Fractional charge and inter-Landau–level states at points of singular curvature

Biswas, Rudro R.; Son, Dam Thanh

doi:10.1073/pnas.1609470113

Title: Fractional charge and inter-Landau–level states at points of singular curvature

Journal Article · 18 July 2016 · Proceedings of the National Academy of Sciences of the United States of America

DOI: https://doi.org/10.1073/pnas.1609470113 · OSTI ID:1266398

Biswas, Rudro R. ^[1]; Son, Dam Thanh ^[2]

Department of Physics and Astronomy, Purdue University, West Lafayette, IN 47907,
Kadanoff Center for Theoretical Physics, University of Chicago, Chicago, IL 60637

Significance Identifying universal topological properties of quantum phases of matter, namely, signatures robust to variations in system-specific details, can elucidate the essential physics of these exotic phases. Here we demonstrate that quantum Hall states behave universally at experimentally accessible singularly curved points on a lattice. At such points they bind an excess fractional charge, universally relatable to their curvatures, as well as bound states with energies at universal fractions of the inter-Landau–level energy gap. These bound states are both spatially as well as energetically isolated, and thus provide a promising new platform for creating qubits for quantum computation. Extensions of these ideas to other lattice topological phases will result in a new method of characterizing such phases.

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Research Organization:: Purdue Univ., West Lafayette, IN (United States); Univ. of Chicago, IL (United States)

Sponsoring Organization:: Simons Foundation (United States); USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: AC02-06CH11357; SC0009924

OSTI ID:: 1266398

Journal Information:: Proceedings of the National Academy of Sciences of the United States of America, Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Issue: 31 Vol. 113; ISSN 0027-8424

Publisher:: Proceedings of the National Academy of SciencesCopyright Statement

Country of Publication:: United States

Language:: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
geometry
gravitational response
quantum Hall
quantum computation
singularity

Title: Fractional charge and inter-Landau–level states at points of singular curvature

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