Neutral superfluid modes and ‘‘magnetic’’ monopoles in multilayered quantum Hall systems
- 21 September 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 69 (12) , 1811-1814
- https://doi.org/10.1103/physrevlett.69.1811
Abstract
We show that, in the absence of interlayer hopping, the ν=1/m quantum Hall states in double-layer systems contain a neutral gapless mode with linear dispersion, describing the relative fluctuations of the electron densities in the two layers. At finite temperature the system experiences a Kosterlitz-Thouless transition. In the presence of interlayer hopping an energy gap proportional to the square root of the hopping amplitude will be opened. In field theory this corresponds to a U(1) gauge field acquiring a mass due to the monopole-antimonopole plasma in the (2+1)-dimensional spacetime.Keywords
This publication has 24 references indexed in Scilit:
- New fractional quantum Hall state in double-layer two-dimensional electron systemsPhysical Review Letters, 1992
- Observation of a ν=1/2 fractional quantum Hall state in a double-layer electron systemPhysical Review Letters, 1992
- Topological structures, universality classes, and statistics screening in the anyon superfluidPhysical Review B, 1991
- Structure of the microscopic theory of the hierarchical fractional quantum Hall effectPhysical Review B, 1991
- Effective theories of the fractional quantum Hall effect at generic filling fractionsPhysical Review B, 1990
- Collapse of integer Hall gaps in a double-quantum-well systemPhysical Review Letters, 1990
- Magnetic-field-driven destruction of quantum Hall states in a double quantum wellPhysical Review Letters, 1990
- Energy spectrum of a layered system in a strong magnetic fieldPhysical Review B, 1989
- Collective excitations in the fractional quantum Hall effect of a multicomponent fermion systemPhysical Review B, 1986
- Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid StatesPhysical Review Letters, 1983