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Topologically Protected States in One-Dimensional Systems

Topologically Protected States in One-Dimensional Systems

          
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About the Book

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.


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Product Details
  • ISBN-13: 9781470423230
  • Publisher: American Mathematical Society
  • Binding: Paperback
  • Height: 254 mm
  • No of Pages: 118
  • Spine Width: mm
  • Width: 178 mm
  • ISBN-10: 1470423235
  • Publisher Date: 30 May 2017
  • Edition: Memoirs of the American Mathematical Society
  • Language: English
  • Returnable: Y
  • Weight: 200 gr


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