Abstract
Spectrum of two charged particles in a system of two parallel quantum wires coupled by tunneling in external perpendicular magnetic field is investigated. Both cases of the same and opposite charge signs are studied. We reduce the problem to single polynomial equations depending on the symmetry properties of states and locating all the poles of the scattering amplitude in a unified manner. Field dependence of physically meaningful poles corresponding to the bound states and resonances of scattering is studied. The presence of magnetic field results in decrease of the energy splitting between symmetric and antisymmetric states of two opposite charges (say excitons), which may be regarded as the effective suppression of tunneling between wires. It is shown that in sufficiently high magnetic fields interwire resonant states appear in the spectra. Existence of such resonances should lead to important consequences for the properties of electron and electron-hole liquids in the system.
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