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Dynamics of the Wigner crystal of composite particles
Physical Review B ( IF 3.7 ) Pub Date : 2018-03-20 00:00:00 , DOI: 10.1103/physrevb.97.125133
Junren Shi , Wencheng Ji

Conventional wisdom has long held that a composite particle behaves just like an ordinary Newtonian particle. In this paper, we derive the effective dynamics of a type-I Wigner crystal of composite particles directly from its microscopic wave function. It indicates that the composite particles are subjected to a Berry curvature in the momentum space as well as an emergent dissipationless viscosity. While the dissipationless viscosity is the Chern-Simons field counterpart for the Wigner crystal, the Berry curvature is a feature not presented in the conventional composite fermion theory. Hence, contrary to general belief, composite particles follow the more general Sundaram-Niu dynamics instead of the ordinary Newtonian one. We show that the presence of the Berry curvature is an inevitable feature for a dynamics conforming to the dipole picture of composite particles and Kohn's theorem. Based on the dynamics, we determine the dispersions of magnetophonon excitations numerically. We find an emergent magnetoroton mode which signifies the composite-particle nature of the Wigner crystal. It occurs at frequencies much lower than the magnetic cyclotron frequency and has a vanishing oscillator strength in the long-wavelength limit.

中文翻译:

复合粒子威格纳晶体的动力学

长期以来,传统观点认为,复合粒子的行为就像普通的牛顿粒子一样。在本文中,我们直接从其微观波函数推导了复合粒子的I型维格纳晶体的有效动力学。这表明复合颗粒在动量空间中受到贝里曲率的影响,并且出现了无耗散的粘性。虽然无耗散粘度是Wigner晶体的Chern-Simons场对应物,但Berry曲率却是常规复合费米子理论中没有表现出的特征。因此,与一般观点相反,复合粒子遵循更普通的Sundaram-Niu动力学,而不是普通的牛顿动力学。我们证明了贝里曲率的存在是动力学的必然特征,该动力学符合复合粒子和科恩定理的偶极子图。基于动力学,我们通过数值确定磁浮子激发的色散。我们发现了一种新兴的磁电势模式,该模式表示维格纳晶体的复合粒子性质。它的发生频率远低于回旋加速器的磁性频率,并且在长波长范围内振荡器强度逐渐消失。
更新日期:2018-03-20
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