TY - JOUR
T1 - Anomalous dimension of the electrical current in strange metals from the fractional Aharonov-Bohm effect
AU - Limtragool, Kridsanaphong
AU - Phillips, Philip W.
N1 - Funding Information:
PWP thanks Gabriele La Nave for numerous clarifications on gauge invariance and fractional calculus, J. Zaanen for comments on prior version of the manuscript, T. Senthil for a useful conversation, and the NSF DMR-1461952 for partial funding of this project and the Center for Emergent Superconductivity, a DOE Energy Frontier Research Center, Grant No. DE-AC0298CH1088. KL is supported by the Department of Physics at the University of Illinois and a scholarship from the Ministry of Science and Technology, Royal Thai Government. PWP acknowledges support from the J. S. Guggenheim Foundation.
Publisher Copyright:
© 2018 EPLA.
PY - 2018/1
Y1 - 2018/1
N2 - 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.
AB - 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.
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U2 - 10.1209/0295-5075/121/27003
DO - 10.1209/0295-5075/121/27003
M3 - Article
AN - SCOPUS:85045659074
VL - 121
JO - EPL
JF - EPL
SN - 0295-5075
IS - 2
M1 - 27003
ER -