Proposal on Tunneling Effect between Quantum Hall States

Sasaki, Shosuke

doi:info:doi/10.4236/jmp.2013.49A001

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タイトル	Proposal on Tunneling Effect between Quantum Hall States
著者	Sasaki, Shosuke Sasaki, Shosuke
キーワード等	Quantum Hall Effect
	Tunneling Effect
	ac-Josephson Effect
抄録	In the integer and fractional quantum Hall effects, the electric current flows through a thin layer under the strong magnetic field. The diagonal resistance becomes very small at integer and specific fractional filling factors where the electron scatterings are very few. Accordingly the coherent length is large and therefore a tunneling effect of electrons may be observed. We consider a new type of a quantum Hall device which has a narrow potential barrier in the thin layer. Then the electrons flow with tunneling effect through the potential barrier. When the oscillating magnetic field is applied in addition to the constant field, the voltage steps may appear in the curve of voltage V versus electric current I. If the voltage steps are found in the experiment, it is confirmed that the 2D electron system yields the same phenomenon as that of the ac-Josephson effect in a superconducting system. Furthermore the step V is related to the transfer charge Q as V = (hf)/Q where f is the frequency of the oscillating field and h is the Planck constant. Then the detection of the step V determines the transfer charge Q. The ratio Q/e (e is the elementary charge) clarifies the origin of the transfer charge. Many conditions are required for us to observe the tunneling phenomenon. The conditions are examined in details in this article.
公開者	Scientific Research
掲載誌名	Journal of Modern Physics
巻	4
号	9A
開始ページ	1
終了ページ	7
刊行年月	2013-09
ISSN	21531196
DOI	info:doi/10.4236/jmp.2013.49A001
URL	http://hdl.handle.net/11094/27147
権利情報	Copyright © 2013 SciRes.
権利情報	http://creativecommons.org/licenses/by/4.0/
言語	英語

著者版フラグ	publisher
NII資源タイプ	学術雑誌論文
ローカル資源タイプ	学術雑誌論文
dcmi資源タイプ	text
DCTERMS.bibliographicCitation	Journal of Modern Physics.4(9A) P.1-P.7
DC.title	Proposal on Tunneling Effect between Quantum Hall States
DC.creator	Sasaki, Shosuke
DC.publisher	Scientific Research
DC.language" scheme="DCTERMS.RFC1766	英語
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2013-09
DC.identifier	info:doi/10.4236/jmp.2013.49A001
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/27147
DC.subject	Quantum Hall Effect
	Tunneling Effect
	ac-Josephson Effect
DCTERMS.abstract	In the integer and fractional quantum Hall effects, the electric current flows through a thin layer under the strong magnetic field. The diagonal resistance becomes very small at integer and specific fractional filling factors where the electron scatterings are very few. Accordingly the coherent length is large and therefore a tunneling effect of electrons may be observed. We consider a new type of a quantum Hall device which has a narrow potential barrier in the thin layer. Then the electrons flow with tunneling effect through the potential barrier. When the oscillating magnetic field is applied in addition to the constant field, the voltage steps may appear in the curve of voltage V versus electric current I. If the voltage steps are found in the experiment, it is confirmed that the 2D electron system yields the same phenomenon as that of the ac-Josephson effect in a superconducting system. Furthermore the step V is related to the transfer charge Q as V = (hf)/Q where f is the frequency of the oscillating field and h is the Planck constant. Then the detection of the step V determines the transfer charge Q. The ratio Q/e (e is the elementary charge) clarifies the origin of the transfer charge. Many conditions are required for us to observe the tunneling phenomenon. The conditions are examined in details in this article.
DC.rights	Copyright © 2013 SciRes.
DC.rights	http://creativecommons.org/licenses/by/4.0/
citation_title	Proposal on Tunneling Effect between Quantum Hall States
citation_author	Sasaki, Shosuke
citation_publisher	Scientific Research
citation_language	英語
citation_date	2013-09
citation_journal_title	Journal of Modern Physics
citation_volume	4
citation_issue	9A
citation_firstpage	1
citation_lastpage	7
citation_issn	21531196
citation_doi	info:doi/10.4236/jmp.2013.49A001
citation_public_url	http://hdl.handle.net/11094/27147
citation_keywords	Quantum Hall Effect
	Tunneling Effect
	ac-Josephson Effect

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