constant

conductance quantum

Conductance quantum 2e²/h — the step by which conductance changes in a quantum point contact.
Value
\(G_{0} = 7.748091729 \times 10^{-5}\)siemens
12 related articles

Description

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.

History

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.

How it works

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.

In practice

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.

Fun fact

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.

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Related articles · 12

Mesoscale2026-08-172 minarXiv:2608.16711
Quantum Switch: How Discrete Graphene Modes Control Superconductivity
In a narrow corridor, people walk in rows rather than as a crowd. The number of rows depends on the width of the passage. In graphene, this corridor is a quantum point contact — a constriction where electrons move ballistically without scattering.
Mesoscale2026-05-172 minarXiv:2605.17335express
The Edge of an Insulator Conducts Electricity Like a Metal
Two thin layers of a semiconductor were twisted relative to each other by 2.29 degrees, like two sheets of transparent paper with printed grids. Where the lines nearly align, a large pattern of dark and bright spots emerges. Electrons in this pattern behave very differently from those in a regular crystal.
Mesoscale2026-04-172 minarXiv:2604.16647express
Quartets of Electrons: A Dance in Four Steps
In the world of superconductors, electrons don't like to be alone. They typically pair up into Cooper pairs and move without resistance, like figure skaters holding hands. But you can make them dance in fours. The authors of this work propose a scheme where Cooper quartets, groups of four electrons exchanging partners in a rapid rhythm, are born.
Quantum Physics2026-04-141 minarXiv:2604.12838express
Quantum Paths in Two Dimensions
A laser beam hits an atom, and an electron is knocked loose. It accelerates, returns, and, crashing into the atom, emits a flash of light — a harmonic. If there are two light beams and they are crossed like an intersection, the electron can choose different routes. In the new experiment, the two beams had comparable strength and were directed at right angles.
Strongly Correlated2026-03-111 minarXiv:2603.10552express
Ordered Waves on the Surface of a Uranium Superconductor
The surface of the uranium compound UTe2 crystal looks like a frozen sea: in some places, electrons move freely; in others, they get stuck near atoms. A scanning tunneling microscope, a device that probes the surface with an atomically sharp tip and senses individual electrons, revealed that this landscape is not random.
Mesoscale2026-02-242 minarXiv:2602.20884express
The Wire That Refuses to Trap Electrons
A thin wire made of a special material, a topological insulator, behaves like a city street: the interior is empty, and all traffic runs along the edges. Electrons in such a wire move only along the surface, like pedestrians on a sidewalk, never stepping onto the roadway.
Mesoscale2026-02-112 minarXiv:2602.10554express
A Tiny Bridge Opens the World Inside a Crystal
Twisted layers of atoms in a material form a pattern of tiny regions, domains, each of which can be electrified in one of two directions, like a compass needle pointing north or south. Previously, such materials were studied only as a whole, measuring thousands of domains at once, and their collective behavior was like a choir where individual voices are not heard.
Superconductivity2026-02-081 minarXiv:2602.08038express
Two Superconductors in One Crystal
The crystal CeRh₂As₂ behaves like a switch: cool it down and it becomes a superconductor, then bring a magnet close and it abruptly jumps to another superconducting state. Such behavior is rare: most superconductors have only one state, but here there are two, separated by a sharp boundary.
Mesoscale2026-01-221 minarXiv:2601.16015express
Graphene Sandwich Accelerates Electrons
Graphene is a carbon sheet just one atom thick, a fantastic conductor. But its surface is crinkly, like a wrinkled tablecloth that hasn't been ironed. Scientists built a 'sandwich': two of these sheets pressed together with a non-conductive spacer in between. They iron out each other's folds, like two halves of a sandwich making the surface perfectly even.
Mesoscale2026-01-041 minarXiv:2601.01650express
One Molecule Changes Shape — Current Stays the Same
A translator gets distracted by every rustle in the hall, and a one-hour meeting stretches into two. Single molecules squeezed between two metal contacts behave much the same way: they constantly change their shape and seating, and this affects how current and heat pass through them.
Quantum Clamp: Film Thickness Rewrites the Pauli Limit
A magnetic field of 8 tesla is 200 times stronger than Earth's field. Under such a field, superconductivity in a thin film of palladium ditelluride not only survives but persists down to 20 millikelvin, which is a hundred times colder than outer space. For comparison, a thick film of the same material has a critical field 80 times smaller.