Spatially resolved thermoelectric effects in<i>operando</i>semiconductor–metal nanowire heterostructures

Gächter, Nadine; Könemann, Fabian; Sistani, Masiar; Bartmann, Maximilian G.; Sousa, Marilyne; Staudinger, Philipp; Lugstein, Alois; Gotsmann, Bernd

doi:10.1039/d0nr05504b

Cited by 18 publications

(24 citation statements)

References 34 publications

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“…SThM also has been successfully employed to reveal hot spots in graphene electronic devices and self-heating 2D heterojunctions by directly mapping the spatial distribution of the generated steady-state temperature rise [142,143,163]. Furthermore, novel SThM configurations have been developed the last years to simultaneously study thermal and thermoelectric transport on a nanometer scale [164][165][166], revealing important effects such as local Joule heating, Seebeck and Peltier effects in graphene and nanowire heterostructures. Such measurements gave further insight into phonon transport at the nanoscale and showed the great advantage of using thermal characterization tools with thermal and topographic mapping capabilities.…”

Section: Scanning Thermal Microscopymentioning

confidence: 99%

Heat Transport Control and Thermal Characterization of Low-Dimensional Materials: A Review

et al. 2021

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Heat dissipation and thermal management are central challenges in various areas of science and technology and are critical issues for the majority of nanoelectronic devices. In this review, we focus on experimental advances in thermal characterization and phonon engineering that have drastically increased the understanding of heat transport and demonstrated efficient ways to control heat propagation in nanomaterials. We summarize the latest device-relevant methodologies of phonon engineering in semiconductor nanostructures and 2D materials, including graphene and transition metal dichalcogenides. Then, we review recent advances in thermal characterization techniques, and discuss their main challenges and limitations.

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Section: Scanning Thermal Microscopymentioning

confidence: 99%

Heat Transport Control and Thermal Characterization of Low-Dimensional Materials: A Review

et al. 2021

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“…y = 0), where x is the longitudinal coordinate of the bow tie system, the radial coordinate r = |x| + δ and r ≥ δ. Overall, we write (23) where T (r) is the solution of Eq. ( 22) with r > 0.…”

Section: Bow Tie Constrictionmentioning

confidence: 99%

“…While nanoscale constrictions are of great importance for their electrical transport characteristics, particularly in the quantum regime [13,14], they also promote enhanced Joule selfheating and thermoelectric coefficients [15][16][17][18]. For such structures, scanning thermal microscopy [4] is an ideal tool to map surface temperatures with spatial resolution of a few nanometers, as applied to carbon nanotubes [19], nanowires [20][21][22][23] and 2D materials [17,18,[24][25][26][27][28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

The heat equation for nanoconstrictions in 2D materials with Joule self-heating

Ward,

McCann

2021

Preprint

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We consider the heat equation for two-dimensional materials in the presence of heat flow into a substrate and Joule heating due to electrical current. We compare devices including a nanowire of constant width and a bow tie (or wedge) constriction of varying width, and we derive approximate one-dimensional heat equations for them. For example, a bow tie constriction is described by the modified Bessel equation of zero order. We compare steady state analytic solutions of the approximate equations with numerical results obtained by a finite element method solution of the two-dimensional equation. Using these solutions, we describe how the thermal conductivity, thermal resistance to the substrate and device geometry combine to produce different peak temperature values and spatial profiles of the temperature.

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“…We consider three geometries as typical examples, figure 1, which are a rectangle, a nanowire [18,19,[23][24][25][26][49][50][51] of constant width w, and a bow tie (or wedge) constriction [20,21,[51][52][53] of varying width down to a minimum w. We compare the temperature profiles for devices with the same macroscopic dimensions and characteristic parameters, for either a fixed applied potential difference or a fixed current. The nanowire and bow tie are excellent representative examples because they exhibit markedly different behaviour: the electrical resistances of the nanowire and bow tie have different dependences on the width w, and this means that Joule heating is independent of w for the nanowire (for small w and (4).…”

Section: Introductionmentioning

confidence: 99%

The heat equation for nanoconstrictions in 2D materials with Joule self-heating

Ward

McCann

2021

J. Phys. D: Appl. Phys.

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We consider the heat equation for monolayer two-dimensional materials in the presence of heat flow into a substrate and Joule heating due to electrical current. We compare devices including a nanowire of constant width and a bow tie (or wedge) constriction of varying width, and we derive approximate one-dimensional heat equations for them; a bow tie constriction is described by the modified Bessel equation of zero order. We compare steady state analytic solutions of the approximate equations with numerical results obtained by a finite element method solution of the two-dimensional equation. Using these solutions, we describe the role of thermal conductivity, thermal boundary resistance with the substrate and device geometry. The temperature in a device at fixed potential difference will remain finite as the width shrinks, but will diverge for fixed current, logarithmically with width for the bow tie as compared to an inverse square dependence in a nanowire.

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Spatially resolved thermoelectric effects inoperandosemiconductor–metal nanowire heterostructures

Abstract: The thermoelectric properties of a nanoscale germanium segment connected by aluminium nanowires are studied using scanning thermal microscopy.

Cited by 18 publications

References 34 publications

Heat Transport Control and Thermal Characterization of Low-Dimensional Materials: A Review

Heat Transport Control and Thermal Characterization of Low-Dimensional Materials: A Review

The heat equation for nanoconstrictions in 2D materials with Joule self-heating

The heat equation for nanoconstrictions in 2D materials with Joule self-heating

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