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Adiabatic pumping of Chern-Simons axion coupling
Maryam Taherinejad1, David Vanderbilt1
1Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854-0849, USA.
Physical Review Letters
|March 21, 2015
Summary
Adiabatic pumping of Chern-Simons axion (CSA) coupling involves sheet-touching events. Nonzero second Chern numbers drive quantized Berry curvature transfer, pumping CSA coupling units.
Area of Science:
- Condensed Matter Physics
- Topological Materials
- Quantum Field Theory
Background:
- Chern-Simons axion (CSA) coupling is crucial in topological phases.
- Understanding adiabatic pumping requires advanced theoretical frameworks.
Purpose of the Study:
- To investigate adiabatic pumping of CSA coupling using the hybrid Wannier representation.
- To derive a new formula for CSA coupling and analyze its behavior.
Main Methods:
- Utilizing the hybrid Wannier representation with Wannier charge centers as sheets.
- Developing a novel formula for CSA coupling involving Berry curvatures and potentials.
- Analyzing sheet-touching events and Berry curvature transfer.
Main Results:
- A new formula for CSA coupling is derived.
- Nonzero second Chern numbers necessitate sheet-touching events for Berry curvature transfer.
- Quantized units of CSA coupling are pumped by lattice vectors.
Conclusions:
- The study provides a detailed mechanism for adiabatic pumping of CSA coupling.
- The findings offer insights into topological phase transitions and quantum transport.
- Explicit calculations validate the theoretical predictions.
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