Time dependent behavior of a localized electron at a heterojunction boundary of graphene

Min Seok Jang; Hyungjun Kim; Harry A. Atwater; William A. Goddard

doi:10.1063/1.3454909

Time dependent behavior of a localized electron at a heterojunction boundary of graphene

Min Seok Jang
, Hyungjun Kim
, Harry A. Atwater
, William A. Goddard

California Institute of Technology Division of Engineering and Applied Science
Materials and Process Simulation Center
Beckman Institute
Center for Materials Simulations and Design
Korea Advanced Institute of Science and Technology

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

We develop a finite-difference time-domain (FDTD) method for simulating the dynamics of graphene electrons, denoted GraFDTD. We then use GraFDTD to study the temporal behavior of a single localized electron wave packet, showing that it exhibits optical-like dynamics including the Goos-Hänchen effect [F. Goos and H. Hänchen, Ann. Phys. 436, 333 (1947)] at a heterojunction, but the behavior is quantitatively different than for electromagnetic waves. This suggests issues that must be addressed in designing graphene-based electronic devices analogous to optical devices. GraFDTD should be useful for studying such complex time-dependent behavior of a quasiparticle in graphene.

Original language	English
Article number	043504
Journal	Applied Physics Letters
Volume	97
Issue number	4
DOIs	https://doi.org/10.1063/1.3454909
Publication status	Published - 26 Jul 2010
Externally published	Yes

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10.1063/1.3454909

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title = "Time dependent behavior of a localized electron at a heterojunction boundary of graphene",

abstract = "We develop a finite-difference time-domain (FDTD) method for simulating the dynamics of graphene electrons, denoted GraFDTD. We then use GraFDTD to study the temporal behavior of a single localized electron wave packet, showing that it exhibits optical-like dynamics including the Goos-H{\"a}nchen effect [F. Goos and H. H{\"a}nchen, Ann. Phys. 436, 333 (1947)] at a heterojunction, but the behavior is quantitatively different than for electromagnetic waves. This suggests issues that must be addressed in designing graphene-based electronic devices analogous to optical devices. GraFDTD should be useful for studying such complex time-dependent behavior of a quasiparticle in graphene.",

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AU - Jang, Min Seok

AU - Kim, Hyungjun

AU - Atwater, Harry A.

AU - Goddard, William A.

PY - 2010/7/26

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N2 - We develop a finite-difference time-domain (FDTD) method for simulating the dynamics of graphene electrons, denoted GraFDTD. We then use GraFDTD to study the temporal behavior of a single localized electron wave packet, showing that it exhibits optical-like dynamics including the Goos-Hänchen effect [F. Goos and H. Hänchen, Ann. Phys. 436, 333 (1947)] at a heterojunction, but the behavior is quantitatively different than for electromagnetic waves. This suggests issues that must be addressed in designing graphene-based electronic devices analogous to optical devices. GraFDTD should be useful for studying such complex time-dependent behavior of a quasiparticle in graphene.

AB - We develop a finite-difference time-domain (FDTD) method for simulating the dynamics of graphene electrons, denoted GraFDTD. We then use GraFDTD to study the temporal behavior of a single localized electron wave packet, showing that it exhibits optical-like dynamics including the Goos-Hänchen effect [F. Goos and H. Hänchen, Ann. Phys. 436, 333 (1947)] at a heterojunction, but the behavior is quantitatively different than for electromagnetic waves. This suggests issues that must be addressed in designing graphene-based electronic devices analogous to optical devices. GraFDTD should be useful for studying such complex time-dependent behavior of a quasiparticle in graphene.

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JF - Applied Physics Letters

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Time dependent behavior of a localized electron at a heterojunction boundary of graphene

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