Charge transport in two dimensions limited by strong
short-range scatterers: Going beyond parabolic dispersion and
Born approximation

J 2014

Charge transport in two dimensions limited by strong short-range scatterers: Going beyond parabolic dispersion and Born approximation

ŠOPÍK, Břetislav, J. KAILASVUORI and M. TRUSHIN

Basic information

Original name

Charge transport in two dimensions limited by strong short-range scatterers: Going beyond parabolic dispersion and Born approximation

Authors

ŠOPÍK, Břetislav (203 Czech Republic, guarantor, belonging to the institution), J. KAILASVUORI (276 Germany) and M. TRUSHIN (276 Germany)

Edition

Physical Review B, Maryland (USA), The American Physical Society, 2014, 1098-0121

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10302 Condensed matter physics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL

Impact factor

Impact factor: 3.736

RIV identification code

RIV/00216224:14740/14:00079371

Organization unit

Central European Institute of Technology

DOI

http://dx.doi.org/10.1103/PhysRevB.89.165308

UT WoS

000345631400001

Keywords in English

SINGLE DIRAC CONE; TRILAYER GRAPHENE; RHOMBOHEDRAL GRAPHITE; TOPOLOGICAL-INSULATOR; BILAYER GRAPHENE; BAND STRUCTURE; BERRYS PHASE; GAP; FERMIONS; SURFACE

Abstract

V originále

We investigate the conductivity of charge carriers confined to a two-dimensional system with the nonparabolic dispersion k(N) with N being an arbitrary natural number. A delta-shaped scattering potential is assumed as the major source of disorder. We employ the exact solution of the Lippmann-Schwinger equation to derive an analytical Boltzmann conductivity formula valid for an arbitrary scattering potential strength. The range of applicability of our analytical results is assessed by a numerical study based on the finite size Kubo formula. We find that for any N > 1, the conductivity demonstrates a linear dependence on the carrier concentration in the limit of a strong scattering potential strength. This finding agrees with the conductivity measurements performed recently on chirally stacked multilayer graphene where the lowest two bands are nonparabolic and the adsorbed hydrocarbons might act as strong short-range scatterers.

Links

EE2.3.30.0009, research and development project

Name: Zaměstnáním čerstvých absolventů doktorského studia k vědecké excelenci

Citovat

ŠOPÍK, Břetislav, J. KAILASVUORI and M. TRUSHIN. Charge transport in two dimensions limited by strong short-range scatterers: Going beyond parabolic dispersion and Born approximation. Physical Review B. Maryland (USA): The American Physical Society, 2014, vol. 89, No 16, p. "nestránkováno", 7 pp. ISSN 1098-0121. Available from: https://dx.doi.org/10.1103/PhysRevB.89.165308.

@article{1229084,
   author = {Šopík, Břetislav and Kailasvuori, J. and Trushin, M.},
   article_location = {Maryland (USA)},
   article_number = {16},
   doi = {http://dx.doi.org/10.1103/PhysRevB.89.165308},
   keywords = {SINGLE DIRAC CONE; TRILAYER GRAPHENE; RHOMBOHEDRAL GRAPHITE; TOPOLOGICAL-INSULATOR; BILAYER GRAPHENE; BAND STRUCTURE; BERRYS PHASE; GAP; FERMIONS; SURFACE},
   language = {eng},
   issn = {1098-0121},
   journal = {Physical Review B},
   title = {Charge transport in two dimensions limited by strong short-range scatterers: Going beyond parabolic dispersion and Born approximation},
   url = {http://arxiv.org/pdf/1401.6178v2.pdf},
   volume = {89},
   year = {2014}
}

TY  - JOUR
ID  - 1229084
AU  - Šopík, Břetislav - Kailasvuori, J. - Trushin, M.
PY  - 2014
TI  - Charge transport in two dimensions limited by strong short-range scatterers: Going beyond parabolic dispersion and Born approximation
JF  - Physical Review B
VL  - 89
IS  - 16
SP  - "nestránkováno"
EP  - "nestránkováno"
PB  - The American Physical Society
SN  - 10980121
KW  - SINGLE DIRAC CONE
KW  - TRILAYER GRAPHENE
KW  - RHOMBOHEDRAL GRAPHITE
KW  - TOPOLOGICAL-INSULATOR
KW  - BILAYER GRAPHENE
KW  - BAND STRUCTURE
KW  - BERRYS PHASE
KW  - GAP
KW  - FERMIONS
KW  - SURFACE
UR  - http://arxiv.org/pdf/1401.6178v2.pdf
L2  - http://arxiv.org/pdf/1401.6178v2.pdf
N2  - We investigate the conductivity of charge carriers confined to a two-dimensional system with the nonparabolic dispersion k(N) with N being an arbitrary natural number. A delta-shaped scattering potential is assumed as the major source of disorder. We employ the exact solution of the Lippmann-Schwinger equation to derive an analytical Boltzmann conductivity formula valid for an arbitrary scattering potential strength. The range of applicability of our analytical results is assessed by a numerical study based on the finite size Kubo formula. We find that for any N > 1, the conductivity demonstrates a linear dependence on the carrier concentration in the limit of a strong scattering potential strength. This finding agrees with the conductivity measurements performed recently on chirally stacked multilayer graphene where the lowest two bands are nonparabolic and the adsorbed hydrocarbons might act as strong short-range scatterers.
ER  -

ŠOPÍK, Břetislav, J. KAILASVUORI and M. TRUSHIN. Charge transport in two dimensions limited by strong short-range scatterers: Going beyond parabolic dispersion and Born approximation. \textit{Physical Review B}. Maryland (USA): The American Physical Society, 2014, vol.~89, No~16, p.~''nestránkováno'', 7 pp. ISSN~1098-0121. Available from: https://dx.doi.org/10.1103/PhysRevB.89.165308.

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