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Theory of dissipationless Nernst effects
Doron L Bergman1, Vadim Oganesyan
1Department of Physics, California Institute of Technology, Pasadena, California 91125, USA.
Physical Review Letters
|April 7, 2010
Summary
We found that transverse thermoelectric conductivity is directly related to entropy per carrier, simplifying theories for materials like graphene. This discovery offers new insights into electron behavior in magnetic fields.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Quantum Transport
Background:
- Transverse thermoelectric conductivity (alpha_xy) is crucial for Nernst thermopower.
- Understanding electron behavior in magnetic fields is key for novel materials.
Purpose of the Study:
- Develop a theory for transverse thermoelectric conductivity (alpha_xy) in strong magnetic fields.
- Establish a universal relationship between alpha_xy and entropy per carrier.
- Explore implications for 2D materials like graphene.
Main Methods:
- Theoretical development of transverse thermoelectric conductivity.
- Analysis of free electron gas models.
- Investigation of disorder effects in two dimensions.
- Exploitation of low-field regime analysis.
Main Results:
- Demonstrated that alpha_xy equals entropy per carrier for a free electron gas, independent of temperature.
- Proved the universality of this result in 2D systems with disorder.
- Analyzed singularity structures in alpha_xy(B,T) in 3D.
Conclusions:
- The established relationship simplifies theoretical approaches to thermoelectric phenomena.
- Provides a framework for interpreting experimental results in graphene and other 2D materials.
- Highlights potential experimental implications of the observed singularity structures.
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