Fetching the paper…

Reading the bibliography…

2007

Particle-hole symmetry and the Pfaffian state

Levin, Michael, Halperin, Bertrand I., Rosenow, Bernd

Original
PDF
Post on X

Understand

We consider the properties of the Moore-Read Pfaffian state under particle-hole conjugation.

We show that the particle-hole conjugate of the Pfaffian state - or "anti-Pfaffian" state - is in a different universality class from the Pfaffian state, with different topological order.
The two states can be distinguished by both their bulk and edge physics though the difference is most dramatic at the edge: the edge of the anti-Pfaffian state has a composite structure that leads to a different thermal Hall conductance and different tunneling exponents than the Pfaffian state.
At the same time, the two states are exactly degenerate in energy for a $\nu = 5/2$ quantum Hall system in the idealized limit of zero Landau level mixing.

Particle-hole symmetry and the Pfaffian state · Around

Built on

T. Giamarchi and H. J. Schultz, Phys. Rev. B 37
1988
Earlier work this paper cites.
G. Moore and N. Read, Nucl. Phys. B 360
1991
Earlier work this paper cites.
M. Greiter, X.-G. Wen, and F. Wilczek, Phys. Rev. Lett. 66
1991
Earlier work this paper cites.
X.-G. Wen, Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
C. L. Kane, M. P. A. Fisher, and J. Polchinski, Phys. Rev. Lett. 72
1994
Earlier work this paper cites.
X.-G. Wen, Advances in Physics 44
1995
Earlier work this paper cites.

Similar

C. Nayak and F. Wilczek, Nucl. Phys. B 479
1996
Cited alongside, same era.
C. L. Kane and M. P. A. Fisher, Phys. Rev. B 55
1997
Cited alongside, same era.
E. H. Rezayi and F. D. Haldane, Phys. Rev. Lett. 84
2000
Cited alongside, same era.
R. Morf and N. d’Ambrumenil, Phys. Rev. B 68
2003
Cited alongside, same era.
J. Xia, W. Pan, C. L. Vicente, E. D. Adams, N. S. Sullivan, H. L. Stormer, D. C. Tsui, L. N. Pfeiffer, K. W. Baldwin, and K. W. West, Phys. Rev. Lett. 93
2004
Cited alongside, same era.
A. Kitaev, cond-mat/0506438 (2005)
2005
Cited alongside, same era.

Then

S. Lal, cond-mat/0611218 (2006)
2006
Later among the works it cites.
A. Stern and B. I. Halperin, Phys. Rev. Lett. 96
2006
Later among the works it cites.
P. Bonderson, A. Kitaev, and K. Shtengel, Phys. Rev. Lett. 96
2006
Later among the works it cites.
J. B. Miller, I. P. Radu, D. M. Zumbuhl, E. M. Levenson-Falk, M. A. Kastner, C. M. Marcus, L. N. Pfeiffer, and K. W. West, Nature Physics (to appear) (2007)
2007
Closest in time.
E. H. Rezayi, (private communication) (2007)
2007
Closest in time.
S.-S. Lee, S. Ryu, C. Nayak, and M. P. A. Fisher, cond-mat/0707.0478 (2007)
2007
Closest in time.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…