• Atomic Physics
• Biophysics Theory and Experiment
• Condensed Matter Experiment
• Cond Matter Theory Faculty
  • Philip W. Anderson
  • Ravindra Bhatt
  • Antonio Garcia-Garcia
  • F. Duncan M. Haldane
  • Davis Huse
  • Shivaji Sondhi
  • Sal Torquato

• Cosmology Experiment
• Cosmology Theory
• High Energy Experiment
• High Energy Theory
• Mathematical Physics
• Particle and Nuclear Astrophysics

• Quantitative and Computational Biology
• Cosmology at Princeton
• Lewis-Sigler Institute
• Princeton Center for Theoretical Physics
• Princeton Institute for the Science
  and Technology of Materials

In general, I am interested in strongly-interacting quantum many-body condensed-matter systems, explored by non-perturbative methods: Quantum Hall effect: I have been studying the stucture and stability of edges between different quantum Hall states of the two-dimensional 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 quantum-well parameters are changed. I have also been studying the nature of the "Fermi surface" that appears in a half-filled Landau level, taking a microscopic viewpoint that should complement the effective Chern-Simons 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 one-dimensional systems with 1/r2 interactions (Calogero-Sutherland, and Haldane-Shastry models). These models may be thought of as describing an "ideal gas with fractional statistics". These are the first non-trivial 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 one-dimensional "bosonization" techniques to describe Fermi-surface degrees of freedom in higher dimensions. This provides a new viewpoint for Fermi-liquid theory, and suggests possibilities for possible breakdown of FLT in dimensions greater than one. I am attempting to incorporate gauge-field couplings to the Fermi surface degrees of freedom for describing the half-filled 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 Many-Particle Physics, eds. R. Broglia and J. R. Schrieffer, (North Holland, Amsterdam 1994, pp 5-30). Z. N. C. Ha and F. D. M. Haldane Correlation Functions of the Supersymmetric t-J model with Inverse-Square Exchange Phys. Rev. Lett. 73, 2887 (1994). F. D. M. Haldane and J. C. Talstra Dynamical T=0 Correlations of the S= 1/2 One-Dimensional 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 Haldane-Shastry Spin Chain in Correlation Effects in Low-Dimensional Electron Systems, eds. A. Okiji and N. Kawakami, (Springer, Berlin, New York 1994, pp 3-20). F. D. M. Haldane and M. R. Zirnbauer Exact calculation of the Ground-State 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).