Instantons and the spectral function of electrons in the half-filled Landau level

Abstract

We calculate the instanton-anti-instanton action $S_{M\bar{M}}(\tau )$ in the gauge theory of the half-filled Landau level. It is found that $S_{M\bar{M}}(\tau )=(3-\eta ){\left[{\Omega }_0(\eta )\tau \right]}^{1/(3-\eta )}$ for a class of interactions $v(\mathbf{q})=V_0/q^{\eta }(0\le \eta <2)$ between electrons. This means that the instanton-anti-instanton pairs are confining so that a well defined `charged' composite fermion can exist. It is also shown that $S_{M\bar{M}}(\tau )$ can be used to calculate the spectral function of electrons from the microscopic theory within a semiclassical approximation. The resulting spectral function varies as $e^{-{\left[{\Omega }_0(\eta )/\omega \right]}^{1/(2-\eta )}}$ at low energies.

13 pages, Plain Tex, MIT-CMT-APR-94

References in corpus (4)

• Tunneling into a two-dimensional electron system in a strong magnetic field
• Non-Fermi Liquid Behavior In Quantum Critical Systems
• Compressible Phase of a Double-Layer Electron System with Total Landau-Level Filling Factor One-Half
• Topological Excitations in Compact Maxwell-Chern-Simons Theory

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