Wigner crystallization in topological flat bands. (15th June 2018)

• Record Type: Journal Article
• Authors: Jaworowski, Błażej; Güçlü, Alev Devrim; Kaczmarkiewicz, Piotr; Kupczyński, Michał; Potasz, Paweł; Wójs, Arkadiusz
• Is Part Of: New journal of physics. Volume 20:Number 6(2018:Jun.)
• Publication Date: 2018-06-15
• Subjects: topological flat bands -- Wigner crystal -- fractional Chern insulators -- long-range interactions -- charge order; Physics -- Periodicals; Physics; Periodicals; 530.05
• DOI: 10.1088/1367-2630/aac690
• Languages: English
• ISSNs: 1367-2630

Abstract

Abstract: We study the Wigner crystallization on partially filled topological flat bands of kagome, honeycomb and checkerboard lattices. We identify the Wigner crystals (WCs) by analyzing the Cartesian and angular Fourier transform of the pair correlation density of the many-body ground state obtained using exact diagonalization. The crystallization strength, measured by the magnitude of the Fourier peaks, increases with decreasing particle density. The Wigner crystallization observed by us is a robust and general phenomenon, existing in all three lattice models for a broad range of filling factors and interaction parameters. The shape of the resulting WCs is determined by the boundary conditions of the chosen plaquette. It is to a large extent independent on the underlying lattice, including its topology, and follows the behavior of classical point particles.