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Relativistic quantum chaos-An emergent interdisciplinary field
Ying-Cheng Lai1, Hong-Ya Xu1, Liang Huang2
1School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, Arizona 85287, USA.
Chaos (Woodbury, N.Y.)
|June 3, 2018
Summary
Relativistic quantum chaos explores quantum chaos in systems described by the Dirac equation, unlike traditional Schrödinger systems. Understanding this interplay may enhance Dirac material device performance.
Area of Science:
- Quantum mechanics
- Condensed matter physics
- Chaos theory
Background:
- Classical chaos studies quantum manifestations in nonrelativistic systems (Schrödinger equation).
- Emergence of Dirac materials (graphene, topological insulators) necessitates relativistic quantum mechanics (Dirac equation).
- A new field, relativistic quantum chaos, bridges these areas.
Purpose of the Study:
- Introduce relativistic quantum chaos to the scientific community.
- Highlight key phenomena in the relativistic quantum regime.
- Explore potential applications in advanced electronic and spintronic devices.
Main Methods:
- Review of theoretical concepts and phenomena in relativistic quantum chaos.
- Discussion of scarring, chaotic scattering, and transport.
- Analysis of chaos-regularized resonant tunneling and superpersistent currents.
Main Results:
- Identification of unique quantum chaos signatures in relativistic systems.
- Exploration of energy level statistics in the relativistic quantum regime.
- Connection between relativistic quantum chaos and Dirac material properties.
Conclusions:
- Relativistic quantum chaos is a rapidly developing field with significant implications.
- Understanding this field can lead to novel design principles for Dirac material devices.
- Potential for enhancing performance in solid-state electronics and spintronics.
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