Published July 31, 2009 | Version v1
Journal article

Relativistic Quantum Scars

  • 1. Department of Electrical Engineering, Arizona State University, Tempe, Arizona 85287 (United States)
  • 2. Department of Physics, Arizona State University, Tempe, Arizona 85287 (United States)
  • 3. Center for Solid State Electronics Research, Arizona State University, Tempe, Arizona 85287 (United States)

Description

The concentrations of wave functions about classical periodic orbits, or quantum scars, are a fundamental phenomenon in physics. An open question is whether scarring can occur in relativistic quantum systems. To address this question, we investigate confinements made of graphene whose classical dynamics are chaotic and find unequivocal evidence of relativistic quantum scars. The scarred states can lead to strong conductance fluctuations in the corresponding open quantum dots via the mechanism of resonant transmission.

Additional details

Publishing Information

Journal Title
Physical Review Letters
Journal Volume
103
Journal Issue
5
Journal Page Range
p. 054101-054101.4
ISSN
0031-9007
CODEN
PRLTAO

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41101065
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S77: NANOSCIENCE AND NANOTECHNOLOGY;
Descriptors DEI
CHAOS THEORY; PERIODICITY; QUANTUM DOTS; QUANTUM MECHANICS; RELATIVISTIC RANGE; WAVE FUNCTIONS
Descriptors DEC
ENERGY RANGE; FUNCTIONS; MATHEMATICS; MECHANICS; NANOSTRUCTURES; VARIATIONS

Optional Information

Notes
(c) 2009 The American Physical Society