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

Verlag: Providence, American Mathematical Society, 2017

Beschreibung

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.

Bestandsnummer des Verkäufers 2484608

Bibliografische Details

• Titel: Topologically protected states in one-dimensional systems. Memoirs of the American Mathematical Society; volume 247, number 1173 (sixth of 7 numbers).
• Verlag: Providence, American Mathematical Society
• Erscheinungsjahr: 2017
• Sprache: Englisch
• ISBN-10: 1470423235
• ISBN-13: 9781470423230
• Einband: Softcover
• Verkäuferkataloge:
  • SA MATHEMATIK

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

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

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

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