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Two-dimension to three-dimension transition of chiral spin liquid and fractional quantum Hall phases
by Xiaofan Wu and Ya-Hui Zhang
Submission summary
| Authors (as registered SciPost users): | Xiaofan Wu |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202401_00035v1 (pdf) |
| Date submitted: | 2024-01-26 22:44 |
| Submitted by: | Wu, Xiaofan |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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Abstract
There have been lots of interest in two-dimensional (2D) fractional phases with an emergent $U(1)$ gauge field. However, many experimental realizations are actually in three-dimensional (3D) systems with infinitely stacked 2D layers. Then a natural question arises: starting from the decoupling limit with 2+1d $U(1)$ gauge field in each layer, how does the gauge field become 3+1d when increasing inter-layer coupling? Here we propose a 2D to 3D transition through condensing inter-layer exciton. The Goldstone mode of the condensation becomes the missing $a_z$ component in the 3D phase. We applied this transition mechanism in many different systems.
Current status:
In refereeing