Diffuson

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

1. ↑ 1.0 1.1 Abrahams, Elihu, ed (June 2010) (in en). 50 Years of Anderson Localization. World Scientific. pp. 74, 95, 125, 393, 407. doi:10.1142/7663. ISBN 978-981-4299-06-0. Bibcode: 2010fyal.book.....A.
2. ↑ Evers, Ferdinand; Mirlin, Alexander D. (2008-10-17). "Anderson transitions" (in en). Reviews of Modern Physics 80 (4): 1355–1417. doi:10.1103/RevModPhys.80.1355. ISSN 0034-6861. Bibcode: 2008RvMP...80.1355E. https://link.aps.org/doi/10.1103/RevModPhys.80.1355.
3. ↑ Kharitonov, Maxim Yu.; Efetov, Konstantin B. (2008-07-28). "Universal conductance fluctuations in graphene" (in en). Physical Review B 78 (3). doi:10.1103/PhysRevB.78.033404. ISSN 1098-0121. Bibcode: 2008PhRvB..78c3404K. https://link.aps.org/doi/10.1103/PhysRevB.78.033404.

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