Iaizzi, AdamSandvik, Anders W.2018-05-112018-05-112015Iaizzi, Adam, and Anders W. Sandvik. "1D valence bond solids in a magnetic field." Journal of Physics: Conference Series 640 (2015) 012043https://hdl.handle.net/2144/28875Presented at XXVI IUPAP Conference on Computational Physics (CCP2014)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-Q2 model---using stochastic series expansion quantum Monte Carlo simulations with directed loop updates. We discuss the ground state phase diagram.en-USContent from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.http://creativecommons.org/licenses/by/3.0/us/Valence bond solidMonte Carlo simulationsStrongly correlated electronsComputational physicsArticle10.1088/1742-6596/640/1/012043