NonAbelian exclusion statistics - INSPIRE

DataBETA

NonAbelian exclusion statistics

Sathya Guruswamy
(
- Amsterdam U.
)
,
Kareljan Schoutens
(
- Amsterdam U.
)

Mar, 1999

18 pages

Published in:

Nucl.Phys.B 556 (1999) 530-544

e-Print:

cond-mat/9903045 [cond-mat]

DOI:

10.1016/S0550-3213(99)00358-2

Report number:

ITFA-98-29

View in:

reference search14 citations

Citations per year

Abstract: (arXiv)

We introduce the notion of `order-

k

non-abelian exclusion statistics'. We derive the associated thermodynamic equations by employing the Thermodynamic Bethe Ansatz for specific non-diagonal scattering matrices. We make contact with results obtained by different methods and we point out connections with `fermionic sum formulas' for characters in a Conformal Field Theory. As an application, we derive thermodynamic distribution functions for quasi-holes over a class of non-abelian quantum Hall states recently proposed by Read and Rezayi.

Note:

LaTeX, 18 pages Report-no: ITFA-98-29 Subj-class: Statistical Mechanics; Mesoscopic Systems and Quantum Hall Effect Journal-ref: Nucl. Phys. B556 (1999) 530-544

statistical mechanics
spin: statistics
Wess-Zumino-Witten model: SU(2)
Bethe ansatz
Hall effect
bibliography

References(51)

Figures(0)

‘‘Spinon gas’’ description of the S=1/2 Heisenberg chain with inverse-square exchange: Exact spectrum and thermodynamics

F.D.M. Haldane

- Phys.Rev.Lett. 66 (1991) 11, 1529
•
DOI:
- 10.1103/PhysRevLett.66.1529

Construction of modular branching functions from Bethe's equations in the three state Potts chain

Rinat Kedem
(
- SUNY, Stony Brook
)
,
Barry M. McCoy
(
- SUNY, Stony Brook
)

- J.Statist.Phys. 71 (1993) 865
•
e-Print:
- hep-th/9210129
•
DOI:
- 10.1007/BF01049953

Virasoro characters from Bethe equations for the critical ferromagnetic three state Potts model

Srinandan Dasmahapatra
(
- ICTP, Trieste
)
,
Rinat Kedem
(
- SUNY, Stony Brook
)
,
Barry M. McCoy
(
- SUNY, Stony Brook
)
,
Ezer Melzer
(
- SUNY, Stony Brook
)

- J.Statist.Phys. 74 (1994) 239
•
e-Print:
- hep-th/9304150
•
DOI:
- 10.1007/BF02186814

e-Print:
- cond-mat/9408068

- Phys.Rev.Lett. 74 3005

Exclusion statistics in conformal field theory spectra

Kareljan Schoutens
(
- Amsterdam U.
)

- Phys.Rev.Lett. 79 (1997) 2608-2611
•
e-Print:
- cond-mat/9706166
•
DOI:
- 10.1103/PhysRevLett.79.2608

Exclusion statistics in conformal field theory: Generalized fermions and spinons for level 1 WZW theories

Peter Bouwknegt
(
- Adelaide U.
)
,
Kareljan Schoutens
(
- Amsterdam U.
)

- Nucl.Phys.B 547 (1999) 501-537
•
e-Print:
- hep-th/9810113
•
DOI:
- 10.1016/S0550-3213(99)00095-4

'Fractional statistics' in arbitrary dimensions: A Generalization of the Pauli principle

F.D.M. Haldane
(
- Princeton U.
)

- Phys.Rev.Lett. 67 (1991) 937-940
•
DOI:
- 10.1103/PhysRevLett.67.937

Quasiparticles in fractional quantum Hall effect edge theories

R.A.J. van Elburg
(
- Amsterdam U., Zeeman Lab. and
- Amsterdam U.
)
,
K. Schoutens
(
- Amsterdam U., Zeeman Lab. and
- Amsterdam U.
)

