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Spin Singlet Ordering Suggested by Repulsive Interactions
Chetan Nayak, Frank Wilczek
We consider a correlated wavefunction including particle-hole pairing at half a reciprocal lattice vector for itinerant electrons hopping on a square lattice in two dimensions and…
Statistical Transmutation and Phases of Two-Dimensional Quantum Matter
Frank Wilczek
After surveying the quantum kinematics and dynamics of statistical transmutation, I show how this concept suggests a phase diagram for the two-dimensional matter in a magnetic fiel…
Physical Properties of Metals from a Renormalization Group Standpoint
Chetan Nayak, Frank Wilczek
We derive the equilibrium and transport properties of metals using renormalization group equations and finite-size scaling. Particular attention is given to the well-known cases of…
Spin-Singlet to Spin Polarized Phase Transition at : Flux-Trading in Action
Chetan Nayak, Frank Wilczek
We analyze the phase transition between spin-singlet and spin-polarized states which occurs at . The basic strategy is to use adiabatic flux-trading arguments to relate this…
Quantum Numbers of Hall Effect Skyrmions
Chetan Nayak, Frank Wilczek
By carefully considering a family of wave functions for Skyrmions in simple quantum Hall states, whose members are labelled by a non-negative integer and which properly generalizes…
Quantum Hall States of High Symmetry
Chetan Nayak, Frank Wilczek
We identify some hidden symmetries of Chern-Simons theories, such as appear in the effective theory for quantized Hall states. This allows us to determine which filling fractions a…