Event Title

Thresholds of Dimensionality in Physical Systems

Faculty Advisor

Gabriel Spalding

Graduation Year

2022

Location

Center for Natural Sciences

Start Date

4-4-2020 2:00 PM

End Date

4-4-2020 3:00 PM

Description

Electrical resistance of a wire is normally proportional to the wire length and inversely proportional to cross-sectional area, but as the diameter reaches the nanoscale such classical behaviors break down, and conductance can only come in integer multiples of a value set by fundamental constants alone, in a manner that can be used to argue both for the wave nature of electrons and that these wires have become, physically, one dimensional. Yet if the length of a nanowire is also reduced to the nanoscale, the electron should become localized (particle-like), and the system becomes zero dimensional. This work aims to tune the degree of isolation, e.g., the degree of coupling to external leads, in systems of reduced dimensionality, with the goal of identifying thresholds to accessing higher physical dimensions.

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Apr 4th, 2:00 PM Apr 4th, 3:00 PM

Thresholds of Dimensionality in Physical Systems

Center for Natural Sciences

Electrical resistance of a wire is normally proportional to the wire length and inversely proportional to cross-sectional area, but as the diameter reaches the nanoscale such classical behaviors break down, and conductance can only come in integer multiples of a value set by fundamental constants alone, in a manner that can be used to argue both for the wave nature of electrons and that these wires have become, physically, one dimensional. Yet if the length of a nanowire is also reduced to the nanoscale, the electron should become localized (particle-like), and the system becomes zero dimensional. This work aims to tune the degree of isolation, e.g., the degree of coupling to external leads, in systems of reduced dimensionality, with the goal of identifying thresholds to accessing higher physical dimensions.