TY - JOUR
T1 - Emergent Non-Fermi-Liquid at the Quantum Critical Point of a Topological Phase Transition in Two Dimensions
AU - Isobe, Hiroki
AU - Yang, Bohm Jung
AU - Chubukov, Andrey
AU - Schmalian, Jörg
AU - Nagaosa, Naoto
N1 - Publisher Copyright:
© 2016 American Physical Society.
PY - 2016/2/18
Y1 - 2016/2/18
N2 - We study the effects of Coulomb interaction between 2D Weyl fermions with anisotropic dispersion which displays relativistic dynamics along one direction and nonrelativistic dynamics along the other. Such a dispersion can be realized in phosphorene under electric field or strain, in TiO2/VO2 superlattices, and, more generally, at the quantum critical point between a nodal semimetal and an insulator in systems with a chiral symmetry. Using the one-loop renormalization group approach in combination with the large-N expansion, we find that the system displays interaction-driven non-Fermi liquid behavior in a wide range of intermediate frequencies and marginal Fermi liquid behavior at the smallest frequencies. In the non-Fermi liquid regime, the quasiparticle residue Z at energy E scales as ZEa with a>0, and the parameters of the fermionic dispersion acquire anomalous dimensions. In the marginal Fermi-liquid regime, Z(|logE|)-b with universal b=3/2.
AB - We study the effects of Coulomb interaction between 2D Weyl fermions with anisotropic dispersion which displays relativistic dynamics along one direction and nonrelativistic dynamics along the other. Such a dispersion can be realized in phosphorene under electric field or strain, in TiO2/VO2 superlattices, and, more generally, at the quantum critical point between a nodal semimetal and an insulator in systems with a chiral symmetry. Using the one-loop renormalization group approach in combination with the large-N expansion, we find that the system displays interaction-driven non-Fermi liquid behavior in a wide range of intermediate frequencies and marginal Fermi liquid behavior at the smallest frequencies. In the non-Fermi liquid regime, the quasiparticle residue Z at energy E scales as ZEa with a>0, and the parameters of the fermionic dispersion acquire anomalous dimensions. In the marginal Fermi-liquid regime, Z(|logE|)-b with universal b=3/2.
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U2 - 10.1103/PhysRevLett.116.076803
DO - 10.1103/PhysRevLett.116.076803
M3 - Article
C2 - 26943551
AN - SCOPUS:84959449178
SN - 0031-9007
VL - 116
JO - Physical review letters
JF - Physical review letters
IS - 7
M1 - 076803
ER -