Evidence of Unconventional Universality Class in a Two-Dimensional Dimerized Quantum Heisenberg Model

dc.creatorWenzel, Sandro
dc.creatorBogacz, Leszek
dc.creatorJanke, Wolfhard
dc.date2008-05-16
dc.date2008-09-22
dc.date.accessioned2026-07-07T10:03:55Z
dc.date.available2026-07-07T10:03:55Z
dc.descriptionThe two-dimensional $J$-$J^\prime$ dimerized quantum Heisenberg model is studied on the square lattice by means of (stochastic series expansion) quantum Monte Carlo simulations as a function of the coupling ratio \hbox{$α=J^\prime/J$}. The critical point of the order-disorder quantum phase transition in the $J$-$J^\prime$ model is determined as \hbox{$α_\mathrm{c}=2.5196(2)$} by finite-size scaling for up to approximately $10 000$ quantum spins. By comparing six dimerized models we show, contrary to the current belief, that the critical exponents of the $J$-$J^\prime$ model are not in agreement with the three-dimensional classical Heisenberg universality class. This lends support to the notion of nontrivial critical excitations at the quantum critical point.
dc.description4+ pages, 5 figures, version as published
dc.identifierhttps://arxiv.org/abs/0805.2500
dc.identifierhttp://arxiv.org/abs/0805.2500
dc.identifierPhys. Rev. Lett. 101, 127202 (2008)
dc.identifierdoi:10.1103/PhysRevLett.101.127202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169471
dc.subjectStatistical Mechanics
dc.subjectStrongly Correlated Electrons
dc.titleEvidence of Unconventional Universality Class in a Two-Dimensional Dimerized Quantum Heisenberg Model
dc.typetext

Files

Collections