1D valence bond solids in a magnetic field

Abstract

A Valence bond solid (VBS) is a nonmagnetic, long-range ordered state of a quantum spin system where local spin singlets are formed in some regular pattern. We here study the competition between VBS order and a fully polarized ferromagnetic state as function of an external magnetic field in a one-dimensional extended Heisenberg model---the J-Q${}_2$ model---using stochastic series expansion quantum Monte Carlo simulations with directed loop updates. We discuss the ground state phase diagram.

5 pages, 6 figures, presented at XXVI IUPAP Conference on Computational Physics (CCP2014)

References in corpus (2)

• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Bridging lattice-scale physics and continuum field theory with quantum Monte Carlo simulations

Cited by in corpus (5)

• Field-driven quantum phase transitions in $S=1/2$ spin chains
• Metamagnetism and zero-scale-factor universality in the two-dimensional $J$-$Q$ model
• Field induced non-BEC transitions in frustrated magnets
• Bose-Einstein condensation of deconfined spinons in two dimensions
• Field-induced freezing in the unfrustrated Ising antiferromagnet