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.

Tsutomu Momoi

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.

Subir Sachdev A, Kwon Park