Showing papers by "Jinwu Ye published in 2002"

Quantum fluctuation generated vortices, dual singular-gauge transformation, and zero-temperature transition from d-wave superconductor to underdoped regime

Abstract: By extending the original Anderson singular-gauge transformation for static vortices to two mutual flux-attaching singular-gauge transformations for moving vortices, we derive an effective action describing the zero-temperature quantum phase transition from d-wave superconductor to underdoped regime In this action, quantum fluctuation generated vortices couple to quasiparticles by a mutual statistical interaction with statistical angle $\ensuremath{\theta}=1/2$ and a dynamic Doppler shift term The vortices also interact with each other by long-range logarithmic interactions due to charge fluctuation Neglecting the charge fluctuation first, we find that the mutual statistical interaction is exactly marginal In the underdoped regime, the quasiparticles are described by (2+1)-dimensional QED; in the superconducting regime, they are essentially free However, putting back the charge fluctuation changes the physical picture dramatically: both the dynamic Doppler shift term and the mutual statistical interaction become irrelevant short-ranged interactions on both sides of the quantum critical point There are no spin-charge separation and no dynamic gapless gauge field in the Cooper-pair picture The formalism developed at $T=0$ is applied to study thermally generated vortices in the vortex plasma regime near the finite temperature Kosterlitz-Thouless transition The important effects of the $\mathrm{AB}$ phase scattering and the Doppler shift on angle resolved photoemission spectroscopy data are also briefly reviewed

Gauge-invariant Green function in 3+1 dimensional QED (QCD) and 2+1 dimensional Abelian (Non-Abelian) Chern-Simon theory

Abstract: By applying the simple and effective method developed to study the the gauge-invariant fermion Green function in $ 2+1 $ dimensional non-compact QED, we study the gauge-invariant Green function in $ 3+1 $ dimensional QED and $ 2+1 $ dimensional non-compact Chern-Simon theory. We also extend our results to the corresponding $ SU(M) $ non-Abelian gauge theories. Implications for Fractional Quantum Hall effect are briefly discussed.