Effective field theory of interacting<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>π</mml:mi></mml:math>electrons

Barr, Joshua; Stafford, Charles; Bergfield, Justin P.

doi:10.1103/physrevb.86.115403

Cited by 13 publications

(26 citation statements)

References 70 publications

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“…After coarse graining, our free-system Hamiltonian H 0 is composed of three terms: the molecular Hamiltonian, quantum plasmon modes, and their couplings. The Hamiltonian of each term is given by respectively, where is the one-body portion of the molecular Hamiltonian, which may be renormalized by classical electrostatic 44 (e.g. image charge) or vibrational effects induced by the electrodes; U is the Coulomb integral, annihilates a (renormalized) phonon in mode l with energy ; λ is the electron-phonon coupling; and annihilates a plasmon in mode j with energy .…”

Section: Theoretical Modelmentioning

confidence: 99%

“…nm is the one-body portion of the molecular Hamiltonian, which may be renormalized by classical electrostatic 44 (e.g. image charge) or vibrational effects induced by the electrodes; U is the Coulomb integral, bl annihilates a (renormalized) phonon in mode l with energy h Ωl ; λ is the electron-phonon coupling; and ã j annihilates a plasmon in mode j with energy h ω j .…”

Section: Quantum Master Equationmentioning

confidence: 99%

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Signatures of Plexcitonic States in Molecular Electroluminescence

Bergfield

Hendrickson

2018

Sci Rep

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We develop a quantum master equation (QME) approach to investigate the electroluminesence (EL) of molecules confined between metallic electrodes and coupled to quantum plasmonic modes. Within our general state-based framework, we describe electronic tunneling, vibrational damping, environmental dephasing, and the quantum coherent dynamics of coupled quantum electromagnetic field modes. As an example, we calculate the STM-induced spontaneous emission of a tetraphenylporphyrin (TPP) molecule coupled to a nanocavity plasmon. In the weak molecular exciton-plasmon coupling regime we find excellent agreement with experiments, including above-threshold hot luminescence, an effect not described by previous semiclassical calculations. In the strong coupling regime, we analyze the spectral features indicative of the formation of plexcitonic states.

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Section: Theoretical Modelmentioning

confidence: 99%

Section: Quantum Master Equationmentioning

confidence: 99%

Signatures of Plexcitonic States in Molecular Electroluminescence

Bergfield

Hendrickson

2018

Sci Rep

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“…[36]. In the calculation of the tunneling matrix elements, the πorbitals of graphene are taken to be hydrogenic 2p z orbitals with an effective nuclear charge Z = 3.22 [38]. The tunneling-width matrix Γ p describing the probe-system coupling is in general non-diagonal.…”

Section: Probe-sample Couplingmentioning

confidence: 99%

Scanning Tunneling Thermometry

2020

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Temperature imaging of nanoscale systems is a fundamental problem which has myriad potential technological applications. For example, nanoscopic cold spots can be used for spot cooling electronic components while hot spots could be used for precise activation of chemical or biological reactions. More fundamentally, imaging the temperature fields in quantum coherent conductors can provide a wealth of information on heat flow and dissipation at the smallest scales. However, despite significant technological advances, the spatial resolution of temperature imaging remains in the few nanometers range. Here we propose a method to map electronic temperature variations in operating nanoscale conductors by relying solely upon electrical tunneling current measurements. The scanning tunneling thermometer, owing to its operation in the tunneling regime, would be capable of mapping subangstrom temperature variations, thereby enhancing the resolution of scanning thermometry by some two orders of magnitude.Thermal imaging of nanoscale systems is of crucial importance not only due to its potential to enable

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“…2. For benzene, the nearest-neighbor coupling 37 is taken as t = 2.7eV and the fermion annihilation operators satisfy periodic boundary conditions,…”

Section: Appendix A: Benzene Molecular Junctionmentioning

confidence: 99%

The third law of thermodynamics in open quantum systems

Shastry

Stafford

2019

The Journal of Chemical Physics

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We consider open quantum systems consisting of a finite system of independent fermions with arbitrary Hamiltonian coupled to one or more equilibrium fermion reservoirs (which need not be in equilibrium with each other). A strong form of the third law of thermodynamics, S(T ) → 0 as T → 0, is proven for fully open quantum systems in thermal equilibrium with their environment, defined as systems where all states are broadened due to environmental coupling. For generic open quantum systems, it is shown that S(T ) → g ln 2 as T → 0, where g is the number of localized states lying exactly at the chemical potential of the reservoir. For driven open quantum systems in a nonequilibrium steady state, it is shown that the local entropy S(x; T ) → 0 as T (x) → 0, except for cases of measure zero arising due to localized states, where T (x) is the temperature measured by a local thermometer.

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Effective field theory of interactingπelectrons

Cited by 13 publications

References 70 publications

Signatures of Plexcitonic States in Molecular Electroluminescence

Signatures of Plexcitonic States in Molecular Electroluminescence

Scanning Tunneling Thermometry

The third law of thermodynamics in open quantum systems

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