Peierls substitution

The Peierls substitution method, named after the original work by R. Peierls is a widely employed approximation for describing tightly-bound… (More)
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Related topics

Related topics

4 relations
Action (physics)Hofstadter's butterflyPath integral formulationTight binding

Papers overview

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2016
2016
Peierls substitution for magnetic Bloch bands
We consider the one-particle Schrodinger operator in two dimensions with a periodic potential and a strong constant magnetic… (More)
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2014
2014
Breakdown of the Peierls substitution for the Haldane model with ultracold atoms
We present two independent approaches for calculating the tight-binding parameters of the Haldane model with ultracold atoms. The… (More)
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2010
2010
Peierls substitution and the Maslov operator method
AbstractWe consider a periodic Schrödinger operator in a constant magnetic field with vector potential A(x). A version of… (More)
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2008
2008
Semiclassical quantization of electrons in magnetic fields: The generalized Peierls substitution
A generalized Peierls substitution which takes into account a Berry phase term must be considered for the semiclassical treatment… (More)
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Highly Cited
2007
Highly Cited
2007
Optical phonons in carbon nanotubes: Kohn anomalies, Peierls distortions, and dynamic effects
We present a detailed study of the vibrational properties of single wall carbon nanotubes SWNTs. The phonon dispersions of SWNTs… (More)
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Highly Cited
2005
Highly Cited
2005
Layer solutions in a half-space for boundary reactions
R n−1 are denoted by y = (y1, . . . , yn−1). Our main goal is to study bounded solutions of (1.1) that are monotone increasing… (More)
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Highly Cited
2003
Highly Cited
2003
Effective Dynamics for Bloch Electrons: Peierls Substitution and Beyond
AbstractWe consider an electron moving in a periodic potential and subject to an additional slowly varying external electrostatic… (More)
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2000
2000
The exotic Galilei group and the "Peierls substitution"
Taking advantage of the two-parameter central extension of the planar Galilei group, we construct a non relativistic particle… (More)
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2000
2000
The "Peierls substitution" and the exotic Galilei group
  • C. Duval, P. A. Horvathy
  • 2000
Owing to the two-parameter central extension of the planar Galilei group, a non relativistic particle in the plane admits an… (More)
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2000
2000
A COMMENT ON THE "PEIERLS SUBSTITUTION"
We present a new way of doing perturbation theory of the Landau problem. We introduce two sets of raising and lowering operators… (More)
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