Orthogonality catastrophe and spontaneous symmetry breaking in double-layer Fermi-liquid–like states
Institute for Theoretical Physics, University of California
Santa Barbara, CA 93106-4030, USA
2 Department of Physics, The Ohio State University - Columbus, OH 43210, USA
Accepted: 17 October 2000
The double-layer electron system with total filling factor can be regarded as two separate Fermi-liquid–like states with when the layer separation is sufficiently large and there is no tunneling. The weak tunneling in this state suffers an orthogonality catastrophe and becomes irrelevant. When the symmetric and antisymmetric combinations of layer indices are taken as the pseudospin degrees of freedom, our results indicate that the first-order transition occurs from the above pseudospin-unpolarized state to the pseudospin-polarized Fermi-liquid–like state with as the tunneling strength becomes sufficiently large.
PACS: 73.40.Hm – Quantum Hall effect (integer and fractional) / 73.20.Dx – Electron states in low-dimensional structures (superlattices, quantum well structures and multilayers)
© EDP Sciences, 2000