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BCS theory, the Glossary

Index BCS theory

In physics, the Bardeen–Cooper–Schrieffer (BCS) theory (named after John Bardeen, Leon Cooper, and John Robert Schrieffer) is the first microscopic theory of superconductivity since Heike Kamerlingh Onnes's 1911 discovery.[1]

Table of Contents

  1. 64 relations: Ansatz, Atlanta, Atomic nucleus, Atomic orbital, Band gap, Binding energy, Bogoliubov transformation, Bose–Einstein condensate, Bose–Einstein statistics, Boson, Brian Pippard, Coherence (physics), Cooper pair, Coulomb's law, Critical field, Crystal structure, Debye model, Density of states, Electron, Exponential decay, Exponential growth, Fermi level, Fermi surface, Fermion, Feshbach resonance, Fritz London, Georgia State University, Heat capacity, Heike Kamerlingh Onnes, High-temperature superconductivity, Isotope, Isotopes of mercury, John Bardeen, John Robert Schrieffer, Kelvin, Leon Cooper, Little–Parks effect, London equations, Magnesium diboride, Magnetic field, Meissner effect, Mercury (element), Michael Tinkham, Microscopic theory, Nikolay Bogolyubov, Nobel Prize in Physics, Nuclear physics, Nucleon, Pauli exclusion principle, Phase transition, ... Expand index (14 more) »

Ansatz

In physics and mathematics, an ansatz (meaning: "initial placement of a tool at a work piece", plural ansatzes or, from German, ansätze) is an educated guess or an additional assumption made to help solve a problem, and which may later be verified to be part of the solution by its results.

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Atlanta

Atlanta is the capital and most populous city in the U.S. state of Georgia.

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Atomic nucleus

The atomic nucleus is the small, dense region consisting of protons and neutrons at the center of an atom, discovered in 1911 by Ernest Rutherford based on the 1909 Geiger–Marsden gold foil experiment.

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Atomic orbital

In quantum mechanics, an atomic orbital is a function describing the location and wave-like behavior of an electron in an atom.

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Band gap

In solid-state physics and solid-state chemistry, a band gap, also called a bandgap or energy gap, is an energy range in a solid where no electronic states exist.

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Binding energy

In physics and chemistry, binding energy is the smallest amount of energy required to remove a particle from a system of particles or to disassemble a system of particles into individual parts.

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Bogoliubov transformation

In theoretical physics, the Bogoliubov transformation, also known as the Bogoliubov–Valatin transformation, was independently developed in 1958 by Nikolay Bogolyubov and John George Valatin for finding solutions of BCS theory in a homogeneous system.

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Bose–Einstein condensate

In condensed matter physics, a Bose–Einstein condensate (BEC) is a state of matter that is typically formed when a gas of bosons at very low densities is cooled to temperatures very close to absolute zero (−273.15 °C or −459.67 °F or 0 K).

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Bose–Einstein statistics

In quantum statistics, Bose–Einstein statistics (B–E statistics) describes one of two possible ways in which a collection of non-interacting identical particles may occupy a set of available discrete energy states at thermodynamic equilibrium.

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Boson

In particle physics, a boson is a subatomic particle whose spin quantum number has an integer value (0, 1, 2,...). Bosons form one of the two fundamental classes of subatomic particle, the other being fermions, which have odd half-integer spin (...). Every observed subatomic particle is either a boson or a fermion.

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Brian Pippard

Sir Alfred Brian Pippard, FRS (7 September 1920 – 21 September 2008), was a British physicist.

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Coherence (physics)

Coherence expresses the potential for two waves to interfere.

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Cooper pair

In condensed matter physics, a Cooper pair or BCS pair (Bardeen–Cooper–Schrieffer pair) is a pair of electrons (or other fermions) bound together at low temperatures in a certain manner first described in 1956 by American physicist Leon Cooper. BCS theory and Cooper pair are superconductivity.

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Coulomb's law

Coulomb's inverse-square law, or simply Coulomb's law, is an experimental law of physics that calculates the amount of force between two electrically charged particles at rest.

