TY - JOUR
T1 - Theory of Disorder-Induced Half-Integer Thermal Hall Conductance
AU - Mross, David F.
AU - Oreg, Yuval
AU - Stern, Ady
AU - Margalit, Gilad
AU - Heiblum, Moty
N1 - Two upcoming works by D. Feldman and by B. Halperin et al. [36] study disorder-based mechanisms to explain the experimentally observed κxy. We thank them for sharing their insights on this topic. We would also like to thank Jason Alicea, Olexei Motrunich, Pavel Ostrovsky, Eran Sagi, Michael Zaletel, and especially Mitali Banerjee for fruitful discussions. This work was performed in part at the Aspen Center for Physics, which is supported by National Science Foundation Grant No. PHY-1607611 (D. F. M. and Y. O.) and partially supported by a grant from the Simons Foundation (D. F. M.); the Israel Science Foundation (D. F. M., Y. O., A. S., M. H.); the Minerva foundation with funding from the Federal German Ministry for Education and Research (D. F. M. and M. H.); the Binational Science Foundation (D. F. M. and Y. O.); the European Research Council under the European Community’s Seventh Framework Program (FP7/2007-2013)/ERC Grant Agreement No. 339070 (M. H.) and Grant Agreement No. 340210 (Y. O. and A. S.); Microsoft Station Q (A. S.); the DFG (CRC/Transregio 183, EI 519/7-1) (Y. O. and A. S.); and the German Israeli Foundation, Grant No. I-1241-303.10/2014 (M. H.).
PY - 2018/7/9
Y1 - 2018/7/9
N2 - The thermal Hall conductance in the half-filled first Landau level was recently measured to take the quantized noninteger value κxy=5/2 (in units of temperature times π2kB2/3h), which indicates a non-Abelian phase of matter. Such exotic states have long been predicted to arise at this filling factor, but the measured value disagrees with numerical studies, which predict κxy=3/2 or 7/2. We resolve this contradiction by invoking the disorder-induced formation of mesoscopic puddles with locally κxy=3/2 or 7/2. Interactions between these puddles generate a coherent macroscopic state that exhibits a plateau with quantized κxy=5/2. The non-Abelian quasiparticles characterizing this phase are distinct from those of the microscopic puddles and, by the same mechanism, could even emerge from a system comprised of microscopic Abelian puddles.
AB - The thermal Hall conductance in the half-filled first Landau level was recently measured to take the quantized noninteger value κxy=5/2 (in units of temperature times π2kB2/3h), which indicates a non-Abelian phase of matter. Such exotic states have long been predicted to arise at this filling factor, but the measured value disagrees with numerical studies, which predict κxy=3/2 or 7/2. We resolve this contradiction by invoking the disorder-induced formation of mesoscopic puddles with locally κxy=3/2 or 7/2. Interactions between these puddles generate a coherent macroscopic state that exhibits a plateau with quantized κxy=5/2. The non-Abelian quasiparticles characterizing this phase are distinct from those of the microscopic puddles and, by the same mechanism, could even emerge from a system comprised of microscopic Abelian puddles.
U2 - 10.1103/PhysRevLett.121.026801
DO - 10.1103/PhysRevLett.121.026801
M3 - مقالة
SN - 0031-9007
VL - 121
JO - Physical review letters
JF - Physical review letters
IS - 2
M1 - 026801
ER -