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T-J model, the Glossary

In solid-state physics, the t-J model is a model first derived by Józef Spałek to explain antiferromagnetic properties of Mott insulators, taking into account experimental results about the strength of electron-electron repulsion in these materials.^[1]

34 relations: Antiferromagnetism, Chemical potential, Condensed matter physics, Coulomb's law, Creation and annihilation operators, Cuprate superconductor, Dielectric, Dopant, Electron, Exchange interaction, Fermion, Function (mathematics), Ground state, Hamiltonian (quantum mechanics), Hermitian adjoint, High-temperature superconductivity, Hubbard model, Kinetic energy, Lattice model (physics), Material, Mott insulator, Operator (physics), Oxford University Press, Potential energy, Projection (linear algebra), Quantum Heisenberg model, Quantum tunnelling, Schrieffer–Wolff transformation, Solid-state physics, Spin polarization, Square lattice, Strongly correlated material, Two-dimensional space, World Scientific.
Quantum lattice models

Antiferromagnetism

In materials that exhibit antiferromagnetism, the magnetic moments of atoms or molecules, usually related to the spins of electrons, align in a regular pattern with neighboring spins (on different sublattices) pointing in opposite directions. T-J model and antiferromagnetism are quantum lattice models.

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Chemical potential

In thermodynamics, the chemical potential of a species is the energy that can be absorbed or released due to a change of the particle number of the given species, e.g. in a chemical reaction or phase transition.

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Condensed matter physics

Condensed matter physics is the field of physics that deals with the macroscopic and microscopic physical properties of matter, especially the solid and liquid phases, that arise from electromagnetic forces between atoms and electrons.

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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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Creation and annihilation operators

Creation operators and annihilation operators are mathematical operators that have widespread applications in quantum mechanics, notably in the study of quantum harmonic oscillators and many-particle systems.

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Cuprate superconductor

Cuprate superconductors are a family of high-temperature superconducting materials made of layers of copper oxides (CuO2) alternating with layers of other metal oxides, which act as charge reservoirs.

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Dielectric

In electromagnetism, a dielectric (or dielectric medium) is an electrical insulator that can be polarised by an applied electric field.

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Dopant

A dopant (also called a doping agent) is a small amount of a substance added to a material to alter its physical properties, such as electrical or optical properties.

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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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Exchange interaction

In chemistry and physics, the exchange interaction is a quantum mechanical constraint on the states of indistinguishable particles.

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Fermion

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

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Function (mathematics)

In mathematics, a function from a set to a set assigns to each element of exactly one element of.

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Ground state

The ground state of a quantum-mechanical system is its stationary state of lowest energy; the energy of the ground state is known as the zero-point energy of the system.

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Hamiltonian (quantum mechanics)

In quantum mechanics, the Hamiltonian of a system is an operator corresponding to the total energy of that system, including both kinetic energy and potential energy.

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Hermitian adjoint

In mathematics, specifically in operator theory, each linear operator A on an inner product space defines a Hermitian adjoint (or adjoint) operator A^* on that space according to the rule where \langle \cdot,\cdot \rangle is the inner product on the vector space.

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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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Hubbard model

The Hubbard model is an approximate model used to describe the transition between conducting and insulating systems. T-J model and Hubbard model are quantum lattice models.

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Kinetic energy

In physics, the kinetic energy of an object is the form of energy that it possesses due to its motion.

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Lattice model (physics)

In mathematical physics, a lattice model is a mathematical model of a physical system that is defined on a lattice, as opposed to a continuum, such as the continuum of space or spacetime.

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Material

A material is a substance or mixture of substances that constitutes an object.

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Mott insulator

Mott insulators are a class of materials that are expected to conduct electricity according to conventional band theories, but turn out to be insulators (particularly at low temperatures).

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Operator (physics)

An operator is a function over a space of physical states onto another space of states.

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Oxford University Press

Oxford University Press (OUP) is the publishing house of the University of Oxford.

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Potential energy

In physics, potential energy is the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors.

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Projection (linear algebra)

In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself (an endomorphism) such that P\circ P.

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Quantum Heisenberg model

The quantum Heisenberg model, developed by Werner Heisenberg, is a statistical mechanical model used in the study of critical points and phase transitions of magnetic systems, in which the spins of the magnetic systems are treated quantum mechanically. T-J model and quantum Heisenberg model are quantum lattice models.

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Quantum tunnelling

In physics, quantum tunnelling, barrier penetration, or simply tunnelling is a quantum mechanical phenomenon in which an object such as an electron or atom passes through a potential energy barrier that, according to classical mechanics, should not be passable due to the object not having sufficient energy to pass or surmount the barrier.

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Schrieffer–Wolff transformation

In quantum mechanics, the Schrieffer–Wolff transformation is a unitary transformation used to determine an effective (often low-energy) Hamiltonian by decoupling weakly interacting subspaces.

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Solid-state physics

Solid-state physics is the study of rigid matter, or solids, through methods such as solid-state chemistry, quantum mechanics, crystallography, electromagnetism, and metallurgy.

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Spin polarization

In particle physics, spin polarization is the degree to which the spin, i.e., the intrinsic angular momentum of elementary particles, is aligned with a given direction.

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Square lattice

In mathematics, the square lattice is a type of lattice in a two-dimensional Euclidean space.

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Strongly correlated materials are a wide class of compounds that include insulators and electronic materials, and show unusual (often technologically useful) electronic and magnetic properties, such as metal-insulator transitions, heavy fermion behavior, half-metallicity, and spin-charge separation.

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Two-dimensional space

A two-dimensional space is a mathematical space with two dimensions, meaning points have two degrees of freedom: their locations can be locally described with two coordinates or they can move in two independent directions.

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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/T-J_model

Also known as Model t-J.