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Coulomb Interaction, Ripples, and the Minimal Conductivity of Graphene
Open accessAbstract
We argue that the unscreened Coulomb interaction in graphene provides a positive, universal, and logarithmic correction to scaling of zero-temperature conductivity with frequency. The combined effect of the disorder due to wrinkling of the graphene sheet and the long-range electron-electron interactions is a finite positive contribution to the dc conductivity. This contribution is disorder strength dependent and thus nonuniversal. The low-energy behavior of such a system is governed by the line of fixed points at which both the interaction and disorder are finite, and the density of states is exactly linear. An estimate of the typical random vector potential representing ripples in graphene brings the theoretical value of the minimal conductivity into the vicinity of 4e2/h.
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Citations
Cited by
Vafek, O., & Vishwanath, A. (2014) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031113-133841 · Cited by 614
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Quantum Critical Transport in Clean Graphene
Fritz, L., Schmalian, J., Müller, M., & Sachdev, S. (2008) · Physical Review B · doi:10.1103/physrevb.78.085416 · Cited by 331
Interactions Remove the Quantization of the Chiral Photocurrent at Weyl Points
Avdoshkin, A., Kozii, V., & Moore, J. E. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.196603 · Cited by 78
Nandkishore, R. M., & Parameswaran, S. A. (2017) · Physical Review B · doi:10.1103/physrevb.95.205106 · Cited by 69
Metadata
- Authors
- Herbut, I. F., Juričić, V., & Vafek, O.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-01-28
- Volume
- 100
- Issue
- 4
- Pages
- 046403-046403
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2018639013
- Cited by
- 228
- References
- 0
- FWCI
- 10.78
- Type
- journal article
- Language
- en
- Open access
- green
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- Herbut, I. F., Juričić, V., & Vafek, O. (2008). Coulomb Interaction, Ripples, and the Minimal Conductivity of Graphene. Physical Review Letters. https://doi.org/10.1103/physrevlett.100.046403
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