Universal Scaling in the Fan of an Unconventional Quantum Critical Point

Journal Article · Mon Dec 31 23:00:00 EST 2007 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.100.017203· OSTI ID:958808

Melko, Roger G ^[1]; Kaul, Ribhu ^[2]

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1. ORNL
2. Harvard University

We present the results of extensive finite-temperature Quantum Monte Carlo simulati ons on a SU(2) symmetric, $S=1/2$$ quantum antiferromagnet with a frustrating four-s pin interaction -- the so-called 'JQ' model~[Sandvik, Phys. Rev. Lett. {\bf 98}, 22 7202 (2007)]. Our simulations, which are unbiased, free of the sign-problem and car ried out on lattice sizes containing in excess of $$1.6\times 10^4$$ spins, indicate that N\'eel order is destroyed through a continuous quantum transition at a critica l value of the frustrating interaction. At larger values of this coupling the param agnetic state obtained has valence-bond solid order. The scaling behavior in the 'q uantum critical fan' above the putative critical point confirms a $$z=1$ quantum pha se transition that is not in the conventional $O(3)$ universality class. Our result s are consistent with the predictions of the 'deconfined quantum criticality' scena rio.

• Research Organization: Oak Ridge National Laboratory (ORNL)
• Sponsoring Organization: ORNL other overhead
• DOE Contract Number: AC05-00OR22725
• OSTI ID: 958808
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 1 Vol. 100; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English