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For the past 30 years, the strange metallic phase seen in the cuprate superconductors and many other quantum critical metals, have defied an explanation in terms of the standard building blocks in quantum field theory  particles with local interactions and conservation laws. A recent proposal suggests that all of the properties of such `strange metals' can be understood if the current has an anomalous dimension not determined simply by dimensional analysis. My talk will focus on trying to understand this claim. To demystify this claim, I will first show that even in the standard formulation of electricity and magnetism, Noether's Second Theorem actually allows for the current and the associated gauge field to have any allowable dimension. However, I will show that the only quantum theories to date which exhibit such odd behaviour are holographic models that are derived from a gravity theory that lives in higher dimensions. I will focus on various experimental probes to detect such anomalous dimensions and construct the Virasoro algebra for such fractional currents and discuss the general implications for the bulkboundary construction in holography.
\n\nSPEAKER:
Profesor Philip Phillips, University of Illinois at Urbana Champaign
190 ESB
falseICMT Seminar: "Do Cuprate Superconductors Harbor Hidden Extra Dimensions"
Speaker 
(signup)
Profesor Philip Phillips, University of Illinois at Urbana Champaign 

Date:  2/12/2018 
Time:  12 p.m. 
Location:  190 ESB 
Sponsor:  Institute for Condensed Matter Physics 
Event Type:  Seminar/Symposium 
For the past 30 years, the strange metallic phase seen in the cuprate superconductors and many other quantum critical metals, have defied an explanation in terms of the standard building blocks in quantum field theory  particles with local interactions and conservation laws. A recent proposal suggests that all of the properties of such `strange metals' can be understood if the current has an anomalous dimension not determined simply by dimensional analysis. My talk will focus on trying to understand this claim. To demystify this claim, I will first show that even in the standard formulation of electricity and magnetism, Noether's Second Theorem actually allows for the current and the associated gauge field to have any allowable dimension. However, I will show that the only quantum theories to date which exhibit such odd behaviour are holographic models that are derived from a gravity theory that lives in higher dimensions. I will focus on various experimental probes to detect such anomalous dimensions and construct the Virasoro algebra for such fractional currents and discuss the general implications for the bulkboundary construction in holography.

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