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Modelling electron-phonon interactions in graphene with curved space hydrodynamics
Ilario Giordanelli1, Miller Mendoza2, Hans Jürgen Herrmann2,3
1ETH Zürich, Computational Physics for Engineering Materials, Institute for Building Materials, Wolfgang-Pauli-Strasse 27, 8093, Zürich, Switzerland. ilario.giordanelli@gmail.com.
Scientific Reports
|August 24, 2018
Summary
We present a novel curved space hydrodynamics model for electron-phonon interactions in graphene. This approach explains how lattice vibrations affect electrical resistivity, offering new insights for materials science.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Theoretical Physics
Background:
- Electron-phonon interactions are crucial for understanding electrical resistivity in materials.
- Graphene exhibits unique electronic properties influenced by lattice vibrations.
Purpose of the Study:
- To introduce a new theoretical framework for electron-phonon interactions using curved space hydrodynamics.
- To model the effect of lattice vibrations on electrical resistivity in graphene.
Main Methods:
- Describing lattice vibrations as spacetime curvature.
- Applying hydrodynamic equations to electron flow in graphene.
- Analyzing inertial corrections to electronic flow.
Main Results:
- The model naturally incorporates electron-phonon interactions.
- A temperature-independent coupling constant controls interaction strength.
- Satisfactory recovery of the linear resistivity scaling law in graphene at high temperatures.
Conclusions:
- Curved space hydrodynamics offers a new perspective on electron-phonon interactions.
- The model is applicable to graphene and other Fermi liquid materials.
- This approach provides a fresh viewpoint for studying electron-phonon coupling.
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