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Search for Deconfined Criticality: SU(2) D\'{e}j\`{a} Vu · Around

2008

Search for Deconfined Criticality: SU(2) D\'{e}j\`{a} Vu

Kuklov, A. B., Matsumoto, M., Prokof'ev, N. V. et al.

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Monte Carlo simulations of the SU(2)-symmetric deconfined critical point action reveal strong violations of scale invariance for the deconfinement transition.

We find compelling evidence that the generic runaway renormalization flow of the gauge coupling is to a weak first order transition, similar to the case of U(1)$\times$U(1) symmetry.
Our results imply that recent numeric studies of the N\`{e}el antiferromagnet to valence bond solid quantum phase transition in SU(2)-symmetric models were not accurate enough in determining the nature of the transition.

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Similar

A. Kuklov, N. Prokof’ev, and B. Svistunov, Phys. Rev. Lett. 93
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E. Babaev, Nucl. Phys. B 686
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L. Balents, L. Bartosch, A. Burkov, S. Sachdev, and K. Sengupta, Phys. Rev. B 71 144509 (2005); ibid 144508 (2005)
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A. Kuklov, N.V. Prokof’ev, and B.V. Svistunov, Prog. of Theor. Phys. Suppl. 160
2005
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A. Kuklov, N. Prokof’ev, B. Svistunov, and M. Troyer, Ann. Phys. (N.Y.) 321
2006
Cited alongside, same era.
O.I. Motrunich and A. Vishwanath, arXiv:0805.1494
Original
Cited in the paper.

Then

A.W. Sandvik and R.G. Melko, Ann. Phys. (N.Y.) 321
2006
Later among the works it cites.
S. Kragset, E. Smørgrav, J. Hove, F.S. Nogueira, and A. Sudbø, Phys. Rev. Lett. 97
2006
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A.W. Sandvik, Phys. Rev. Lett. 98
2007
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Preliminary results have been announced: A. Kuklov, M. Matsumoto, N. Prokof’ev, B. Svistunov, and M. Troyer, Bull. Am. Phys. Soc. 53
2007
Later among the works it cites.
R.G. Melko and R.K. Kaul, Phys. Rev. Lett. 100
2008
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F.-J. Jiang, M. Nyfeler, S. Chandrasekharan, and U.-J. Wiese, arXiv:0710.3926

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See Ref. Babaev for discussions of 2d as well as 3d field induced paired phases in two-component superconductors

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The interaction constant K K in Ref. MV is defined as K = 1 / ( 4 g ) K=1/(4g)

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A flow collapse is meaningful even when the collapsing lines R ⁡ ( L ) R(L) are relatively short and reminiscent of straight lines: a straight line is described by two independent parameters, while the rescaling procedure has only one degree of freedom of shifting the line horizontally in logarithmical scale. The master curve may significantly deviate from a straight line and prove indispensable for understanding the global character of the flow and difficulties with the finite-size scaling in specific models

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