Driven quantum transport on the nanoscale

Kohler, Sigmund; Lehmann, Jörg; Hänggi, Peter

doi:10.1016/j.physrep.2004.11.002

Cited by 750 publications

(937 citation statements)

References 209 publications

(458 reference statements)

Supporting

Mentioning

922

Contrasting

Unclassified

Order By: Relevance

“…[19][20][21] ). When the original Hamiltonian of the two band system is given by a Bloch Hamiltonian H orig (k), the time dependent Hamiltonian of the system driven by E(t) = Ee −iωt + E * e iωt is given by…”

Section: Nonlinear Optical Effects and Floquet Approachmentioning

confidence: 99%

See 1 more Smart Citation

Semiclassical theory of nonlinear magneto-optical responses with applications to topological Dirac/Weyl semimetals

et al. 2016

View full text Add to dashboard Cite

We study nonlinear magneto-optical responses of metals by a semiclassical Boltzmann equation approach. We derive general formulas for linear and second order nonlinear optical effects in the presence of magnetic fields that include both Berry curvature and orbital magnetic moment. Applied to Weyl fermions, the semiclassical approach (i) captures the directional anisotropy of linear conductivity under magnetic field as a consequence of an anisotropic B 2 contribution, which may explain the low-field regime of recent experiments; (ii) predicts strong second harmonic generation proportional to B that is enhanced as the Fermi energy approaches the Weyl point, leading to large nonlinear Kerr rotation. Moreover, we show that the semiclassical formula for the circular photogalvanic effect arising from the Berry curvature dipole is reproduced by a full quantum calculation using a Floquet approach.

show abstract

Section: Nonlinear Optical Effects and Floquet Approachmentioning

confidence: 99%

“…Now we study dc current in the x-direction induced by circularly polarized light for the steady state described by the Floquet state in Eq. (20). The velocity operator in the x-direction is written up to linear order in A aŝ…”

Section: Nonlinear Optical Effects and Floquet Approachmentioning

confidence: 99%

Semiclassical theory of nonlinear magneto-optical responses with applications to topological Dirac/Weyl semimetals

et al. 2016

View full text Add to dashboard Cite

show abstract

“…It has been found that the irradiation of a periodically oscillating THz wave causes photon-mediated tunneling in quantum wells (QWs), superlattices (SLs), and Wannier-Stark ladders (WSLs). In particular, the application of an appropriately controlled periodic drive to these systems brings quantum transport and diffusion to an almost complete stop [5]. In THz-driven SLs and WSLs, the latter of which are also called as dynamic WSLs (DWSLs), such spatial localization, called as dynamic localization (DL), is characterized by the collapse of quasienergy minibands [6,7].…”

Section: Introductionmentioning

confidence: 99%

Instability of dynamic localization in the intense terahertz-driven semiconductor Wannier-Stark ladder due to the dynamic Fano resonance

et al. 2010

View full text Add to dashboard Cite

The lifetime of an electronic Floquet state in a semiconductor Wannier-Stark ladder (WSL) driven by an intense monochromatic THz wave is examined based on the R-matrix Floquet theory, in which an excess density of state (DOS) corresponding to the lifetime is calculated. It is revealed that the dynamic localization (DL) characteristic of this system is unstable against Fano resonance (FR)-like inter-miniband decay mechanism caused by THz-mediated ac-Zener tunneling; in this study, this is termed as dynamic Fano resonance (DFR). The DFR is considered to be a new FR mechanism characterized by both tunable ac-ZT coupling and coexistence with shape resonance.The result obtained here is in sharp contrast with the conventional understanding without the introduction of DFR, in which the DL is very stable such that its lifetime is comparable to or greater than that of the associated WSL. It is found that the DFR mechanism generally becomes more dominant with an increase in the strength of the bias field. Further, we discuss the observation that the spectral pattern of the excess DOS is more involved for a single-photon resonant transition, namely, Ω = ω, than that for a two-photon resonant transition, namely, Ω = 2ω, where Ω and ω represent a Bloch frequency and a THz frequency, respectively. In addition, the criterion for the applicability of the DFR to the present system is also obtained.

show abstract

“…Apparently, such a transmission can also be considered as an elastic tunneling process [5,12,13]. Recent extensions of the Landauer theory also include inelastic tunneling processes [14,15]. An approximate effective Landauer approach that accounts for inelastic phonon processes has been studied in Refs.…”

Section: Introductionmentioning

confidence: 99%

Kinetic control of the current through a single molecule

et al. 2006

View full text Add to dashboard Cite

A unified description is put forward for the electron transmission through a molecule that is attached to two leads with the molecule being characterized by a single level to be populated by the transferred electrons. In deriving the expression for the current the Coulomb interaction is accounted for between the two extra electrons that may occupy the molecular level. The formation of two distinct transmission channels associated with the neutral and the singly charged molecule can directly be related to this interaction. Moreover, each transmission channel comprises a sequential as well as a direct (tunneling) pathway. The first pathway is realized via hopping transitions between the molecule and the neighboring electrodes. Just this inelastic kinetic process is responsible for the kinetic charging of the molecule. Then, the second pathway takes place against the background of kinetic molecular charging. In particular, it is demonstrated that hopping transmissions which are asymmetric with respect to the two electrodes cause a kinetic current rectification. The transient population of the molecule, realized by the transferred electrons, determines the rectification; the latter becomes rather large for resonant transmission.

show abstract

Driven quantum transport on the nanoscale

Cited by 750 publications

References 209 publications

Semiclassical theory of nonlinear magneto-optical responses with applications to topological Dirac/Weyl semimetals

Semiclassical theory of nonlinear magneto-optical responses with applications to topological Dirac/Weyl semimetals

Instability of dynamic localization in the intense terahertz-driven semiconductor Wannier-Stark ladder due to the dynamic Fano resonance

Kinetic control of the current through a single molecule

Contact Info

Product

Resources

About