4.8 Article

Evidence for an unconventional universality class from a two-dimensional dimerized quantum Heisenberg model

Journal

PHYSICAL REVIEW LETTERS
Volume 101, Issue 12, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.101.127202

Keywords

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Funding

  1. Studienstiftung des deutsches Volkes
  2. DFH-UFA
  3. BuildMoNa
  4. NIC [HLZ12]

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The two-dimensional J-J' 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 alpha=J'/J. The critical point of the order-disorder quantum phase transition in the J-J' model is determined as alpha(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' 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.

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