'Deconfined' quantum critical points

'Deconfined' quantum critical points

September 22, 2003 | T. Senthil, Ashvin Vishwanath, Leon Balents, Subir Sachdev, Matthew P. A. Fisher
The paper presents a new theory of quantum critical points in two-dimensional antiferromagnets, where quantum interference effects invalidate the traditional Ginzburg-Landau-Wilson (GLW) paradigm. It introduces a 'deconfined' quantum critical point, where emergent gauge fields and fractionalized degrees of freedom arise, leading to a new critical theory that is not described by conventional order parameter fields. This theory applies to transitions between phases with different broken symmetries, such as the Néel and valence bond solid (VBS) phases. The critical theory is characterized by an emergent global topological conservation law, which leads to the deconfinement of spinon degrees of freedom. The paper also discusses the implications of this theory for correlated electron systems, suggesting that it may resolve experimental puzzles in these systems. The analysis is supported by field theory and duality transformations, showing that the critical theory is self-dual and belongs to the 3D XY universality class. The results are consistent with numerical simulations and provide evidence for a deconfined critical point in SU(2) symmetric models. The theory also has implications for the physical properties near the critical point, including the behavior of spin correlation lengths and the emergence of spinons. The paper concludes that the new paradigm for quantum criticality may provide insights into the behavior of quantum critical points in various materials, including high-temperature superconductors.The paper presents a new theory of quantum critical points in two-dimensional antiferromagnets, where quantum interference effects invalidate the traditional Ginzburg-Landau-Wilson (GLW) paradigm. It introduces a 'deconfined' quantum critical point, where emergent gauge fields and fractionalized degrees of freedom arise, leading to a new critical theory that is not described by conventional order parameter fields. This theory applies to transitions between phases with different broken symmetries, such as the Néel and valence bond solid (VBS) phases. The critical theory is characterized by an emergent global topological conservation law, which leads to the deconfinement of spinon degrees of freedom. The paper also discusses the implications of this theory for correlated electron systems, suggesting that it may resolve experimental puzzles in these systems. The analysis is supported by field theory and duality transformations, showing that the critical theory is self-dual and belongs to the 3D XY universality class. The results are consistent with numerical simulations and provide evidence for a deconfined critical point in SU(2) symmetric models. The theory also has implications for the physical properties near the critical point, including the behavior of spin correlation lengths and the emergence of spinons. The paper concludes that the new paradigm for quantum criticality may provide insights into the behavior of quantum critical points in various materials, including high-temperature superconductors.
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