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Topologically protected states in one-dimensional systems / C. L. Fefferman, J. P. Lee-Thorp and M. I. Weinstein.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v 247, no 1173.Publication details: Providence : American Mathematical Society, 2017.Description: vii, 118 pages : illustrations ; 26 cmISBN:
  • 9781470423230 (alk. paper)
Subject(s): DDC classification:
  • 510 23 Am512
Contents:
1. Introduction and outline -- 2. Floquet-Bloch and Fourier analysis -- 3. Dirac points of 1D periodic structures -- 4. Domain wall modulated periodic Hamiltonian and formal derivation of topologically protected bound states -- 5. Main theorem -- bifurcation of topologically protected states -- 6. Proof of the main theorem -- Appendices.
Summary: Examines a class of periodic Schrodinger operators, which in distinguished cases can be proved to have linear band-crossings or "Dirac points". The authors then show that the introduction of an "edge", via adiabatic modulation of these periodic potentials by a domain wall, results in the bifurcation of spatially localized "edge states".
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510 Am512 (Browse shelf(Opens below)) Available 138215
Total holds: 0

Includes bibliographical references.

1. Introduction and outline --
2. Floquet-Bloch and Fourier analysis --
3. Dirac points of 1D periodic structures --
4. Domain wall modulated periodic Hamiltonian and formal derivation of topologically protected bound states --
5. Main theorem -- bifurcation of topologically protected states --
6. Proof of the main theorem --
Appendices.

Examines a class of periodic Schrodinger operators, which in distinguished cases can be proved to have linear band-crossings or "Dirac points". The authors then show that the introduction of an "edge", via adiabatic modulation of these periodic potentials by a domain wall, results in the bifurcation of spatially localized "edge states".

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