- Phys.Rev.B 58 (1998) 15704-15716
•
e-Print:
- cond-mat/9801272
•
DOI:
- 10.1103/PhysRevB.58.15704

Nonabelions in the fractional quantum Hall effect

Gregory W. Moore
(
- Yale U.
)
,
N. Read
(
- Yale U.
)

- Nucl.Phys.B 360 (1991) 362-396
•
DOI:
- 10.1016/0550-3213(91)90407-O

2 n -quasihole states realize 2 n −1 -dimensional spinor braiding statistics in paired quantum Hall states

- Nucl.Phys.B 479 (1996) 529-553
•
e-Print:
- cond-mat/9605145
•
DOI:
- 10.1016/0550-3213(96)00430-0

Beyond paired quantum Hall states: Parafermions and incompressible states in the first excited Landau level

N. Read
(
- UC, Santa Barbara and
- Yale U.
)
,
E. Rezayi
(
- UC, Santa Barbara and
- Cal State, L.A.
)

- Phys.Rev.B 59 (1999) 8084
•
e-Print:
- cond-mat/9809384
•
DOI:
- 10.1103/PhysRevB.59.8084

e-Print:
- cond-mat/9811352

Exclusion Statistics for Non-Abelian Quantum Hall States

Kareljan Schoutens
(
- Unlisted
)

- Phys.Rev.Lett. 81 (1998) 1929-1932
•
e-Print:
- cond-mat/9803169
•
DOI:
- 10.1103/PhysRevLett.81.1929

Landau-Ginzburg theories for nonAbelian quantum Hall states

Eduardo H. Fradkin
(
- Illinois U., Urbana and
- Santa Barbara, KITP
)
,
Chetan Nayak
(
- UCLA and
- Santa Barbara, KITP
)
,
Kareljan Schoutens
(
- Amsterdam U.
)

- Nucl.Phys.B 546 (1999) 711-730
•
e-Print:
- cond-mat/9811005
•
DOI:
- 10.1016/S0550-3213(99)00039-5

Spinon basis for higher level SU(2) WZW models

- Phys.Lett.B 359 (1995) 304-312
•
e-Print:
- hep-th/9412108
•
DOI:
- 10.1016/0370-2693(95)01078-5

- Phys.Lett.A 250 293

e-Print:
- cond-mat/9805232

Kinks in the Kondo problem

Paul Fendley
(
- Boston U.
)

- Phys.Rev.Lett. 71 (1993) 2485
•
e-Print:
- cond-mat/9304031
•
DOI:
- 10.1103/PhysRevLett.71.2485

Statistical distribution for generalized ideal gas of fractional statistics particles

Yong-Shi Wu
(
- Utah U.
)

- Phys.Rev.Lett. 73 (1994) 922
•
DOI:
- 10.1103/PhysRevLett.73.922

- Mod.Phys.Lett.B 8 319

Haldane’s fractional exclusion statistics for multicomponent systems

- Phys.Rev.B 51 (1995) 8, 5239-5243
•
e-Print:
- cond-mat/9408015
•
DOI:
- 10.1103/PhysRevB.51.5239

e-Print:
- cond-mat/9811415

- Phys.Rev.B 51 13357

Yangian symmetry of integrable quantum chains with long range interactions and a new description of states in conformal field theory

F.D.M. Haldane
(
- Princeton U. and
- Ecole Normale Superieure
)
,
Z.N.C. Ha
(
- Princeton U. and
- Ecole Normale Superieure
)
,
J.C. Talstra
(
- Princeton U. and
- Ecole Normale Superieure
)
,
Denis Bernard
(
- Saclay
)
,
V. Pasquier
(
- Saclay
)

- Phys.Rev.Lett. 69 (1992) 2021-2025
•
DOI:
- 10.1103/PhysRevLett.69.2021

1-25 of 51
1
2
3
25 / page