Journal
PHYSICAL REVIEW B
Volume 80, Issue 18, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.80.184401
Keywords
critical exponents; Heisenberg model; lattice theory; Monte Carlo methods; Neel temperature; phase transformations; SU(N) theory
Funding
- Alexander von Humboldt foundation [NR-08-JCJC0056-01]
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A quantum phase transition is typically induced by tuning an external parameter that appears as a coupling constant in the Hamiltonian. Another route is to vary the global symmetry of the system, generalizing, e.g., SU(2) to SU(N). In that case, however, the discrete nature of the control parameter prevents one from identifying and characterizing the transition. We show how this limitation can be overcome for the SU(N) Heisenberg model with the help of a singlet projector algorithm that can treat N continuously. On the square lattice, we find a direct, continuous phase transition between Neacuteel-ordered and crystalline bond-ordered phases at N-c=4.57(5) with critical exponents z=1 and beta/nu=0.81(3).
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