Quantum magnetotransport in a nondegenerate two-dimensional electron gas under extremely strong magnetic fields
The quantum magnetotransport properties of a nondegenerate two-dimensional gas of electrons interacting with helium-vapor atoms above a liquid-helium surface is studied in magnetic fields up to 20 T by the ac capacitive coupling technique. The data and the theoretical analysis performed show that in...
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| Veröffentlicht in: | Physical review. B, Condensed matter Condensed matter, 1994-10, Vol.50 (16), p.11570-11576 |
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| container_end_page | 11576 |
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| container_issue | 16 |
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| container_title | Physical review. B, Condensed matter |
| container_volume | 50 |
| creator | Peters, PJ Scheuzger, P Lea, MJ Monarkha, YP Sommerfeld, PK van der Heijden RW |
| description | The quantum magnetotransport properties of a nondegenerate two-dimensional gas of electrons interacting with helium-vapor atoms above a liquid-helium surface is studied in magnetic fields up to 20 T by the ac capacitive coupling technique. The data and the theoretical analysis performed show that in the ultraquantum limit the generalized or effective collision frequency [nu][sub eff] of the electrons increases faster with magnetic field than the cyclotron frequency [omega][sub [ital c]]. Under extremely strong magnetic fields, where the Landau level width becomes comparable to or larger than the thermal energy, the high-cyclotron-frequency approximation [omega][sub [ital c]][much gt][nu][sub eff], usually assumed in quantum transport theories, is no longer valid. The self-consistent Born-approximation theory is extended to be valid for any ratio of [omega][sub [ital c]] to [nu][sub eff]. Then it describes the data perfectly without any adjustable parameter. The results reported here also give strong support to the universality of the linear Hall resistivity. |
| doi_str_mv | 10.1103/PhysRevB.50.11570 |
| format | Article |
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The data and the theoretical analysis performed show that in the ultraquantum limit the generalized or effective collision frequency [nu][sub eff] of the electrons increases faster with magnetic field than the cyclotron frequency [omega][sub [ital c]]. Under extremely strong magnetic fields, where the Landau level width becomes comparable to or larger than the thermal energy, the high-cyclotron-frequency approximation [omega][sub [ital c]][much gt][nu][sub eff], usually assumed in quantum transport theories, is no longer valid. The self-consistent Born-approximation theory is extended to be valid for any ratio of [omega][sub [ital c]] to [nu][sub eff]. Then it describes the data perfectly without any adjustable parameter. The results reported here also give strong support to the universality of the linear Hall resistivity.</description><identifier>ISSN: 0163-1829</identifier><identifier>EISSN: 1095-3795</identifier><identifier>DOI: 10.1103/PhysRevB.50.11570</identifier><identifier>PMID: 9975289</identifier><language>eng</language><publisher>United States</publisher><subject>CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY ; ELECTRON GAS ; ELECTRONIC STRUCTURE ; ELEMENTS ; EVEN-EVEN NUCLEI ; FLUIDS ; GASES ; HALL EFFECT ; HELIUM ; HELIUM 4 ; HELIUM II ; HELIUM ISOTOPES ; ISOTOPES ; LIGHT NUCLEI ; LIQUIDS ; MAGNETIC FIELDS ; MECHANICS ; NONMETALS ; NUCLEI ; QUANTUM FLUIDS ; QUANTUM MECHANICS ; RARE GASES ; STABLE ISOTOPES ; SURFACE PROPERTIES ; TEMPERATURE DEPENDENCE ; TEMPERATURE RANGE 0000-0013 K ; TEMPERATURE RANGE 665420 -- Superfluidity-- (1992-) ; TRANSPORT THEORY</subject><ispartof>Physical review. 