We investigate the nonmagnetic phase of the spin-half frustrated Heisenberg antiferromagnet on the square lattice using exact diagonalization (up to 36 sites) and quantum Monte Carlo techniques (up to 144 sites). The spin gap and the susceptibilities for the most important crystal symmetry breaking operators are computed. A genuine and somehow unexpected "plaquette resonating valence bond," with spontaneously broken translation symmetry and no broken rotation symmetry, comes out from our numerical simulations as the most plausible ground state for J(2)/J(1) similar or equal to 0.5.

Spontaneous plaquette dimerization in the J(1)-J(2) Heisenberg model / Capriotti, L; Sorella, Sandro. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 84:14(2000), pp. 3173-3176. [10.1103/PhysRevLett.84.3173]

Spontaneous plaquette dimerization in the J(1)-J(2) Heisenberg model

Sorella, Sandro
2000-01-01

Abstract

We investigate the nonmagnetic phase of the spin-half frustrated Heisenberg antiferromagnet on the square lattice using exact diagonalization (up to 36 sites) and quantum Monte Carlo techniques (up to 144 sites). The spin gap and the susceptibilities for the most important crystal symmetry breaking operators are computed. A genuine and somehow unexpected "plaquette resonating valence bond," with spontaneously broken translation symmetry and no broken rotation symmetry, comes out from our numerical simulations as the most plausible ground state for J(2)/J(1) similar or equal to 0.5.
2000
84
14
3173
3176
https://arxiv.org/abs/cond-mat/9911161
Capriotti, L; Sorella, Sandro
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/13427
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