Entanglement spectroscopy of chiral edge modes in the quantum Hall effect
We investigate the entanglement entropy in the integer quantum Hall effect in the presence of an edge, performing an exact calculation directly from the microscopic two-dimensional wave function. The edge contribution is shown to coincide exactly with that of a chiral Dirac fermion, and this corresp...
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| Veröffentlicht in: | Physical review. B 2020-03, Vol.101 (11), p.1, Article 115136 |
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| creator | Estienne, Benoit Stéphan, Jean-Marie |
| description | We investigate the entanglement entropy in the integer quantum Hall effect in the presence of an edge, performing an exact calculation directly from the microscopic two-dimensional wave function. The edge contribution is shown to coincide exactly with that of a chiral Dirac fermion, and this correspondence holds for an arbitrary collection of intervals. In particular, for a single interval, the celebrated conformal formula is recovered with left and right central charges c+c¯=1. Using Monte Carlo techniques, we establish that this behavior persists for strongly interacting systems such as Laughlin liquids. This illustrates how entanglement entropy is not only capable of detecting the presence of massless degrees of freedom, but also of pinpointing their position in real space, as well as elucidating their nature. |
| doi_str_mv | 10.1103/PhysRevB.101.115136 |
| format | Article |
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| source | American Physical Society Journals |
| subjects | Electromagnetism Entropy Fermions General Physics Mathematical Physics Physics Quantum entanglement Quantum Hall effect Wave functions |
| title | Entanglement spectroscopy of chiral edge modes in the quantum Hall effect |
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