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首页> 外文期刊>Physical review.B.Condensed matter and materials physics >Deconfined criticality and a gapless Z_2 spin liquid in the square-lattice antiferromagnet
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Deconfined criticality and a gapless Z_2 spin liquid in the square-lattice antiferromagnet

机译：Deconfined Cressicality和Aqual-Lattice Antiferromagnet中的无间隙Z_2旋转液体

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The theory for the vanishing of Neel order in the spin S=1/2 square lattice antiferromagnet has been the focus of attention for many decades. A consensus appears to have emerged in recent numerical studies on the antiferromagnet with first and second neighbor exchange interactions (the J_1-J_2 model): A gapless spin liquid is present for a narrow window of parameters between the vanishing of the Neel order and the onset of a gapped valence bond solid state. We propose a deconfined critical SU(2) gauge theory for a transition into a stable Z_2 spin liquid with massless Dirac spinon excitations; on the other side of the critical point, the SU(2) spin liquid (the ‘π-fiux' phase) is presumed to be unstable to confinement to the Neel phase. We identify a dangerously irrelevant coupling in the critical SU(2) gauge theory, which contributes a logarithm-squared renormalization. This critical theory is also not Lorentz invariant and weakly breaks the SO(5) symmetry which rotates between the Neel and valence bond solid order parameters. We also propose a distinct deconfined critical U(1) gauge theory for a transition into the same gapless Z_2 spin liquid; on the other side of the critical point, the U(1) spin liquid (the 'staggered flux' phase) is presumed to be unstable to confinement to the valence bond solid. This critical theory has no dangerously irrelevant coupling, dynamic critical exponent z≠1, and no SO(5) symmetry. All of these phases and critical points are unified in a SU(2) gauge theory with Higgs fields and fermionic spinons which can naturally realize the observed sequence of phases with increasing J_2/J_1: Neel, gapless Z_2 spin liquid, and valence bond solid.
机译：在旋转S = 1/2平方晶格反霉菌中消失的尼尔订单的理论一直是几十年来关注的焦点。在近邻居交换机相互作用的反铁磁体上近近近邻居交换机（J_1-J_2型号）的数值研究中出现了共识（J_1-J_2型号）：在内部顺序的消失和发作之间的狭窄参数窗口中存在无光旋旋转液体镀层粘合键固态。我们提出了一种欺骗的关键SU（2）尺度理论，用于过渡到具有麻醉的Dirac Spinon激发的稳定Z_2旋转液体;在临界点的另一侧，苏（2）旋转液体（'π-FIUX'相）被推测不稳定以限制NEEL阶段。我们在关键SU（2）尺度理论中识别危险的无关耦合，这有助于对数平方的重整化。这种批判性理论也不是Lorentz不变，弱断裂，所以（5）对称，在Neel和价键固定参数之间旋转。我们还提出了一种独特的欺骗临界U（1）尺度理论，用于过渡到相同的无光结Z_2旋转液体中;在临界点的另一侧，假定U（1）旋转液体（'交错的助焊剂相位）以限制对价键固体的限制。该临界理论没有危险的无关耦合，动态临界指数Z≠1，且不为止（5）对称性。所有这些阶段和关键点都在SU（2）尺度理论中统一，利用HIGGS领域和FERMIONIC纺丝，其可以自然地实现观察到的J_2 / J_1：NEER，GAPLESS Z_2旋液和价键固体的观察到的相序列。

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  • 来源
    《Physical review.B.Condensed matter and materials physics》 |2021年第4期|045110.1-045110.22|共22页
  • 作者

    Henry Shackleton; Alex Thomson; Subir Sachdev;

  • 作者单位

    Department of Physics Harvard University Cambridge Massachusetts 02138 USA;

    Institute for Quantum Information and Matter California Institute of Technology Pasadena California 91125 USA Walter Burke Institute for Theoretical Physics California Institute of Technology Pasadena California 91125 USA Department of Physics California Institute of Technology Pasadena California 91125 USA;

    Department of Physics Harvard University Cambridge Massachusetts 02138 USA;

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