Symmetry and duality in bosonization of two-dimensional Dirac fermions
Symmetry and duality in bosonization of two-dimensional Dirac fermions
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DOI：
10.1103/physrevx.7.041016
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发表时间：
2017-05
期刊：
影响因子：
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通讯作者：
David F. Mross;J. Alicea;O. Motrunich
中科院分区：
文献类型：
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作者：
David F. Mross;J. Alicea;O. Motrunich
最近对玻色子-费米子映射族的研究强调了对称性和对偶性的相互作用：玻色子（费米子）的粒子-涡旋对偶性所关联的相位在它们的费米子（玻色子）表述中与时间反演对称性相关。我们提出了一些具体的模型，使这个属性明确的操作员级别的精确映射。我们用一维和二维量子伊辛模型说明了这种方法，然后类似地探索了（2+1）维中复杂玻色子和狄拉克费米子的对偶网络。
Recent work on a family of boson-fermion mappings has emphasized the interplay of symmetry and duality: Phases related by a particle-vortex duality of bosons (fermions) are related by time-reversal symmetry in their fermionic (bosonic) formulation. We present exact mappings for a number of concrete models that make this property explicit on the operator level. We illustrate the approach with one- and two-dimensional quantum Ising models, and then similarly explore the duality web of complex bosons and Dirac fermions in (2+1) dimensions.