Quasiexcitons in incompressible quantum liquids

Fractional Quasiexcitons in Photoluminescence of Quantum Hall Liquids

Realistic calculations of photoluminescence spectra for a 20 nm quantum well at a filling factor ν = 1/3 are presented. The new states formed from charged excitons (trions) by correlation with the surrounding electrons are identified. These “quasiexcitons” differ from usual excitons and trions by having fractionally charged constituents. Their binding energies and emission intensities depend on...

Excitons in incompressible quantum liquids

A theory of excitons in semiconductors in the Fractional Quantum Hall (FQH) Effect regime is presented. Non-conventional properties of magnetoexcitons in this regime originate from the fact that elementary excitations of the FQH phases carry fractional charges. Properties of excitons strongly depend on the separation h between electron and hole confinement planes. When this separation is not to...

Incompressible quantum liquids and new conservation laws.

In this Letter, we investigate a class of Hamiltonians which, in addition to the usual center-of-mass momentum conservation, also have center-of-mass position conservation. We find that, regardless of the particle statistics, the energy spectrum is at least q-fold degenerate when the filling factor is p/q, where and are coprime integers. Interestingly, the simplest Hamiltonian respecting this t...

Incompressible Quantum Hall Fluid

After review the quantum Hall effect on the fuzzy two-sphere S2 and Zhang and Hu’s 4-sphere S4, the incompressible quantum Hall fluid on S2, S4 and torus are discussed respectively. Next, the corresponding Laughlin wavefunctions on S2 are also given out. The ADHM construction on S4 is discussed. We also point out that on torus, the incompressible quantum Hall fluid is related to the integrable ...

Quantum Phase Transitions in 2d Quantum Liquids∗