Fractional Chern insulators and the W∞ algebra
Physical Review B American Physical Society (APS) 85:24 (2012) 241308
Typology for quantum Hall liquids
Physical Review B American Physical Society (APS) 85:24 (2012) 241307
Charge transport in Weyl semimetals.
Physical review letters 108:4 (2012) 046602
Abstract:
We study transport in Weyl semimetals with N isotropic Weyl nodes in the presence of Coulomb interactions or disorder at temperature T. In the interacting clean limit, we determine the conductivity σ(ω,T) by solving a quantum Boltzmann equation within a "leading log" approximation and find it to be proportional to T, up to logarithmic factors arising from the flow of couplings. In the noninteracting disordered case, we compute the Kubo conductivity and show that it behaves differently for ω << T and ω >> T: in the former regime we recover a previous result, of a finite dc conductivity and a Drude width vanishing as NT(2); in the latter, we find that σ(ω,T) vanishes linearly with ω with a leading term as T → 0 equal to the clean, free-fermion result: σ(0)((N))(ω,T = 0) = Ne(2)/12h|ω|/v(F). We compare our results to transport data on Y(2)Ir(2)O(7) and comment on the possible relevance to recent experiments on Eu(2)Ir(2)O(7).Unfinished bismuth
Nature Physics Springer Nature 8:1 (2012) 7-8
Weakly coupled Pfaffian as a type I quantum Hall liquid.
Physical review letters 106:23 (2011) 236801