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Vortices, Zero Modes, and Fractionalization in the Bilayer-Graphene Exciton Condensate

2008/06/30 by Babak Seradjeh, B. Seradjeh, H. Weber +3 · 5 citations
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum optics and atomic interactions #Strong Light-Matter Interactions #cond-mat.mes-hall #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.101.246404

published as Phys. Rev. Lett. 101, 246404 (2008). · (v2) A typo in Fig. 1 and a slight error in Eq. (4) corrected; all the main results and conclusions remain unchanged

arxiv created 2008/08/01 · openalex publication_date 2008/12/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A real-space formulation is given for the recently discussed exciton condensate in a symmetrically biased graphene bilayer. We show that in the continuum limit an oddly quantized vortex in this condensate binds exactly one zero-mode per valley index of the bilayer. In the full lattice model, the zero modes are split slightly due to intervalley mixing. We support these results by an exact numerical diagonalization of the lattice Hamiltonian. We also discuss the effect of the zero modes on the charge content of these vortices and deduce some of their interesting properties.

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