Spin model
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A spin model is a
quantum information theory and computability theory in theoretical computer science
. The theory of spin models is a far reaching and unifying topic that cuts across many fields.
Introduction
In ordinary materials, the magnetic dipole moments of individual atoms produce magnetic fields that cancel one another, because each dipole points in a random direction.
Ferromagnetic materials below their Curie temperature, however, exhibit magnetic domains
in which the atomic dipole moments are locally aligned, producing a macroscopic, non-zero magnetic field from the domain. These are the ordinary "magnets" with which we are all familiar.
The study of the behavior of such "spin models" is a thriving area of research in
xy-model
.
The lack of a unified theory of magnetismNumerical implementation of these models has led to several interesting results, such as quantitative research in the theory of phase transitions.
Quantum
A quantum spin model is a
commutative
variables.
See also
- ANNNI model
- Bethe ansatz
- Ising model
- Classical Heisenberg model
- Quantum Heisenberg model
- Hubbard model
- J1 J2 model
- Kuramoto model
- Magnetism
- Majumdar–Ghosh model
- Potts model
- t-J model
- Quantum rotor model
- Spin
- Spin stiffness
- Spin waves
- XY model
- Yang–Baxter equation
- Z N model
References
- ISBN 9783540854159.
- OCLC 174527496.
Bibliography
- Bethe, H. (March 1931). "Zur Theorie der Metalle". Zeitschrift für Physik. 71 (3–4): 205–226. S2CID 124225487.
- R.J. Baxter, Exactly solved models in statistical mechanics, London, Academic Press, 1982 [1] Archived 2011-04-10 at the Wayback Machine
- PMID 9944997.
External links
- Introduction to classical and Ising Spin Models
- Quantum Field Theory of Many-Body Systems [permanent dead link]
- Institute of Quantum Information Caltech
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Statistical thermodynamics | ||
| Models |
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| Mathematical approaches | ||
| Critical phenomena | ||
| Entropy |
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