Relativistic Quantum Transport in Graphene Systems

Abstract

The principal Objective of the project was to exploit relativistic quantum manifestations of classical chaos in graphene and twodimensional Dirac fermion systems. Methods were developed to solve the Dirac equation in arbitrary domains. New phenomena uncovered include relativistic quantum scarring, chiral scars, chaos-based quantum control, and chaos-regularized relativistic quantum tunneling, etc. The AFOSR support helped create a new field of interdisciplinary research: Relativistic Quantum Chaos, which studies the relativistic quantum manifestations of classical chaos with applications with implications to the development of next generation of nanoscale electronic devices and circuits based on graphene and alternative two dimensional Dirac materials. The AFOSR project resulted in 20 refereed-journal papers, including papers in high-impact journals such as Physical Review Letters, and provided PI with the opportunity to supervise a number of PhD students: two graduated, one to graduate in 2016, and two ongoing. PI gave about a dozen plenary lectures, seminars, and colloquiums all over the world on relativistic quantum chaos.

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Document Details

Document Type
Technical Report
Publication Date
Jul 09, 2015
Accession Number
ADA621872

Entities

People

  • Ying-Cheng Lai

Organizations

  • Arizona State University

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Dirac Equation
  • Electrical Engineering
  • Electrons
  • Energy Bands
  • Equations
  • Geometry
  • Information Processing
  • Information Science
  • Materials Laboratories
  • Materials Science
  • Nonlinear Dynamics
  • Quantum Mechanics
  • Quantum Tunneling
  • Scattering
  • Standing Waves
  • Subatomic Particles
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Nanocomposite Materials Science
  • Technical Research and Report Writing.
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Microelectronics
  • Microelectronics - Graphene
  • Quantum Computing