Universal modelling of oscillations in fractional quantum Hall fluids
Density oscillations in quantum fluids can reveal their fundamental characteristic features. In this work, we study the density oscillation of incompressible fractional quantum Hall (FQH) fluids created by flux insertion. For the model Laughlin state, we find that the complex oscillations seen in...
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| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/181364 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | Density oscillations in quantum fluids can reveal their fundamental
characteristic features. In this work, we study the density oscillation of
incompressible fractional quantum Hall (FQH) fluids created by flux insertion.
For the model Laughlin state, we find that the complex oscillations seen in
various density profiles in real space can be universally captured by a simple
damped oscillator model in the occupation-number space. It requires only two
independent fitting parameters or characteristic length scales: the decay
length and the oscillation wave number. Realistic Coulomb quasiholes can be
viewed as Laughlin quasiholes dressed by magnetorotons, which can be modeled by
a generalized damped oscillator model. Our work reveals the fundamental
connections between the oscillations seen in various aspects of FQH fluids such
as in the density of quasiholes, edge, and the pair correlation function. The
presented model is useful for the study of quasihole sizes for their control
and braiding in experiments and large-scale numerical computation of
variational energies. |
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