Quantum geometric exciton drift velocity
نویسندگان
چکیده
We show that the dipole moment of an exciton is uniquely determined by quantum geometry its eigenstates, and demonstrate intimate connection with a quantity we call curvature. The curvature arises naturally in semiclassical dynamics electric field, adding term additional to anomalous velocity coming from Berry's In uniform field this contributes drift akin expected for excitons crossed magnetic fields, even absence real field. compute quantities relevant several interesting examples bilayer systems weak interlayer tunneling Fermi energy gap, where may be sensibly described as two-body problem. These include dispersion, curvature, For two gapped-graphene layers vanishing find vanishes if are identical, but non-zero when differ. further analyze presence allowing us examine cases involving graphene, which gap opened Landau level splitting. Heterostructures TMDs also considered. each case and/or curvatures play out differently. some cases, lowest state found reside at finite momentum, possibilities Bose condensation. situations increases monotonically suggesting can exploited produce photocurrents initially bound fields. speculate on possible effects geometries constituent subject same or different
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ژورنال
عنوان ژورنال: Physical review
سال: 2021
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physrevb.103.115422