Thermal and electrical transport formalism for electronic microstructures with many terminals

Butcher, P N

doi:10.1088/0953-8984/2/22/008

Cited by 227 publications

(266 citation statements)

References 19 publications

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“…If the transmission is not constant (as a function of energy), a difference in the Fermi distributions due to a temperature difference (∆T = T 1 − T 2 ) will drive a thermoelectric current at zero bias (V = 0) (also see footnote [21]). For molecules the transmission is often smooth (compared to the thermal energy) which allows us to use the Sommerfeld expansion [14]:…”

Section: Methodsmentioning

confidence: 99%

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Thermoelectric effect in molecular electronics

2003

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We provide a theoretical estimate of the thermoelectric current and voltage over a Phenyldithiol molecule. We also show that the thermoelectric voltage is (1) easy to analyze, (2) insensitive to the detailed coupling to the contacts, (3) large enough to be measured and (4) give valuable information, which is not readily accessible through other experiments, on the location of the Fermi energy relative to the molecular levels. The location of the Fermi-energy is poorly understood and controversial even though it is a central factor in determining the nature of conduction (n-or p-type). We also note that the thermoelectric voltage measured over Guanine molecules with an STM by Poler et al., indicate conduction through the HOMO level, i.e., p-type conduction.

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Section: Methodsmentioning

confidence: 99%

“…Similar expressions are available for heat transport [14]. The thermoelectric current is usually small enough that we can use a linear equivalent circuit as shown in Fig.…”

Section: Methodsmentioning

confidence: 99%

Thermoelectric effect in molecular electronics

2003

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“…Based on the same formalism, it is possible to find an expression for the thermopower of a lead-molecule-lead junction. It is called Seebeck coefficient, (Q), which in terms of the transmission probability can be written as [15][16][17]23]:…”

Section: Theoretical Modelmentioning

confidence: 99%

Electronic and thermal properties of Biphenyl molecules

Medina

Ojeda

Duque

et al. 2015

Superlattices and Microstructures

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Transport properties of a single Biphenyl molecule coupled to two contacts are studied. We characterise this system by a tight-binding Hamiltonian. Based on the non-equilibrium Green's functions technique with a Landauer-Büttiker formalism the transmission probability, current and thermoelectrical power are obtained. We show that the Biphenyl molecule may have semiconductor behaviour for certain values of the electrode-molecule-electrode junctions and different values of the angle between the two rings of the molecule. In addition, the density of states (DOS) is calculated to compare the bandwidths with the profile of the transmission probability. DOS allows us to explain the asymmetric shape with respect to the molecule's Fermi energy.

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“…To be specific, G and S are evaluated between the two terminals and in the equations that follow t refers to the transmission function between the two leads, i.e., t(E) ¼ t 12 (E) ¼ t 21 (E). The transport coefficients are obtained from t(E) and the derivative of the Fermi function f 0 evaluated at the global chemical potential l and temperature T via the expressions, 29,30 G ¼ 2e 2 h…”

Section: Theorymentioning

confidence: 99%

Coherent thermoelectric transport in single, double, and U-bend structures

Pye

Faux

Kearney

2015

Journal of Applied Physics

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Coherent, i.e., ballistic, thermoelectric transport in electron waveguide structures containing right-angle bends in single, double, and U-bend configurations is investigated. A theory based on Green's functions is used to derive the transmission function (and from that the transport coefficients) and allows for the inclusion of realistic models of spatially distributed imperfections. The results for the single and double-bend structures are presented in more detail than elsewhere in the literature. In the U-bend structure, sharp resonances in the stop-band region of the transmission function lead to large-magnitude peaks in the thermopower and consequently a large thermoelectric figure of merit (of order ten in some instances). These properties are still readily apparent even in the presence of moderate edge roughness or Anderson disorder.

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Thermal and electrical transport formalism for electronic microstructures with many terminals

Cited by 227 publications

References 19 publications

Thermoelectric effect in molecular electronics

Thermoelectric effect in molecular electronics

Electronic and thermal properties of Biphenyl molecules

Coherent thermoelectric transport in single, double, and U-bend structures

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