Nonequilibrium Green’s function techniques in current–voltage calculations of nanoscale materials

Yang, Zhiwen; Hu, Chuanzheng; Meng, Qingyong

doi:10.1007/s12648-012-0124-0

Cited by 8 publications

(2 citation statements)

References 126 publications

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“…Where 𝑡 𝐿 ′ (𝑡 𝑅 ′ ) is hopping amplitude between graphene sample and left (right) lead (for i=0 and N). The spin-up (↑) current plus the spin-down (↓) current is total current [16][17][18][19] as:…”

Section: Methodsmentioning

confidence: 99%

Investigation of quantum transport and local density of states in a graphene strip connected to a square lattice

Rostampour

2022

Preprint

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We theoretically express quantum transport at Dirac points via graphene quantum billiard as a non-magnetic material to connect metallic leads. Our results indicate that the quantum billiard of graphene is similar to a resonant tunneling device. The centerpiece size and the Fermi energy of the graphene quantum billiard play an important role in resonant tunneling. In graphene, a change of carrier density can affect plasmon polaritons. At the Dirac point, the conductivity of graphene depends on the geometry, so that the conduction of the evanescent modes is close to the theoretical value of 4e2/πh (where Planck's constant and the electron charge are denoted by h and e, respectively.). This transport property can be used to justify chaotic quantum systems and ballistic transistors. Our theoretical results demonstrate that the local density of state of the graphene sheet for \({ϵ}_{L}={ϵ}_{R}=0\) is larger than \({ϵ}_{L}={ϵ}_{R}=t\) (where \({ϵ}_{L}\))\({ϵ}_{R}\)( is onsite energy of the left (right) metallic lead) unlike the current obtained from the calculations.

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Section: Methodsmentioning

confidence: 99%

Investigation of quantum transport and local density of states in a graphene strip connected to a square lattice

Rostampour

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Where ′ ( ′ ) is hopping amplitude between graphene sample and left (right) lead (for i=0 and N). The spin-up (↑) current plus the spin-down (↓) current is total current [16][17][18][19] as:…”

Section: Methodsmentioning

confidence: 99%

Investigation of quantum transport and local density of states in a graphene strip connected to a square lattice

Rostampour

2021

Preprint

View full text Add to dashboard Cite

We theoretically express quantum transport at Dirac points via graphene quantum billiard as a non-magnetic material to connect metallic leads. Our results indicate that the quantum billiard of graphene is similar to a resonant tunnelling device. The centerpiece size and the Fermi energy of the graphene quantum billiard play an important role in the resonant tunnelling. In graphene, change of carrier density can affect plasmon polaritons. At the Dirac point, the conductivity of graphene depends on the geometry, so that the conduction of the evanescent modes is close to the theoretical value of 4e2/πh (where Planck's constant and the electron charge are denoted by h and e, respectively.). This transport property can be used to justify chaotic quantum systems and ballistic transistors. Our theoretical results demonstrate that the local density of state of the graphene sheet for EL = ER = 0 is larger than EL = ER = t (where EL (ER) is onsite energy of the left (right) metallic lead) unlike the current obtained from the calculations.

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T-matrix approach for graphene in 2-D scalar potential

2013

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Nonequilibrium Green’s function techniques in current–voltage calculations of nanoscale materials

Cited by 8 publications

References 126 publications

Investigation of quantum transport and local density of states in a graphene strip connected to a square lattice

Investigation of quantum transport and local density of states in a graphene strip connected to a square lattice

Investigation of quantum transport and local density of states in a graphene strip connected to a square lattice

T-matrix approach for graphene in 2-D scalar potential

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