
Conductance quantum 2e²/h — the step by which conductance changes in a quantum point contact.The conductance quantum, denoted G₀, is the fundamental unit of electrical conductance, equal to 2e²/h, where e is the elementary charge and h is Planck's constant. It represents the maximum conductance of a single quantum channel for electrons in a one-dimensional conductor. In mesoscopic physics, when a narrow constriction (a quantum point contact) connects two electron reservoirs, the conductance does not increase continuously with width but rather in discrete steps, each step being an integer multiple of G₀.
The quantization of conductance was first observed experimentally in 1988 by Bart van Wees and colleagues at Delft University of Technology, and independently by David Wharam and colleagues at the University of Cambridge. The theoretical framework was built on earlier work by Rolf Landauer and Markus Büttiker.
In a quantum point contact, electrons are confined to a narrow region where their transverse motion is quantized into discrete energy levels (subbands). Each occupied subband contributes one conductance quantum to the total conductance. As the width of the constriction is increased (e.g., by changing a gate voltage), more subbands become populated, and the conductance jumps by G₀ each time. This quantization arises from the fundamental relation between current and voltage in a ballistic conductor, where each channel transmits electrons with perfect transmission probability.
It is used in the characterization of nanoscale electronic devices, such as quantum wires and transistors, and serves as a benchmark for measuring the quality of ballistic transport in semiconductor nanostructures.
The conductance quantum is exactly 2e²/h, and the factor of 2 comes from the spin degeneracy of electrons; if spin were not degenerate, the quantum would be e²/h.