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Critical field

For a given temperature, the critical field refers to the maximum magnetic field strength below which a material remains superconducting. BCS theory and critical field are superconductivity.

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Crystal structure

In crystallography, crystal structure is a description of ordered arrangement of atoms, ions, or molecules in a crystalline material.

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Debye model

In thermodynamics and solid-state physics, the Debye model is a method developed by Peter Debye in 1912 to estimate phonon contribution to the specific heat (heat capacity) in a solid.

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Density of states

In condensed matter physics, the density of states (DOS) of a system describes the number of allowed modes or states per unit energy range.

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Electron

The electron (or in nuclear reactions) is a subatomic particle with a negative one elementary electric charge.

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Exponential decay

A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.

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Exponential growth

Exponential growth is a process that increases quantity over time at an ever-increasing rate.

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Fermi level

The Fermi level of a solid-state body is the thermodynamic work required to add one electron to the body.

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Fermi surface

In condensed matter physics, the Fermi surface is the surface in reciprocal space which separates occupied from unoccupied electron states at zero temperature.

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Fermion

In particle physics, a fermion is a particle that follows Fermi–Dirac statistics.

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Feshbach resonance

In physics, a Feshbach resonance can occur upon collision of two slow atoms, when they temporarily stick together forming an unstable compound with short lifetime (so-called resonance).

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Fritz London

Fritz Wolfgang London (March 7, 1900 – March 30, 1954) was a German born physicist and professor at Duke University.

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Georgia State University

Georgia State University (Georgia State, State, or GSU) is a public research university in Atlanta, Georgia.

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Heat capacity

Heat capacity or thermal capacity is a physical property of matter, defined as the amount of heat to be supplied to an object to produce a unit change in its temperature.

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Heike Kamerlingh Onnes

Heike Kamerlingh Onnes (21 September 185321 February 1926) was a Dutch physicist and Nobel laureate.

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High-temperature superconductivity

High-temperature superconductors (high-c or HTS) are defined as materials with critical temperature (the temperature below which the material behaves as a superconductor) above, the boiling point of liquid nitrogen.

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Isotope

Isotopes are distinct nuclear species (or nuclides) of the same chemical element.

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Isotopes of mercury

There are seven stable isotopes of mercury (80Hg) with 202Hg being the most abundant (29.86%).

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John Bardeen

John Bardeen; May 23, 1908 – January 30, 1991) was an American physicist and electrical engineer. He is the only person to be awarded the Nobel Prize in Physics twice: first in 1956 with William Shockley and Walter Brattain for the invention of the transistor; and again in 1972 with Leon N. Cooper and John Robert Schrieffer for a fundamental theory of conventional superconductivity known as the BCS theory.

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John Robert Schrieffer

John Robert Schrieffer (May 31, 1931 – July 27, 2019) was an American physicist who, with John Bardeen and Leon Cooper, was a recipient of the 1972 Nobel Prize in Physics for developing the BCS theory, the first successful quantum theory of superconductivity.

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Kelvin

The kelvin, symbol K, is the base unit of measurement for temperature in the International System of Units (SI).

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Leon Cooper

Leon N. Cooper (born February 28, 1930) is an American physicist and Nobel Prize laureate who, with John Bardeen and John Robert Schrieffer, developed the BCS theory of superconductivity. BCS theory and Leon Cooper are superconductivity.

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Little–Parks effect

The Little–Parks effect was discovered in 1962 by William A. Little and Ronald D. Parks in experiments with empty and thin-walled superconducting cylinders subjected to a parallel magnetic field. BCS theory and Little–Parks effect are superconductivity.

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London equations

The London equations, developed by brothers Fritz and Heinz London in 1935, are constitutive relations for a superconductor relating its superconducting current to electromagnetic fields in and around it. BCS theory and London equations are superconductivity.

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Magnesium diboride

Magnesium diboride is the inorganic compound with the formula MgB2.

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Magnetic field

A magnetic field (sometimes called B-field) is a physical field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials.

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Meissner effect

The Meissner effect (or Meißner–Ochsenfeld effect) is the expulsion of a magnetic field from a superconductor during its transition to the superconducting state when it is cooled below the critical temperature. BCS theory and Meissner effect are superconductivity.