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B, Condensed matter</title><addtitle>Phys Rev B Condens Matter</addtitle><description>The quantum magnetotransport properties of a nondegenerate two-dimensional gas of electrons interacting with helium-vapor atoms above a liquid-helium surface is studied in magnetic fields up to 20 T by the ac capacitive coupling technique. The data and the theoretical analysis performed show that in the ultraquantum limit the generalized or effective collision frequency [nu][sub eff] of the electrons increases faster with magnetic field than the cyclotron frequency [omega][sub [ital c]]. Under extremely strong magnetic fields, where the Landau level width becomes comparable to or larger than the thermal energy, the high-cyclotron-frequency approximation [omega][sub [ital c]][much gt][nu][sub eff], usually assumed in quantum transport theories, is no longer valid. The self-consistent Born-approximation theory is extended to be valid for any ratio of [omega][sub [ital c]] to [nu][sub eff]. Then it describes the data perfectly without any adjustable parameter. The results reported here also give strong support to the universality of the linear Hall resistivity.</description><subject>CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY</subject><subject>ELECTRON GAS</subject><subject>ELECTRONIC STRUCTURE</subject><subject>ELEMENTS</subject><subject>EVEN-EVEN NUCLEI</subject><subject>FLUIDS</subject><subject>GASES</subject><subject>HALL EFFECT</subject><subject>HELIUM</subject><subject>HELIUM 4</subject><subject>HELIUM II</subject><subject>HELIUM ISOTOPES</subject><subject>ISOTOPES</subject><subject>LIGHT NUCLEI</subject><subject>LIQUIDS</subject><subject>MAGNETIC FIELDS</subject><subject>MECHANICS</subject><subject>NONMETALS</subject><subject>NUCLEI</subject><subject>QUANTUM FLUIDS</subject><subject>QUANTUM MECHANICS</subject><subject>RARE GASES</subject><subject>STABLE ISOTOPES</subject><subject>SURFACE PROPERTIES</subject><subject>TEMPERATURE DEPENDENCE</subject><subject>TEMPERATURE RANGE 0000-0013 K</subject><subject>TEMPERATURE RANGE 665420 -- Superfluidity-- (1992-)</subject><subject>TRANSPORT THEORY</subject><issn>0163-1829</issn><issn>1095-3795</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1994</creationdate><recordtype>article</recordtype><recordid>eNo9kU9PGzEQxS1EFULoB-BQyeLEZan_rOP1ERCUSpEKiJ4tx57duNq1g-1tybfvRkk7l5FmfvM0eg-hS0puKCX86_Nml1_h992N2A-EJCdoTokSFZdKnKI5oUte0YapM3Se8y8yFVuqGZopJQVr1BzFl9GEMg54MF2AEksyIW9jKtgHbHCIwUEHAZIpgMufWDk_QMg-BtNj6MGWFAPuTMbjRCYMHyXBAP0O5_2mO-p6i1sPvcsX6FNr-gyfj32Bfj4-vN0_Vasf377f364qy2pSqjUjNeOSOu4MY9RKx5ljRvK1dbWxwnLOzFJyQhrJFalp65qaKtIKyi1Ywxfo6qAbc_E6W1_AbmwMYfpYy8kGosgEXR-gbYrvI-SiB58t9L0JEMesaSMUo5LTZkLpAbUp5pyg1dvkB5N2mhK9z0L_y0KL_WDKYrr5cpQf1wO4_xdH8_lfXpSISw</recordid><startdate>19941015</startdate><enddate>19941015</enddate><creator>Peters, PJ</creator><creator>Scheuzger, P</creator><creator>Lea, MJ</creator><creator>Monarkha, YP</creator><creator>Sommerfeld, PK</creator><creator>van der Heijden RW</creator><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>OTOTI</scope></search><sort><creationdate>19941015</creationdate><title>Quantum magnetotransport in a nondegenerate two-dimensional electron gas under extremely strong magnetic fields</title><author>Peters, PJ ; Scheuzger, P ; Lea, MJ ; Monarkha, YP ; Sommerfeld, PK ; van der Heijden RW</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c240t-b2042371d3da221c7d32d2a73bcd4ac5c332a673008739041fd84190f513ceca3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1994</creationdate><topic>CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY</topic><topic>ELECTRON GAS</topic><topic>ELECTRONIC STRUCTURE</topic><topic>ELEMENTS</topic><topic>EVEN-EVEN