Equilibration of a one-dimensional Wigner crystal.
Journal Article
·
· Phys. Rev. Lett.
Equilibration of a one-dimensional system of interacting electrons requires processes that change the numbers of left- and right-moving particles. At low temperatures such processes are strongly suppressed, resulting in slow relaxation towards equilibrium. We study this phenomenon in the case of spinless electrons with strong long-range repulsion, when the electrons form a one-dimensional Wigner crystal. We find the relaxation rate by accounting for the umklapp scattering of phonons in the crystal. For the integrable model of particles with inverse-square repulsion, the relaxation rate vanishes.
- Research Organization:
- Argonne National Laboratory (ANL)
- Sponsoring Organization:
- SC; NSF
- DOE Contract Number:
- AC02-06CH11357
- OSTI ID:
- 985145
- Report Number(s):
- ANL/MSD/JA-66467
- Journal Information:
- Phys. Rev. Lett., Journal Name: Phys. Rev. Lett. Journal Issue: Jul. 20, 2010 Vol. 105; ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- ENGLISH
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