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Berry Curvature Effects on Quasiparticle Dynamics in Superconductors

2020/08/31 by Zhi Wang, Liang Dong, Cong Xiao +1 · 1 citation
Materials Science · Physics and Astronomy · #Berry connection and curvature #Condensed matter physics #Curvature #Geometric phase #Geometry #Graphene research and applications #Josephson effect #Pairing #Physics #Position and momentum space #Quantum and electron transport phenomena #Quantum mechanics #Quasiparticle #Semiclassical physics #Superconductivity #Supercurrent #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.126.187001

published as Phys. Rev. Lett. 126, 187001 (2021) · 4 pages, 1 figure

arxiv created 2020/09/18 · openalex publication_date 2021/05/06 · arxiv updated 2021/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We construct a theory for the semiclassical dynamics of superconducting quasiparticles by following their wave packet motion and reveal rich contents of Berry curvature effects in the phase space spanned by position and momentum. These Berry curvatures are traced back to the characteristics of superconductivity, including the nontrivial momentum-space geometry of superconducting pairing, the real-space supercurrent, and the charge dipole of quasiparticles. The Berry-curvature effects strongly influence the spectroscopic and transport properties of superconductors, such as the local density of states and the thermal Hall conductivity. As a model illustration, we apply the theory to study the twisted bilayer graphene with a dx2+y2+idxy superconducting gap function and demonstrate Berry-curvature induced effects.

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