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Nonlinear Conductivity and Collective Charge Excitations in the Lowest Landau Level
Assa Auerbach1, Daniel P Arovas2
1Physics Department, Technion, 32000 Haifa, Israel.
Nonlinear photoconductivity in quantum Hall phases can reveal charge excitations using a Floquet boost. This method may enable electrical probing of collective charge modes and composite fermion excitations.
Area of Science:
- Condensed Matter Physics
- Quantum Hall Effect
Background:
- Weakly disordered fractional quantum Hall phases exhibit unique electronic properties.
- Nonlinear photoconductivity is a potential tool for investigating these systems.
Purpose of the Study:
- To establish a relationship between nonlinear photoconductivity and charge susceptibility in quantum Hall phases.
- To explore the possibility of probing collective charge modes and composite fermion excitations via electrical transport.
Main Methods:
- Utilizing a Floquet boost to relate nonlinear photoconductivity to the clean system's charge susceptibility.
- Analyzing the behavior of incompressible phases under irradiation above the magnetoroton gap.
Main Results:
- A theoretical link is established between nonlinear photoconductivity and charge susceptibility.
- Incompressible phases are predicted to show negative photoconductivity and zero resistance states.
- Nonlinear conductivity shows potential for probing composite fermion charge excitations.
Conclusions:
- Nonlinear photoconductivity offers a viable pathway to study collective charge modes at finite wave vectors.
- The findings suggest new experimental possibilities for investigating fractional quantum Hall phases and their excitations.
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