Spin-$S$ designer hamiltonians and the square lattice $S=1$ Haldane nematic

Autor: Desai, Nisheeta, Kaul, Ribhu K.
Rok vydání: 2019
Předmět:
Zdroj: Phys. Rev. Lett. 123, 107202 (2019)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevLett.123.107202
Popis: We introduce a strategy to write down lattice models of spin rotational symmetric Hamiltonians with arbitrary spin-$S$ that are Marshall positive and can be simulated efficiently using world line Monte Carlo methods. As an application of our approach we consider a square lattice $S=1$ model for which we design a $3\times 3$ - spin plaquette interaction. By numerical simulations we establish that our model realizes a novel "Haldane nematic" phase that breaks lattice rotational symmetry by the spontaneous formation of Haldane chains, while preserving spin rotations, time reversal and lattice translations. By supplementing our model with a two-spin Heisenberg interaction, we present a study of the transition between N\'eel and Haldane nematic phase, which we find to be of first order.
Databáze: arXiv