Topologically protected states in one-dimensional systems. Memoirs of the American Mathematical Society; volume 247, number 1173 (sixth of 7 numbers).

Fefferman, C. F.; Lee-thorp, J. P; Weinstein, M. I.

ISBN 10: 1470423235 / ISBN 13: 9781470423230

Published by Providence, American Mathematical Society, 2017

About this Item

Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-00770 9781470423230 Sprache: Englisch Gewicht in Gramm: 150.

Seller Inventory # 2484608

Bibliographic Details

• Title: Topologically protected states in one-dimensional systems. Memoirs of the American Mathematical Society; volume 247, number 1173 (sixth of 7 numbers).
• Publisher: Providence, American Mathematical Society
• Publication Date: 2017
• Language: English
• ISBN 10: 1470423235
• ISBN 13: 9781470423230
• Binding: Softcover
• Weight: 150 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

The authors study a class of periodic Schrodinger operators, which in distinguished cases can be proved to have linear band-crossings or ``Dirac points''. They 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''. These bound states are associated with the topologically protected zero-energy mode of an asymptotic one-dimensional Dirac operator. The authors' model captures many aspects of the phenomenon of topologically protected edge states for two-dimensional bulk structures such as the honeycomb structure of graphene. The states the authors construct can be realized as highly robust TM-electromagnetic modes for a class of photonic waveguides with a phase-defect.

About the Author

C. F. Fefferman, Princeton University, New Jersey.

J. P. Lee-Thorp, Columbia University, New York, NY.

M. I. Weinstein, Columbia University, New York, NY.