TY - JOUR
T1 - Critical behavior in graphene with Coulomb interactions
AU - Wang, Jianhui
AU - Fertig, H. A.
AU - Murthy, Ganpathy
PY - 2010/5/3
Y1 - 2010/5/3
N2 - We demonstrate that, in the presence of Coulomb interactions, electrons in graphene behave like a critical system, supporting power law correlations with interaction-dependent exponents. An asymptotic analysis shows that the origin of this behavior lies in particle-hole scattering, for which the Coulomb interaction induces anomalously close approaches. With increasing interaction strength the relevant power law changes from real to complex, leading to an unusual instability characterized by a complex-valued susceptibility in the thermodynamic limit. Measurable quantities, as well as the connection to classical two-dimensional systems, are discussed.
AB - We demonstrate that, in the presence of Coulomb interactions, electrons in graphene behave like a critical system, supporting power law correlations with interaction-dependent exponents. An asymptotic analysis shows that the origin of this behavior lies in particle-hole scattering, for which the Coulomb interaction induces anomalously close approaches. With increasing interaction strength the relevant power law changes from real to complex, leading to an unusual instability characterized by a complex-valued susceptibility in the thermodynamic limit. Measurable quantities, as well as the connection to classical two-dimensional systems, are discussed.
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U2 - 10.1103/PhysRevLett.104.186401
DO - 10.1103/PhysRevLett.104.186401
M3 - Article
AN - SCOPUS:77951905597
SN - 0031-9007
VL - 104
JO - Physical Review Letters
JF - Physical Review Letters
IS - 18
M1 - 186401
ER -