Fetching the paper…

Reading the bibliography…

2017

Investigating anisotropic quantum Hall states with bi-metric geometry

Gromov, Andrey, Geraedts, Scott D., Bradlyn, Barry

Original
PDF
Post on X

Understand

We construct a low energy effective theory of anisotropic fractional quantum Hall (FQH) states.

We develop a formalism similar to that used in the bi-metric approach to massive gravity, and apply it to describe abelian anisotropic FQH states in the presence of external electromagnetic and geometric backgrounds.
We derive a relationship between the shift, the Hall viscosity, and a new quantized coupling to anisotropy, which we term "anisospin".
We verify this relationship by numerically computing the Hall viscosity for a variety of anisotropic quantum Hall states using the density matrix renormalization group (DMRG).

Investigating anisotropic quantum Hall states with bi-metric geometry · Around

Built on

N. Read, Phys Rev Lett 62
1989
Earlier work this paper cites.
A. Lopez and E. Fradkin, Phys. Rev. B 44
1991
Earlier work this paper cites.
D.-H. Lee and X.-G. Wen, Physical Review B 49
1994
Earlier work this paper cites.
B. Bradlyn, M. Goldstein, and N. Read, Physical Review B 86
2012
Earlier work this paper cites.

Similar

J. Maciejko, B. Hsu, S. Kivelson, Y. Park, and S. Sondhi, Physical Review B 88
2013
Cited alongside, same era.
A. G. Abanov and A. Gromov, Phys. Rev. B 90
2014
Cited alongside, same era.
Y. You, G. Y. Cho, and E. Fradkin, Physical Review X 4
2014
Cited alongside, same era.

Then

G. Y. Cho, Y. You, and E. Fradkin, Phys. Rev. B 90
2014
Later among the works it cites.
B. Bradlyn and N. Read, Phys. Rev. B 91
2015
Later among the works it cites.
A. Gromov and A. G. Abanov, Physical review letters 114
2015
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…