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Hall conductance and topological invariant for open systems
11] Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun 130024, China [2] School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China.
Scientific Reports
|September 25, 2014
Summary
We present a new method to calculate Hall conductivity in topological insulators affected by decoherence. This research extends quantum transport studies to open quantum systems, offering insights into their conductive properties.
Area of Science:
- Condensed Matter Physics
- Quantum Transport Phenomena
- Topological Insulators
Background:
- Hall conductivity is a key metric in quantum transverse transport, typically studied in isolated systems.
- The impact of decoherence on Hall conductivity in topological insulators remains largely unexplored.
- Existing theories often neglect environmental interactions, limiting their applicability to realistic systems.
Purpose of the Study:
- To develop a theoretical framework for calculating Hall conductivity in topological insulators under decoherence.
- To extend linear response theory to open quantum systems for transport calculations.
- To investigate the Hall conductance of specific topological insulator models in the presence of environmental coupling.
Main Methods:
- Development of a novel formalism for quantum transport in open systems.
- Application of linear response theory adapted for decoherent environments.
- Derivation of Hall conductance formulas for coupled topological insulator-environment systems.
Main Results:
- A generalized Kubo formula applicable to decoherent quantum systems.
- The derived formalism successfully predicts Hall conductance for a two-band topological insulator.
- Analysis of a two-dimensional lattice model demonstrates the influence of environmental coupling on Hall conductance.
Conclusions:
- Decoherence significantly impacts the Hall conductivity of topological insulators.
- The developed theory provides a robust tool for studying quantum transport in realistic, open systems.
- This work opens new avenues for understanding and designing topological materials with tailored electronic properties.
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