| Issue |
EPL
Volume 121, Number 2, January 2018
|
|
|---|---|---|
| Article Number | 27003 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
| DOI | https://doi.org/10.1209/0295-5075/121/27003 | |
| Published online | 20 March 2018 | |
Anomalous dimension of the electrical current in strange metals from the fractional Aharonov-Bohm effect
Department of Physics and Institute for Condensed Matter Theory, University of Illinois 1110 W. Green Street, Urbana, IL 61801, USA
Received: 19 December 2017
Accepted: 28 February 2018
We show here that if the current in the strange metal phase of the cuprates has an anomalous dimension, then the Aharonov-Bohm flux through a ring does not have the standard 
form, where A is the area, B is the external magnetic field, and e is the electric charge, but instead it is modified by a geometrical factor that depends directly on the anomalous dimension of the current. We calculate the Aharonov-Bohm flux in square and disk geometries. In both cases, the deviation from the standard result is striking and offers a fingerprint about what precisely is strange about the strange metal.
PACS: 71.27.+a – Strongly correlated electron systems; heavy fermions / 74.72.-h – Cuprate superconductors / 11.25.Tq – Gauge/string duality
© EPLA, 2018
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