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Mercury (element)

Mercury is a chemical element; it has symbol Hg and atomic number 80.

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Michael Tinkham

Michael Tinkham (February 23, 1928 – November 4, 2010) was an American physicist.

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Microscopic theory

A microscopic theory is one that contains an explanation at the atomic or subatomic level in contrast to a higher level or classical macroscopic or phenomenological theory.

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Nikolay Bogolyubov

Nikolay Nikolayevich Bogolyubov (Никола́й Никола́евич Боголю́бов;; 21 August 1909 – 13 February 1992) was a Soviet, Ukrainian and Russian mathematician and theoretical physicist known for a significant contribution to quantum field theory, classical and quantum statistical mechanics, and the theory of dynamical systems; he was the recipient of the 1992 Dirac Medal.

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Nobel Prize in Physics

The Nobel Prize in Physics (Nobelpriset i fysik) is an annual award given by the Royal Swedish Academy of Sciences for those who have made the most outstanding contributions to mankind in the field of physics.

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Nuclear physics

Nuclear physics is the field of physics that studies atomic nuclei and their constituents and interactions, in addition to the study of other forms of nuclear matter.

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Nucleon

In physics and chemistry, a nucleon is either a proton or a neutron, considered in its role as a component of an atomic nucleus.

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Pauli exclusion principle

In quantum mechanics, the Pauli exclusion principle states that two or more identical particles with half-integer spins (i.e. fermions) cannot simultaneously occupy the same quantum state within a system that obeys the laws of quantum mechanics.

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Phase transition

In physics, chemistry, and other related fields like biology, a phase transition (or phase change) is the physical process of transition between one state of a medium and another.

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Phenomenology (physics)

In physics, phenomenology is the application of theoretical physics to experimental data by making quantitative predictions based upon known theories.

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Phonon

A phonon is a collective excitation in a periodic, elastic arrangement of atoms or molecules in condensed matter, specifically in solids and some liquids.

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Physical Review

Physical Review is a peer-reviewed scientific journal established in 1893 by Edward Nichols.

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Physics

Physics is the natural science of matter, involving the study of matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force.

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Pierre-Gilles de Gennes

Pierre-Gilles de Gennes (24 October 1932 – 18 May 2007) was a French physicist and the Nobel Prize laureate in physics in 1991.

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Quantum state

In quantum physics, a quantum state is a mathematical entity that embodies the knowledge of a quantum system.

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Quasiparticle

In condensed matter physics, a quasiparticle is a concept used to describe a collective behavior of a group of particles that can be treated as if they were a single particle.

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Specific heat capacity

In thermodynamics, the specific heat capacity (symbol) of a substance is the amount of heat that must be added to one unit of mass of the substance in order to cause an increase of one unit in temperature.

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Superconducting coherence length

In superconductivity, the superconducting coherence length, usually denoted as \xi (Greek lowercase xi), is the characteristic exponent of the variations of the density of superconducting component. BCS theory and superconducting coherence length are superconductivity.

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Superconductivity

Superconductivity is a set of physical properties observed in certain materials where electrical resistance vanishes and magnetic fields are expelled from the material.

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Tin

Tin is a chemical element; it has symbol Sn and atomic number 50.

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Ultracold atom

In condensed matter physics, an ultracold atom is an atom with a temperature near absolute zero.

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Vanadium

Vanadium is a chemical element; it has symbol V and atomic number 23.

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World Scientific

World Scientific Publishing is an academic publisher of scientific, technical, and medical books and journals headquartered in Singapore.

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References

[1] https://en.wikipedia.org/wiki/BCS_theory

Also known as BCS superconduction theory, BCS superconductor, BCS-theory, Bardeen Cooper Schrieffer theory, Bardeen-Cooper-Schrieffer, Bardeen-Cooper-Schrieffer theory.

, Phenomenology (physics), Phonon, Physical Review, Physics, Pierre-Gilles de Gennes, Quantum state, Quasiparticle, Specific heat capacity, Superconducting coherence length, Superconductivity, Tin, Ultracold atom, Vanadium, World Scientific.