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Diffuson

From Wikipedia, the free encyclopedia

In condensed matter physics, the diffuson is a disorder-averaged electron-hole propagator, a mathematical object which often appears in the theory of disordered electronic systems. The poles of the propagator can be identified with diffusion modes.[1][2]

In a disordered system, the motion of an electron is not ballistic, but diffusive: i.e., the electron does not move along a straight line, but experiences a series of random scatterings off of impurities. This random motion (diffusion) is described by a differential equation, known as the diffusion equation. The diffuson is the Green's function of the diffusion equation.[1]

The diffuson plays an important role in the theory of electron transport in disordered systems, especially for phase coherent effects such as universal conductance fluctuations.[3]

References

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  1. 1 2 Abrahams, Elihu, ed. (June 2010). 50 Years of Anderson Localization. World Scientific. pp. 74, 95, 125, 393, 407. Bibcode:2010fyal.book.....A. doi:10.1142/7663. ISBN 978-981-4299-06-0.
  2. Evers, Ferdinand; Mirlin, Alexander D. (2008-10-17). "Anderson transitions". Reviews of Modern Physics. 80 (4): 1355–1417. arXiv:0707.4378. Bibcode:2008RvMP...80.1355E. doi:10.1103/RevModPhys.80.1355. ISSN 0034-6861.
  3. Kharitonov, Maxim Yu.; Efetov, Konstantin B. (2008-07-28). "Universal conductance fluctuations in graphene". Physical Review B. 78 (3) 033404. arXiv:0801.0302. Bibcode:2008PhRvB..78c3404K. doi:10.1103/PhysRevB.78.033404. ISSN 1098-0121.