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F. Duncan M. Haldane
In general, I am interested in stronglyinteracting quantum
manybody condensedmatter systems, explored by nonperturbative
methods:
Quantum Hall effect: I have been studying the stucture and
stability of edges between different quantum Hall states of the
twodimensional
electron gas. This is relevant to issues of edge transport, and
also to observed transitions between different QHE states at the
same Landau filling
factor as quantumwell parameters are changed. I have also been
studying the nature of the "Fermi surface" that appears in a
halffilled Landau level,
taking a microscopic viewpoint that should complement the
effective ChernSimons fermion approach of Halperin, Lee and
Read.
Fractional Statistics: A few years ago, studies of integrable
models (below) led me to formulate a description of fractional
statistics based on a
generalized Pauli exclusion principle, now called "exclusion
statistics"; this is closely related to the "anyon" formulation.
I have been interested in
applications of this in one and two dimensions.
Integrable 1D Systems: We have been studying the remarkable
correlation functions of the integrable onedimensional systems
with 1/r2
interactions (CalogeroSutherland, and HaldaneShastry models).
These models may be thought of as describing an "ideal gas with
fractional
statistics". These are the first nontrivial models for which
explicit correlation functions have been found exactly, and can
be studied in detail.
Luttinger liquids and quantizing the Fermi surface: I have also
been studying the extension of onedimensional "bosonization"
techniques to
describe Fermisurface degrees of freedom in higher dimensions.
This provides a new viewpoint for Fermiliquid theory, and
suggests possibilities
for possible breakdown of FLT in dimensions greater than one. I
am attempting to incorporate gaugefield couplings to the Fermi
surface degrees of
freedom for describing the halffilled Landau level.
Homepage

S e l e c t e d P u b l i c a t i o n s:

 F. D. M. Haldane
Stability of Chiral Luttinger Liquids and Abelian Quantum Hall States
Phys. Rev. Lett. 74, (1995).
 F. D. M. Haldane
Luttinger's Theorem and Bosonization of the Fermi Surface
in Perspectives in ManyParticle Physics, eds. R. Broglia and J. R. Schrieffer,
(North Holland, Amsterdam 1994, pp 530).
 Z. N. C. Ha and F. D. M. Haldane
Correlation Functions of the Supersymmetric tJ model with InverseSquare Exchange
Phys. Rev. Lett. 73, 2887 (1994).
 F. D. M. Haldane and J. C. Talstra
Dynamical T=0 Correlations of the S= 1/2 OneDimensional Heisenberg Antiferromagnet with 1/r2 Exchange in a Magnetic field
Phys. Rev. B 50, 6889 (1994).
 F. D. M. Haldane
Physics of the Ideal Semion Gas: Spinons and Quantum Symmetries of the Integrable HaldaneShastry Spin Chain
in Correlation Effects in LowDimensional Electron Systems,
eds. A. Okiji and N. Kawakami, (Springer, Berlin, New York 1994, pp 320).
 F. D. M. Haldane and M. R. Zirnbauer
Exact calculation of the GroundState Dynamical Spin Correlation Function of a S =1/2 Antiferromagnetic Heisenberg Chain with Free Spinons
Phys. Rev. Lett. 71, 4055 (1993).
 F. D. M. Haldane
Fractional Statistics in Arbitrary Dimensions: A Generalization of the Pauli Principle
Phys. Rev. Lett. 67, 937 (1991).


