Deconfined Criticality Flow in the Heisenberg Model with Ring-Exchange Interactions

2013/01/31 by Kun Chen, Yuan Huang, Youjin Deng +6 · 123 citations
Physics and Astronomy · #Antiferromagnetism #Critical point (mathematics) #Heisenberg model #Mesoscopic physics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum critical point #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Scale invariance #Statistical physics #Theoretical and Computational Physics #Theoretical physics #cond-mat.stat-mech #cond-mat.str-el #hep-lat

paper · pdf · doi:10.1103/physrevlett.110.185701

published in Physical Review Letters 110(18), 185701 (American Physical Society) · 5 pages, 5 figures

openalex publication_date 2013/05/03 · arxiv created 2013/05/06 · arxiv updated 2016/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Quantum transition points in the J-Q model--the test bed of the deconfined critical point theory--and the SU(2)-symmetric discrete noncompact CP(1) representation of the deconfined critical action are directly compared by the flowgram method. We find that the flows of two systems coincide in a broad region of linear system sizes (10 < L < 50 for the J-Q model), implying that the deconfined critical point theory correctly captures the mesoscopic physics of competition between the antiferromagnetic and valence-bond orders in quantum spin systems. At larger sizes, however, we observe significant deviations between the two flows which both demonstrate strong violations of scale invariance. This reliably rules out the second-order transition scenario in at least one of the two models and suggests the most likely explanation for the nature of the transition in the J-Q model.

Citations

• Putting competing orders in their place near the Mott transition. II. The doped quantum dimer model
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Field- and temperature-induced topological phase transitions in the three-dimensionalN-component London superconductor
• Continuous Quantum Phase Transition between an Antiferromagnet and a Valence-Bond Solid in Two Dimensions: Evidence for Logarithmic Corrections to Scaling
• Deconfined Quantum Critical Points
• Putting competing orders in their place near the Mott transition

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