Topological Phonon Modes in a Two-Dimensional Wigner Crystal

doi:10.1088/0256-307X/34/3/036301

Chin. Phys. Lett.

2017, Vol. 34

Issue (3): 036301 DOI: 10.1088/0256-307X/34/3/036301

CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES

Topological Phonon Modes in a Two-Dimensional Wigner Crystal

Wen-Cheng Ji¹, Jun-Ren Shi^1,2**

¹International Center for Quantum Materials, Peking University, Beijing 100871
²Collaborative Innovation Center of Quantum Matter, Beijing 100871

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Wen-Cheng Ji, Jun-Ren Shi 2017 Chin. Phys. Lett. 34 036301

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Abstract We investigate the spin–orbit coupling effect in a two-dimensional (2D) Wigner crystal. It is shown that sufficiently strong spin–orbit coupling and an appropriate sign of $g$-factor could transform the Wigner crystal to a topological phonon system. We demonstrate the existence of chiral phonon edge modes in finite size samples, as well as the robustness of the modes in the topological phase. We explore the possibility of realizing the topological phonon system in 2D Wigner crystals confined in semiconductor quantum wells/heterostructure. It is found that the spin–orbit coupling is too weak for driving a topological phase transition in these systems. It is argued that one may look for topological phonon systems in correlated Wigner crystals with emergent effective spin–orbit coupling.

Received: 09 December 2016 Published: 28 February 2017

PACS:	63.20.-e	(Phonons in crystal lattices)
	73.21.-b	(Electron states and collective excitations in multilayers, quantum wells, mesoscopic, and nanoscale systems)

Fund: Supported by the National Basic Research Program of China under Grant No 2015CB921101, and the National Natural Science Foundation of China under Grant No 11325416.

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https://cpl.iphy.ac.cn/10.1088/0256-307X/34/3/036301 OR https://cpl.iphy.ac.cn/Y2017/V34/I3/036301

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