Vibrational instabilities in resonant electron transport through single-molecule junctions

Härtle, R.; Thoss, Michael

doi:10.1103/physrevb.83.125419

Cited by 114 publications

(296 citation statements)

References 82 publications

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“…43,[50][51][52] Moreover, the non-equilibrium phonon distribution itself has been found to possess non-trivial properties. 51,[53][54][55][56] These results clearly promotes investigations of electron-photon analogs of electron-phonon phenomena, performed in strongly coupled conductor-cavity systems.…”

Section: Introductionmentioning

confidence: 85%

“…(30), the photon distribution and hence the population is not convergent for charge degeneracy, ∆E C = 0, in the limit of couplings, λ 1 ≪ 1, for voltages above the first onset of photon emission. 51,55 This is because the rate for going from a state with n to a state with n + 1 photons is equal to the rate for the opposite process, which gives an equal probability of all photon states. In metallic dot the processes n + 1 → n has larger rate than n → n + 1, as discussed in detail in Appendix C.…”

Section: A Single-modementioning

confidence: 99%

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Microwave quantum optics and electron transport through a metallic dot strongly coupled to a transmission line cavity

Bergenfeldt

Samuelsson

2012

Phys. Rev. B

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We investigate theoretically the properties of the photon state and the electronic transport in a system consisting of a metallic quantum dot strongly coupled to a superconducting microwave transmission line cavity. Within the framework of circuit quantum electrodynamics we derive a Hamiltonian for arbitrary strong capacitive coupling between the dot and the cavity. The dynamics of the system is described by a quantum master equation, accounting for the electronic transport as well as the coherent, non-equilibrium properties of the photon state. The photon state is investigated, focusing on, for a single active mode, signatures of microwave polaron formation and the effects of a non-equilibrium photon distribution. For two active photon modes, intra mode conversion and polaron coherences are investigated. For the electronic transport, electrical current and noise through the dot and the influence of the photon state on the transport properties are at the focus. We identify clear transport signatures due to the non-equilibrium photon population, in particular the emergence of superpoissonian shot-noise at ultrastrong dot-cavity couplings.

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Section: Introductionmentioning

confidence: 85%

Section: A Single-modementioning

confidence: 99%

Microwave quantum optics and electron transport through a metallic dot strongly coupled to a transmission line cavity

Bergenfeldt

Samuelsson

2012

Phys. Rev. B

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“…If one also takes |J| = 1 2 |U ′ − U| to be small, then the low-lying molecular states will contain only a weak admixture of components havingn b > 0, where (as before)n b is the number operator for the transformed boson mode defined in Eq. (32). Under this simplifying assumption (which we re-examine in Sec.…”

Section: Isolated Moleculementioning

confidence: 99%

“…[28][29][30] Single-molecule junctions therefore provide a valuable opportunity to study charge transfer in systems with strong competing interactions. 31,32 It has recently been demonstrated that the energies of the molecular orbitals in a single-molecule junction can be tuned relative to the Fermi energy of the electrodes by varying the voltage applied to a capacitively coupled gate. 33 Similar control has for some time been available in another class of nanoelectronic device: a quantum dot coupled to a twodimensional electron gas.…”

Section: Introductionmentioning

confidence: 99%

Effects of electron-phonon coupling in the Kondo regime of a two-orbital molecule

et al. 2013

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We study the interplay between strong electron-electron and electron-phonon interactions within a two-orbital molecule coupled to metallic leads, taking into account Holstein-like coupling of a local phonon mode to the molecular charge as well as phonon-mediated interorbital tunneling. By combining canonical transformations with numerical renormalization-group calculations to address the interactions nonperturbatively and on equal footing, we obtain a comprehensive description of the system's many-body physics in the anti-adiabatic regime where the phonons adjust rapidly to changes in the orbital occupancies, and are thereby able to strongly affect the Kondo physics. The electron-phonon interactions strongly modify the bare orbital energies and the Coulomb repulsion between electrons in the molecule, and tend to inhibit tunneling of electrons between the molecule and the leads. The consequences of these effects are considerably more pronounced when both molecular orbitals lie near the Fermi energy of the leads than when only one orbital is active. In situations where a local moment forms on the molecule, there is a crossover with increasing electron-phonon coupling from a regime of collective Kondo screening of the moment to a limit of local phonon quenching. At low temperatures, this crossover is associated with a rapid increase in the electronic occupancy of the molecule as well as a marked drop in the linear electrical conductance through the single-molecule junction.

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“…None of these couplings are assumed to be weak. Computationally, the exact master equation may be useful for the testing of various approximations (e.g., weak system-bath coupling, or weak electron-vibrational coupling, or weak inter-monomer coupling) which are frequently employed in theories of quantum transport [4,[24][25][26][27][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Exact quantum master equation for a molecular aggregate coupled to a harmonic bath

2011

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We consider a molecular aggregate consisting of N identical monomers. Each monomer comprises two electronic levels and a single harmonic mode. The monomers interact with each other via dipole-dipole forces. The monomer vibrational modes are bilinearly coupled to a bath of harmonic oscillators. This is a prototypical model for the description of coherent exciton transport, from quantum dots to photosynthetic antennae. We derive an exact quantum master equation for such systems. Computationally, the master equation may be useful for the testing of various approximations employed in theories of quantum transport. Physically, it offers a plausible explanation of the origins of long-lived coherent optical responses of molecular aggregates in dissipative environments.

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Vibrational instabilities in resonant electron transport through single-molecule junctions

Cited by 114 publications

References 82 publications

Microwave quantum optics and electron transport through a metallic dot strongly coupled to a transmission line cavity

Microwave quantum optics and electron transport through a metallic dot strongly coupled to a transmission line cavity

Effects of electron-phonon coupling in the Kondo regime of a two-orbital molecule

Exact quantum master equation for a molecular aggregate coupled to a harmonic bath

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