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Semiclassical quantization of electrons in magnetic fields: the generalized Peierls substitution
- Source :
- European Physics letters 84, European Physics letters 84, 2008, pp.50002, EPL-Europhysics Letters, EPL-Europhysics Letters, European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing, 2008, 84, pp.50002. ⟨10.1209/0295-5075/84/50002⟩, HAL
- Publication Year :
- 2008
- Publisher :
- HAL CCSD, 2008.
-
Abstract
- International audience; A generalized Peierls substitution which takes into account a Berry phase term must be considered for the semiclassical treatment of electrons in a magnetic field. This substitution turns out to be an essential element for the correct determination of the semiclassical equations of motion as well as for the semiclassical Bohr-Sommerfeld quantization condition for energy levels. A general expression for the cross-sectional area is derived and used as an illustration for the calculation of the energy levels of Bloch and Dirac electrons.
- Subjects :
- High Energy Physics - Theory
[PHYS.COND.CM-SCE] Physics [physics]/Condensed Matter [cond-mat]/Strongly Correlated Electrons [cond-mat.str-el]
FOS: Physical sciences
General Physics and Astronomy
Semiclassical physics
Electron
01 natural sciences
010305 fluids & plasmas
Quantization (physics)
Dirac electron
[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]
Quantum mechanics
Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
0103 physical sciences
010306 general physics
General expression
[PHYS.COND.CM-MSQHE]Physics [physics]/Condensed Matter [cond-mat]/Mesoscopic Systems and Quantum Hall Effect [cond-mat.mes-hall]
ComputingMilieux_MISCELLANEOUS
[PHYS.QPHY] Physics [physics]/Quantum Physics [quant-ph]
Physics
Condensed Matter - Mesoscale and Nanoscale Physics
[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]
Equations of motion
Magnetic field
Nonlinear Sciences::Chaotic Dynamics
High Energy Physics - Theory (hep-th)
Geometric phase
[PHYS.COND.CM-SCE]Physics [physics]/Condensed Matter [cond-mat]/Strongly Correlated Electrons [cond-mat.str-el]
Subjects
Details
- Language :
- English
- ISSN :
- 02955075 and 12864854
- Database :
- OpenAIRE
- Journal :
- European Physics letters 84, European Physics letters 84, 2008, pp.50002, EPL-Europhysics Letters, EPL-Europhysics Letters, European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing, 2008, 84, pp.50002. ⟨10.1209/0295-5075/84/50002⟩, HAL
- Accession number :
- edsair.doi.dedup.....7c41cb27cc7483e5817c34a36796e695