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Universality classes in Coulomb blockade conductance peak-height statistics
Dayasindhu Dey1, Pragya Shukla1
1Department of Physics, Indian Institute of Technology, Kharagpur 721302, West Bengal, India.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 11, 2014
Summary
We studied conductance peak heights in quantum dots. The distribution depends on contact properties and dot complexity, revealing new universality classes for conductance statistics.
Area of Science:
- Condensed Matter Physics
- Quantum Computing
Background:
- Quantum dots are crucial for quantum computing applications.
- Understanding electron transport in quantum dots is key to device performance.
Purpose of the Study:
- To investigate the distribution of conductance peak heights in the Coulomb blockade regime of a quantum dot.
- To identify the key parameters influencing this distribution.
Main Methods:
- Utilizing exact diagonalization techniques.
- Analyzing a quantum dot connected to two leads under generic conditions.
Main Results:
- The conductance peak height distribution depends on three parameters: two dot-lead contact characteristics and a complexity parameter.
- An infinite range of universality classes for conductance statistics was identified.
- These classes are primarily characterized by the complexity parameter and global symmetry constraints.
Conclusions:
- The findings provide a deeper understanding of electron transport in quantum dots.
- This research contributes to the development of more robust quantum devices.
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