topological order


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topological order

[‚täp·ə‚läj·ə·kəl ′ȯrd·ər]
(cryogenics)
An internal order in a quantum Hall state which describes the quantum motions of the electrons with respect to one another; it is different from any other known order in not being associated with any symmetries or breaking of symmetries.
References in periodicals archive ?
Of particular interest is the prediction of emergent behaviour in many-body systems - the way in which many particles conspire together to create unexpected and fascinating phenomena such as superconductivity and unconventional phases involving topological order.
In the same spirit, Xiao-Gang Wen introduced the notion of topological order, which has already led to a deeper understanding of phenomena such as superconductivity and which holds the promise of an entirely new paradigm for describing and predicting the behaviour of quantum materials.
The lecture notes address such concepts as the interplay between conformal field theory and stochastic Loewner evolution, Coulomb gas techniques, tiling models, dimers, the definition of models of random curves on a background of random triangulations, boundary conditions, quantum inverse scattering, spin chains, the interplay between integrable models and combinatorics, mass transport models of condensation in real space, quantum impurity problems, the physics of spin liquids, the quantum Hall effect, models of rotating Bose-Einstein condensates, and models of topological order with applications to quantum computing.
Actually, it presents and discusses in classic topological order the theological contents of the Reformed creeds, ranging from revelation, trinity, creation, sin, covenant, justification, and sanctification, to church, sacraments, ministry, and church and state (part 2; 29-264).
Besides demonstrating a new mechanism for Cooper-pair formation, such an observation could revolutionize the search for systems that exhibit topological order.
Topics for students and researchers include mathematical formulas of atom trap quantum gates, Poisson algebras and Yang-Baxter equations and topological order and entanglement.
Other topics include superconductors with topological order, superconductivity in highly correlated systems, Cooper's electron pairs in low-temperature superconductors, charge carrier localization in plumbates.

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