Gauge freedom for degenerate Bloch states

F. Pientka; M. Gradhand; D. V. Fedorov; I. Mertig; B. L. Gyoerffy

doi:10.1103/PhysRevB.86.054413

Gauge freedom for degenerate Bloch states

F. Pientka^*, M. Gradhand, D. V. Fedorov, I. Mertig, B. L. Gyoerffy

^*Corresponding author for this work

School of Physics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

11 Citations (Scopus)

Abstract

In nonmagnetic crystals with inversion symmetry the electronic bands are twofold degenerate. As a consequence, any orthonormalized linear combination of the two corresponding eigenfunctions can represent the electron wave function. A priori it is not obvious which superposition, gauge, should be chosen to calculate a quantity which is not gauge invariant within a certain approximation. Here we consider gauge options appropriate under particular physical conditions.

Original language	English
Article number	054413
Journal	Physical Review B: Condensed Matter and Materials Physics
Volume	86
DOIs	https://doi.org/10.1103/PhysRevB.86.054413
Publication status	Published - 2012

Keywords

SYSTEMS
CRYSTALS
BERRY-PHASE
ELECTRONS
WAVE-PACKET DYNAMICS

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title = "Gauge freedom for degenerate Bloch states",

abstract = "In nonmagnetic crystals with inversion symmetry the electronic bands are twofold degenerate. As a consequence, any orthonormalized linear combination of the two corresponding eigenfunctions can represent the electron wave function. A priori it is not obvious which superposition, gauge, should be chosen to calculate a quantity which is not gauge invariant within a certain approximation. Here we consider gauge options appropriate under particular physical conditions.",

keywords = "SYSTEMS, CRYSTALS, BERRY-PHASE, ELECTRONS, WAVE-PACKET DYNAMICS",

author = "F. Pientka and M. Gradhand and Fedorov, {D. V.} and I. Mertig and Gyoerffy, {B. L.}",

year = "2012",

doi = "10.1103/PhysRevB.86.054413",

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volume = "86",

journal = "Physical Review B: Condensed Matter and Materials Physics",

issn = "1098-0121",

publisher = "American Physical Society (APS)",

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TY - JOUR

T1 - Gauge freedom for degenerate Bloch states

AU - Pientka, F.

AU - Gradhand, M.

AU - Fedorov, D. V.

AU - Mertig, I.

AU - Gyoerffy, B. L.

PY - 2012

Y1 - 2012

N2 - In nonmagnetic crystals with inversion symmetry the electronic bands are twofold degenerate. As a consequence, any orthonormalized linear combination of the two corresponding eigenfunctions can represent the electron wave function. A priori it is not obvious which superposition, gauge, should be chosen to calculate a quantity which is not gauge invariant within a certain approximation. Here we consider gauge options appropriate under particular physical conditions.

AB - In nonmagnetic crystals with inversion symmetry the electronic bands are twofold degenerate. As a consequence, any orthonormalized linear combination of the two corresponding eigenfunctions can represent the electron wave function. A priori it is not obvious which superposition, gauge, should be chosen to calculate a quantity which is not gauge invariant within a certain approximation. Here we consider gauge options appropriate under particular physical conditions.

KW - SYSTEMS

KW - CRYSTALS

KW - BERRY-PHASE

KW - ELECTRONS

KW - WAVE-PACKET DYNAMICS

U2 - 10.1103/PhysRevB.86.054413

DO - 10.1103/PhysRevB.86.054413

M3 - Article (Academic Journal)

SN - 1098-0121

VL - 86

JO - Physical Review B: Condensed Matter and Materials Physics

JF - Physical Review B: Condensed Matter and Materials Physics

M1 - 054413

ER -

Gauge freedom for degenerate Bloch states

Abstract

Keywords

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