Abstract
In this section, we wish to use the bosonic Pfaffian state at Landau level filling fraction \(\nu=1\) and its parent Hamiltonian, to construct a parent Hamiltonian for the critical \(S=1\) spin liquid state introduced.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
G. Moore, N. Read, Nonabelions in the fractional quantum Hall effect. Nucl. Phys. B 360, 362 (1991)
M. Greiter, X.G. Wen, F. Wilczek, Paired Hall state at half filling. Phys. Rev. Lett. 66, 3205 (1991)
M. Greiter, X.G. Wen, F. Wilczek, Paired Hall states. Nucl. Phys. B 374, 567 (1992)
G. Baym, Lectures on Quantum Mechanics (Benjamin/Addison Wesley, New York, 1969)
R. Thomale, S. Rachel, P. Schmitteckert, M. Greiter, manuscript in preparation
F.D.M. Haldane, Contiuum dynamics of the 1-D Heisenberg antiferromagnet: identification with the O(3) nonlinear sigma model. Phys. Lett. 93, 464 (1983)
F.D.M. Haldane, Nonlinear field theory of large-spin Heisenberg antiferromagnets: semiclassically quantized solitons of the one-dimensional easy-axis Néel state, Phys. Rev. Lett. 50, 1153 (1983)
I. Affleck, Field theory methods and quantum critical phenomena. In: E. Brézin, J. Zinn-Justin (eds) Fields Strings and Critical Phenomena, Vol. XLIX of Les Houches Lectures (Elsevier, Amsterdam, 1990)
E. Fradkin, Field Theories of Condensed Matter Systems, Number 82 in Frontiers in Physics (Addison Wesley, Redwood City, 1991)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Greiter, M. (2011). From a Bosonic Pfaffian State to an \(\boldsymbol{\it S}\,{=}\,1\) Spin Chain. In: Mapping of Parent Hamiltonians. Springer Tracts in Modern Physics, vol 244. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24384-4_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-24384-4_4
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-24383-7
Online ISBN: 978-3-642-24384-4
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)