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Quantum Oscillations without a Fermi Surface and the Anomalous de Haas-van Alphen Effect
Johannes Knolle1, Nigel R Cooper1
1T.C.M. Group, Cavendish Laboratory, J. J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom.
Physical Review Letters
|November 10, 2015
Summary
Quantum oscillations, typically indicating a Fermi surface, can also occur in certain band insulators. This study presents new formulas for these oscillations, deviating from standard theories and offering insights for heavy-fermion systems.
Area of Science:
- Condensed Matter Physics
- Quantum Materials
- Solid State Physics
Background:
- The de Haas-van Alphen effect (dHvAE) is conventionally used to detect and measure Fermi surfaces in metals.
- Analysis typically relies on Lifshitz-Kosevich (LK) theory, rooted in Fermi liquid theory.
Purpose of the Study:
- To demonstrate the existence of quantum oscillations in band insulators.
- To develop a theoretical framework for understanding these oscillations and their temperature dependence.
- To explore implications for experimental measurements, particularly in complex materials.
Main Methods:
- Theoretical analysis of quantum oscillations in insulating systems.
- Derivation of analytic formulas for temperature dependence.
- Comparison with existing experimental data and theories.
Main Results:
- Quantum oscillations can arise in specific types of band insulators, contrary to common assumptions.
- New analytic formulas are derived, showing significant deviations from the standard LK theory.
- The findings provide a new perspective on interpreting quantum oscillation data.
Conclusions:
- The presence of quantum oscillations is not exclusive to metallic Fermi surfaces.
- The developed theory offers a tool to analyze oscillations in insulators and potentially in systems with hybridization gaps.
- This work could refine experimental interpretations in fields like heavy-fermion physics.
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