dorsal/arxiv
View SchemaOn The Quantum Theory of Hall Effect
| Authors | F. Ghaboussi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9603011 |
| URL | https://arxiv.org/abs/quant-ph/9603011 |
| Journal | Int.J.Theor.Phys. 36 (1997) 923-934 |
Abstract
We discuss a model of both classical and integer quantum Hall-effect which is based on a semi-classical Schroedinger-Chern-Simons-action, where the Ohm-equations result as equations of motion. The quantization of the classical Chern-Simons-part of action under typical quantum Hall conditions results in the quantized Hall conductivity. We show further that the classical Hall-effect is described by a theory which arises as the classical limit of a theory of quantum Hall-effect. The model explains also the preference and the domain of the edge currents on the boundary of samples.
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"abstract": "We discuss a model of both classical and integer quantum Hall-effect which is\nbased on a semi-classical Schroedinger-Chern-Simons-action, where the\nOhm-equations result as equations of motion. The quantization of the classical\nChern-Simons-part of action under typical quantum Hall conditions results in\nthe quantized Hall conductivity. We show further that the classical Hall-effect\nis described by a theory which arises as the classical limit of a theory of\nquantum Hall-effect. The model explains also the preference and the domain of\nthe edge currents on the boundary of samples.",
"arxiv_id": "quant-ph/9603011",
"authors": [
"F. Ghaboussi"
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"journal_ref": "Int.J.Theor.Phys. 36 (1997) 923-934",
"title": "On The Quantum Theory of Hall Effect",
"url": "https://arxiv.org/abs/quant-ph/9603011"
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