Ballistic transport in graphene beyond linear response

B. Rosenstein, M. Lewkowicz, Hsien-Chung Kao, Y. Korniyenko

Research output: Contribution to journalArticle

51 Citations (Scopus)

Abstract

The process of coherent creation of particle-hole excitations by an electric field in graphene is quantitatively described beyond linear response. We calculate the evolution of current density, number of pairs and energy in ballistic regime for electric field E using the tight-binding model. While for ballistic flight times smaller than tnl E-1/2 current is linear in E and independent of time, for larger ballistic times the current increases after tnl as J E3/2 t and finally at yet larger times (t> tB E-1) Bloch oscillations set in. It is shown that the number of pairs follows the 2D generalization of the Schwinger's creation rate n E3/2 only on certain time segments with a prefactor different from that obtained using the asymptotic formula.

Original languageEnglish
Article number041416
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume81
Issue number4
DOIs
Publication statusPublished - 2010 Jan 29

Fingerprint

Graphite
Ballistics
Graphene
ballistics
graphene
Electric fields
flight time
electric fields
Current density
current density
oscillations
excitation
energy

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Ballistic transport in graphene beyond linear response. / Rosenstein, B.; Lewkowicz, M.; Kao, Hsien-Chung; Korniyenko, Y.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 81, No. 4, 041416, 29.01.2010.

Research output: Contribution to journalArticle

@article{5f980f70f19c4f948b4cb3dd6f3ff039,
title = "Ballistic transport in graphene beyond linear response",
abstract = "The process of coherent creation of particle-hole excitations by an electric field in graphene is quantitatively described beyond linear response. We calculate the evolution of current density, number of pairs and energy in ballistic regime for electric field E using the tight-binding model. While for ballistic flight times smaller than tnl E-1/2 current is linear in E and independent of time, for larger ballistic times the current increases after tnl as J E3/2 t and finally at yet larger times (t> tB E-1) Bloch oscillations set in. It is shown that the number of pairs follows the 2D generalization of the Schwinger's creation rate n E3/2 only on certain time segments with a prefactor different from that obtained using the asymptotic formula.",
author = "B. Rosenstein and M. Lewkowicz and Hsien-Chung Kao and Y. Korniyenko",
year = "2010",
month = "1",
day = "29",
doi = "10.1103/PhysRevB.81.041416",
language = "English",
volume = "81",
journal = "Physical Review B",
issn = "2469-9950",
publisher = "American Physical Society",
number = "4",

}

TY - JOUR

T1 - Ballistic transport in graphene beyond linear response

AU - Rosenstein, B.

AU - Lewkowicz, M.

AU - Kao, Hsien-Chung

AU - Korniyenko, Y.

PY - 2010/1/29

Y1 - 2010/1/29

N2 - The process of coherent creation of particle-hole excitations by an electric field in graphene is quantitatively described beyond linear response. We calculate the evolution of current density, number of pairs and energy in ballistic regime for electric field E using the tight-binding model. While for ballistic flight times smaller than tnl E-1/2 current is linear in E and independent of time, for larger ballistic times the current increases after tnl as J E3/2 t and finally at yet larger times (t> tB E-1) Bloch oscillations set in. It is shown that the number of pairs follows the 2D generalization of the Schwinger's creation rate n E3/2 only on certain time segments with a prefactor different from that obtained using the asymptotic formula.

AB - The process of coherent creation of particle-hole excitations by an electric field in graphene is quantitatively described beyond linear response. We calculate the evolution of current density, number of pairs and energy in ballistic regime for electric field E using the tight-binding model. While for ballistic flight times smaller than tnl E-1/2 current is linear in E and independent of time, for larger ballistic times the current increases after tnl as J E3/2 t and finally at yet larger times (t> tB E-1) Bloch oscillations set in. It is shown that the number of pairs follows the 2D generalization of the Schwinger's creation rate n E3/2 only on certain time segments with a prefactor different from that obtained using the asymptotic formula.

UR - http://www.scopus.com/inward/record.url?scp=77954828733&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77954828733&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.81.041416

DO - 10.1103/PhysRevB.81.041416

M3 - Article

VL - 81

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 4

M1 - 041416

ER -