Bulletin of the American Physical Society
APS March Meeting 2018
Monday–Friday, March 5–9, 2018; Los Angeles, California
Session E35: Phase Transitions in 2D Materials
8:00 AM–11:00 AM,
Tuesday, March 6, 2018
LACC Room: 409B
Sponsoring Unit: DCMP
Chair: Adam Friedman, Naval Research Lab
Abstract: E35.00012 : Observing a Scale Anomaly and A Universal Quantum Phase Transition in Graphene*
10:12 AM–10:24 AM
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. The purpose of this talk 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 realised in graphene.
*This work was supported by the Israel Science Foundation Grant No. 924/09. Funding for the experimental work provided by DOE-FG02-99ER45742 (STM/STS), NSF DMR 1207108 (fabrication and characterization).
Editorial Office 1 Research Road, Ridge, NY 11961-2701 (631) 591-4000
Office of Public Affairs 529 14th St NW, Suite 1050, Washington, D.C. 20045-2001 (202) 662-8700