“Bimetric theory of fractional quantum hall states" By Andrey Gromov (University of California, Berkeley)

Monday, October 22, 2018 - 1:00pm to 2:00pm
Condensed Matter Physics Seminar


 Fractional quantum Hall (FQH) states are topologically ordered. Additionally, FQH states support a

collective neutral excitation known as the Girvin-MacDonald-Platzman (GMP) mode or magnetoroton.

Certain features of this mode are independent of the microscopic details. The objective of the talk is to

construct an effective theory includes both topological properties and the massive GMP mode. The theory

reproduces the universal features of chiral lowest Landau level (LLL) FQH states which lie beyond the

TQFT data, such as the projected static structure factor and the GMP algebra. The dynamics of the mode

is described by a fluctuating rank-2 symmetric, positive-definite tensor, which leads to a natural

geometric interpretation of the GMP mode. 


Source: (https://arxiv.org/abs/1705.06739)

PAB 4-330