NUCLEI</topic><topic>FLUIDS</topic><topic>GASES</topic><topic>HALL EFFECT</topic><topic>HELIUM</topic><topic>HELIUM 4</topic><topic>HELIUM II</topic><topic>HELIUM ISOTOPES</topic><topic>ISOTOPES</topic><topic>LIGHT NUCLEI</topic><topic>LIQUIDS</topic><topic>MAGNETIC FIELDS</topic><topic>MECHANICS</topic><topic>NONMETALS</topic><topic>NUCLEI</topic><topic>QUANTUM FLUIDS</topic><topic>QUANTUM MECHANICS</topic><topic>RARE GASES</topic><topic>STABLE ISOTOPES</topic><topic>SURFACE PROPERTIES</topic><topic>TEMPERATURE DEPENDENCE</topic><topic>TEMPERATURE RANGE 0000-0013 K</topic><topic>TEMPERATURE RANGE 665420 -- Superfluidity-- (1992-)</topic><topic>TRANSPORT THEORY</topic><toplevel>online_resources</toplevel><creatorcontrib>Peters, PJ</creatorcontrib><creatorcontrib>Scheuzger, P</creatorcontrib><creatorcontrib>Lea, MJ</creatorcontrib><creatorcontrib>Monarkha, YP</creatorcontrib><creatorcontrib>Sommerfeld, PK</creatorcontrib><creatorcontrib>van der Heijden RW</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>OSTI.GOV</collection><jtitle>Physical review. B, Condensed matter</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Peters, PJ</au><au>Scheuzger, P</au><au>Lea, MJ</au><au>Monarkha, YP</au><au>Sommerfeld, PK</au><au>van der Heijden RW</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Quantum magnetotransport in a nondegenerate two-dimensional electron gas under extremely strong magnetic fields</atitle><jtitle>Physical review. B, Condensed matter</jtitle><addtitle>Phys Rev B Condens Matter</addtitle><date>1994-10-15</date><risdate>1994</risdate><volume>50</volume><issue>16</issue><spage>11570</spage><epage>11576</epage><pages>11570-11576</pages><issn>0163-1829</issn><eissn>1095-3795</eissn><abstract>The quantum magnetotransport properties of a nondegenerate two-dimensional gas of electrons interacting with helium-vapor atoms above a liquid-helium surface is studied in magnetic fields up to 20 T by the ac capacitive coupling technique. The data and the theoretical analysis performed show that in the ultraquantum limit the generalized or effective collision frequency [nu][sub eff] of the electrons increases faster with magnetic field than the cyclotron frequency [omega][sub [ital c]]. Under extremely strong magnetic fields, where the Landau level width becomes comparable to or larger than the thermal energy, the high-cyclotron-frequency approximation [omega][sub [ital c]][much gt][nu][sub eff], usually assumed in quantum transport theories, is no longer valid. The self-consistent Born-approximation theory is extended to be valid for any ratio of [omega][sub [ital c]] to [nu][sub eff]. Then it describes the data perfectly without any adjustable parameter. The results reported here also give strong support to the universality of the linear Hall resistivity.</abstract><cop>United States</cop><pmid>9975289</pmid><doi>10.1103/PhysRevB.50.11570</doi><tpages>7</tpages></addata></record> |
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| ispartof | Physical review. B, Condensed matter, 1994-10, Vol.50 (16), p.11570-11576 |
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| source | American Physical Society Journals |
| subjects | CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY ELECTRON GAS ELECTRONIC STRUCTURE ELEMENTS EVEN-EVEN NUCLEI FLUIDS GASES HALL EFFECT HELIUM HELIUM 4 HELIUM II HELIUM ISOTOPES ISOTOPES LIGHT NUCLEI LIQUIDS MAGNETIC FIELDS MECHANICS NONMETALS NUCLEI QUANTUM FLUIDS QUANTUM MECHANICS RARE GASES STABLE ISOTOPES SURFACE PROPERTIES TEMPERATURE DEPENDENCE TEMPERATURE RANGE 0000-0013 K TEMPERATURE RANGE 665420 -- Superfluidity-- (1992-) TRANSPORT THEORY |
| title | Quantum magnetotransport in a nondegenerate two-dimensional electron gas under extremely strong magnetic fields |
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