Observing a scale anomaly and a universal quantum phase transition in graphene

Ovdat, O.; Mao, Jinhai; Jiang, Yuhang; Andrei, E. Y.; Akkermans, Eric

doi:10.1038/s41467-017-00591-8

Title: Observing a scale anomaly and a universal quantum phase transition in graphene

Journal Article · Mon Sep 11 00:00:00 EDT 2017 · Nature Communications

DOI:https://doi.org/10.1038/s41467-017-00591-8· OSTI ID:1473977

Ovdat, O. ^[1]; Mao, Jinhai ^[2]; Jiang, Yuhang ^[2]; Andrei, E. Y. ^[2]; Akkermans, Eric ^[1]

Technion-Israel Inst. of Tech., Haifa (Israel). Dept. of Physics
Rutgers Univ., Piscataway, NJ (United States). Dept. of Physics and Astronomy

One of the most interesting predictions resulting from quantum physics, is the violation of classical symmetries, collectively referred to as anomalies. A remarkable class of anomalies occurs when the continuous scale symmetry of a scale-free quantum system is broken into a discrete scale symmetry for a critical value of a control parameter. This is an example of a (zero temperature) quantum phase transition. Such an anomaly takes place for the quantum inverse square potential known to describe ‘Efimov physics’. Broken continuous scale symmetry into discrete scale symmetry also appears for a charged and massless Dirac fermion in an attractive 1/r Coulomb potential. Furthermore, the purpose of this article is to demonstrate the universality of this quantum phase transition and to present convincing experimental evidence of its existence for a charged and massless fermion in an attractive Coulomb potential as realized in graphene.

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Research Organization:: Rutgers Univ., Piscataway, NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-99ER45742

OSTI ID:: 1473977

Journal Information:: Nature Communications, Vol. 8, Issue 1; ISSN 2041-1723

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 22 works

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