Time and energy dependent dynamics of the STM tip - Graphene system

P. Vancsó, G. Márk, Ph Lambin, C. Hwang, L. Bíró

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Probability current and probability density of wave packets was calculated by solving the three dimensional time-dependent Schrödinger equation for a local potential model of the scanning tunneling microscope (STM) tip - graphene system. Geometrical and electronic structure effects of the three dimensional tunneling process are identified by studying three models of increasing complexity: a jellium half space, a narrow jellium sheet, and a local one electron pseudopotential. It was found that some of the key characteristics of the STM tip - graphene tunneling process are already present at the simple jellium models. In the STM tip - jellium half space system the direction of the momentum does not change during the tunneling event, hence this setup is characterised by introducing an effective distance. For the STM tip - narrow jellium sheet system the direction of the momentum is changed from vertical to horizontal during the tunneling event. The wave packet preferentially tunnels into the bound state of the jellium sheet. For the atomistic model of the graphene sheet an anisotropic spreading of the wave packet was found for hot electrons. This may open new opportunities to build carbon based nanoelectronic devices.

Original languageEnglish
Article number142
JournalEuropean Physical Journal B
Volume85
Issue number4
DOIs
Publication statusPublished - Apr 2012

Fingerprint

Graphite
Wave packets
Graphene
graphene
Microscopes
microscopes
Scanning
scanning
Momentum
wave packets
Nanoelectronics
energy
Hot electrons
half spaces
Electronic structure
Tunnels
Carbon
momentum
Electrons
hot electrons

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Time and energy dependent dynamics of the STM tip - Graphene system. / Vancsó, P.; Márk, G.; Lambin, Ph; Hwang, C.; Bíró, L.

In: European Physical Journal B, Vol. 85, No. 4, 142, 04.2012.

Research output: Contribution to journalArticle

@article{84448823375142b8a66c314009a99e66,
title = "Time and energy dependent dynamics of the STM tip - Graphene system",
abstract = "Probability current and probability density of wave packets was calculated by solving the three dimensional time-dependent Schr{\"o}dinger equation for a local potential model of the scanning tunneling microscope (STM) tip - graphene system. Geometrical and electronic structure effects of the three dimensional tunneling process are identified by studying three models of increasing complexity: a jellium half space, a narrow jellium sheet, and a local one electron pseudopotential. It was found that some of the key characteristics of the STM tip - graphene tunneling process are already present at the simple jellium models. In the STM tip - jellium half space system the direction of the momentum does not change during the tunneling event, hence this setup is characterised by introducing an effective distance. For the STM tip - narrow jellium sheet system the direction of the momentum is changed from vertical to horizontal during the tunneling event. The wave packet preferentially tunnels into the bound state of the jellium sheet. For the atomistic model of the graphene sheet an anisotropic spreading of the wave packet was found for hot electrons. This may open new opportunities to build carbon based nanoelectronic devices.",
author = "P. Vancs{\'o} and G. M{\'a}rk and Ph Lambin and C. Hwang and L. B{\'i}r{\'o}",
year = "2012",
month = "4",
doi = "10.1140/epjb/e2012-20458-y",
language = "English",
volume = "85",
journal = "Zeitschrift für Physik B Condensed Matter and Quanta",
issn = "1434-6028",
publisher = "Springer New York",
number = "4",

}

TY - JOUR

T1 - Time and energy dependent dynamics of the STM tip - Graphene system

AU - Vancsó, P.

AU - Márk, G.

AU - Lambin, Ph

AU - Hwang, C.

AU - Bíró, L.

PY - 2012/4

Y1 - 2012/4

N2 - Probability current and probability density of wave packets was calculated by solving the three dimensional time-dependent Schrödinger equation for a local potential model of the scanning tunneling microscope (STM) tip - graphene system. Geometrical and electronic structure effects of the three dimensional tunneling process are identified by studying three models of increasing complexity: a jellium half space, a narrow jellium sheet, and a local one electron pseudopotential. It was found that some of the key characteristics of the STM tip - graphene tunneling process are already present at the simple jellium models. In the STM tip - jellium half space system the direction of the momentum does not change during the tunneling event, hence this setup is characterised by introducing an effective distance. For the STM tip - narrow jellium sheet system the direction of the momentum is changed from vertical to horizontal during the tunneling event. The wave packet preferentially tunnels into the bound state of the jellium sheet. For the atomistic model of the graphene sheet an anisotropic spreading of the wave packet was found for hot electrons. This may open new opportunities to build carbon based nanoelectronic devices.

AB - Probability current and probability density of wave packets was calculated by solving the three dimensional time-dependent Schrödinger equation for a local potential model of the scanning tunneling microscope (STM) tip - graphene system. Geometrical and electronic structure effects of the three dimensional tunneling process are identified by studying three models of increasing complexity: a jellium half space, a narrow jellium sheet, and a local one electron pseudopotential. It was found that some of the key characteristics of the STM tip - graphene tunneling process are already present at the simple jellium models. In the STM tip - jellium half space system the direction of the momentum does not change during the tunneling event, hence this setup is characterised by introducing an effective distance. For the STM tip - narrow jellium sheet system the direction of the momentum is changed from vertical to horizontal during the tunneling event. The wave packet preferentially tunnels into the bound state of the jellium sheet. For the atomistic model of the graphene sheet an anisotropic spreading of the wave packet was found for hot electrons. This may open new opportunities to build carbon based nanoelectronic devices.

UR - http://www.scopus.com/inward/record.url?scp=84862013450&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84862013450&partnerID=8YFLogxK

U2 - 10.1140/epjb/e2012-20458-y

DO - 10.1140/epjb/e2012-20458-y

M3 - Article

VL - 85

JO - Zeitschrift für Physik B Condensed Matter and Quanta

JF - Zeitschrift für Physik B Condensed Matter and Quanta

SN - 1434-6028

IS - 4

M1 - 142

ER -