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Analytical model for self-heating in nanowire geometries
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10.1063/1.4811444
/content/aip/journal/jap/113/23/10.1063/1.4811444
http://aip.metastore.ingenta.com/content/aip/journal/jap/113/23/10.1063/1.4811444

Figures

Image of FIG. 1.
FIG. 1.

(a) Metallic nanowire geometry and electrodes shown in yellow, electrically insulating material of thickness below the nanowire, and an electrically conducting back-plane at ambient temperature on the bottom. (b) Cross-sectional slice of the nanowire with direction of the -axis shown. The parallel lines directly below the nanowire represent the approximate behavior of the isotherms in the vicinity of the nanowire, while the radial lines represent those farther below. (c) Top view of the nanowire and contacts showing the and axes. The straight lines near the nanowire-contact interface, the radial lines within the contacts, and the farther spaced parallel lines deep within the contact represent approximate expected isotherms.

Image of FIG. 2.
FIG. 2.

(a) Finite-element simulation (cross-sectional view) showing isothermal lines due to the Joule heat generated in the nanowire and flowing into the electrically insulating substrate. The nanowire has nm, nm, while the electrically insulating substrate has nm. (b) Finite element simulation (top view) showing isothermal lines due to the heat generated and flowing into the contacts.

Image of FIG. 3.
FIG. 3.

Plot of temperature rise versus position for a range of applied currents in a nanowire. The nanowire has nm, nm, while the electrically insulating substrate has nm. The model (Eqs. (21)–(23) ) is represented by the colored lines, while the finite element simulations are represented by the small circles.

Image of FIG. 4.
FIG. 4.

Simulations (small circles) and our model (solid-blue lines) for nanowires of given widths, , and electrical insulator thicknesses, . Other recent models are shown as dashed lines. A “non-spreading” that does not model the heat spreading below the nanowire or within the contact is shown as the upper-red dashed lines in each panel. A “clamped” model that assumes the contacts are fixed at the ambient temperature is shown as the lower-green dashed lines. All nanowires have nm, m, , and , while the electrically insulating substrate has .

Image of FIG. 5.
FIG. 5.

Simulations (small circles) focusing on the contact region for nanowires of given widths, , and electrical insulator thicknesses, . Our model (solid-blue lines), a “non-spreading” model (red upper dashed lines), and “clamped” model (green lower dashed lines) are shown for comparison.

Image of FIG. 6.
FIG. 6.

Plot of temperature rise versus position for a nanowire with a temperature-independent resistivity having (lower blue line) and a temperature-dependent resistivity having (upper green line).

Tables

Generic image for table
Table I.

Thermal healing lengths for the nanowires of widths and electrical insulator thicknesses in Fig. 4 . Also tabulated are the ratios ( ) of the thermal healing lengths within the contact pads to the nanowire widths and the ratios ( ) of the thermal resistances of the contacts to those of the nanowires.

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/content/aip/journal/jap/113/23/10.1063/1.4811444
2013-06-18
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Analytical model for self-heating in nanowire geometries
http://aip.metastore.ingenta.com/content/aip/journal/jap/113/23/10.1063/1.4811444
10.1063/1.4811444
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