Disruption of quantum oscillations by an incommensurate charge density wave

Because a material with an incommensurate charge density wave (ICDW) is only quasiperiodic, Bloch's theorem does not apply and there is no sharply defined Fermi surface. We will show that, as a consequence, there are no quantum oscillations which are truly periodic functions of 1/B (where B is...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2015-02, Vol.91 (8), Article 085105
Main Authors: Zhang, Yi, Maharaj, Akash V., Kivelson, Steven
Format: Article
Language:English
Subjects:
Cascades
Charge density waves
Condensed matter
Fermi surfaces
Magnetic fields
Oscillations
Periodic functions
Periodic variations
Quasicrystals
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Summary:Because a material with an incommensurate charge density wave (ICDW) is only quasiperiodic, Bloch's theorem does not apply and there is no sharply defined Fermi surface. We will show that, as a consequence, there are no quantum oscillations which are truly periodic functions of 1/B (where B is the magnitude of an applied magnetic field). For a weak ICDW, there exist broad ranges of 1/B in which approximately periodic variations occur, but with frequencies that vary inexorably in an unending cascade with increasing 1/B. For a strong ICDW, e.g., in a quasicrystal, no quantum oscillations survive at all. Rational and irrational numbers really are different.
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.91.085105