Percolation and the electron–electron interaction in an array of antidots
A square lattice of microcontacts with a period of 1 μm in a dense low-mobility two-dimensional electron gas is studied experimentally and numerically. At the variation of the gate voltage V g , the conductivity of the array varies by five orders of magnitude in the temperature range T from 1.4 to 7...
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| Veröffentlicht in: | JETP letters 2016-10, Vol.104 (7), p.473-478 |
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| creator | Tkachenko, V. A. Tkachenko, O. A. Minkov, G. M. Sherstobitov, A. A. |
| description | A square lattice of microcontacts with a period of 1 μm in a dense low-mobility two-dimensional electron gas is studied experimentally and numerically. At the variation of the gate voltage
V
g
, the conductivity of the array varies by five orders of magnitude in the temperature range
T
from 1.4 to 77 K in good agreement with the formula σ(
V
g
) = (
V
g
−
V
g
*
(
T
))
β
with β = 4. The saturation of σ(
T
) at low temperatures is absent because of the electron–electron interaction. A random-lattice model with a phenomenological potential in microcontacts reproduces the dependence σ(
T
,
V
g
) and makes it possible to determine the fraction of microcontacts
x
(
V
g
,
T
) with conductances higher than σ. It is found that the dependence
x
(
V
g
) is nonlinear and the critical exponent in the formula σ ∝ − (
x
- 1/2)
t
in the range 1.3 <
t
(
T
,
V
g
) < β. |
| doi_str_mv | 10.1134/S0021364016190115 |
| format | Article |
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V
g
, the conductivity of the array varies by five orders of magnitude in the temperature range
T
from 1.4 to 77 K in good agreement with the formula σ(
V
g
) = (
V
g
−
V
g
*
(
T
))
β
with β = 4. The saturation of σ(
T
) at low temperatures is absent because of the electron–electron interaction. A random-lattice model with a phenomenological potential in microcontacts reproduces the dependence σ(
T
,
V
g
) and makes it possible to determine the fraction of microcontacts
x
(
V
g
,
T
) with conductances higher than σ. It is found that the dependence
x
(
V
g
) is nonlinear and the critical exponent in the formula σ ∝ − (
x
- 1/2)
t
in the range 1.3 <
t
(
T
,
V
g
) < β.</description><identifier>ISSN: 0021-3640</identifier><identifier>EISSN: 1090-6487</identifier><identifier>DOI: 10.1134/S0021364016190115</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Antidots ; Atomic ; Biological and Medical Physics ; Biophysics ; Condensed Matter ; Electron gas ; Mathematical models ; Molecular ; Optical and Plasma Physics ; Particle and Nuclear Physics ; Physics ; Physics and Astronomy ; Quantum Information Technology ; Solid State Physics ; Spintronics</subject><ispartof>JETP letters, 2016-10, Vol.104 (7), p.473-478</ispartof><rights>Pleiades Publishing, Inc. 2016</rights><rights>Copyright Springer Science & Business Media 2016</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-e17e61b2105116967af882e6292b148880e9090acb3785a9e14406717dec43d33</citedby><cites>FETCH-LOGICAL-c316t-e17e61b2105116967af882e6292b148880e9090acb3785a9e14406717dec43d33</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S0021364016190115$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S0021364016190115$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Tkachenko, V. A.</creatorcontrib><creatorcontrib>Tkachenko, O. A.</creatorcontrib><creatorcontrib>Minkov, G. M.</creatorcontrib><creatorcontrib>Sherstobitov, A. A.</creatorcontrib><title>Percolation and the electron–electron interaction in an array of antidots</title><title>JETP letters</title><addtitle>Jetp Lett</addtitle><description>A square lattice of microcontacts with a period of 1 μm in a dense low-mobility two-dimensional electron gas is studied experimentally and numerically. At the variation of the gate voltage
V
g
, the conductivity of the array varies by five orders of magnitude in the temperature range
T
from 1.4 to 77 K in good agreement with the formula σ(
V
g
) = (
V
g
−
V
g
*
(
T
))
β
with β = 4. The saturation of σ(
T
) at low temperatures is absent because of the electron–electron interaction. A random-lattice model with a phenomenological potential in microcontacts reproduces the dependence σ(
T
,
V
g
) and makes it possible to determine the fraction of microcontacts
x
(
V
g
,
T
) with conductances higher than σ. It is found that the dependence
x
(
V
g
) is nonlinear and the critical exponent in the formula σ ∝ − (
x
- 1/2)
t
in the range 1.3 <
t
(
T
,
V
g
) < β.</description><subject>Antidots</subject><subject>Atomic</subject><subject>Biological and Medical Physics</subject><subject>Biophysics</subject><subject>Condensed Matter</subject><subject>Electron gas</subject><subject>Mathematical models</subject><subject>Molecular</subject><subject>Optical and Plasma Physics</subject><subject>Particle and Nuclear Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Information Technology</subject><subject>Solid State Physics</subject><subject>Spintronics</subject><issn>0021-3640</issn><issn>1090-6487</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp1kMFKxDAQhoMouK4-gLeC52omSZP0KIu64oKCei5pOtUutVmT7GFvvoNv6JOYugqCeJof_u__ZxhCjoGeAnBxdk8pAy4FBQklBSh2yARoSXMptNolk9HOR3-fHISwpAnRXE3IzR1663oTOzdkZmiy-IwZ9mijd8PH2_uPzLohojf2i-tGNDPem03m2qRj17gYDslea_qAR99zSh4vLx5m83xxe3U9O1_kloOMOYJCCTUDWgDIUirTas1QspLVILTWFMt0ubE1V7owJYIQVCpQDVrBG86n5GTbu_LudY0hVku39kNaWUFKa9CSiUTBlrLeheCxrVa-ezF-UwGtxp9Vf36WMmybCYkdntD_av439AlksWzo</recordid><startdate>20161001</startdate><enddate>20161001</enddate><creator>Tkachenko, V. A.</creator><creator>Tkachenko, O. A.</creator><creator>Minkov, G. M.</creator><creator>Sherstobitov, A. A.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20161001</creationdate><title>Percolation and the electron–electron interaction in an array of antidots</title><author>Tkachenko, V. A. ; Tkachenko, O. A. ; Minkov, G. M. ; Sherstobitov, A. A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-e17e61b2105116967af882e6292b148880e9090acb3785a9e14406717dec43d33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Antidots</topic><topic>Atomic</topic><topic>Biological and Medical Physics</topic><topic>Biophysics</topic><topic>Condensed Matter</topic><topic>Electron gas</topic><topic>Mathematical models</topic><topic>Molecular</topic><topic>Optical and Plasma Physics</topic><topic>Particle and Nuclear Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Information Technology</topic><topic>Solid State Physics</topic><topic>Spintronics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Tkachenko, V. A.</creatorcontrib><creatorcontrib>Tkachenko, O. A.</creatorcontrib><creatorcontrib>Minkov, G. M.</creatorcontrib><creatorcontrib>Sherstobitov, A. A.</creatorcontrib><collection>CrossRef</collection><jtitle>JETP letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Tkachenko, V. A.</au><au>Tkachenko, O. A.</au><au>Minkov, G. M.</au><au>Sherstobitov, A. A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Percolation and the electron–electron interaction in an array of antidots</atitle><jtitle>JETP letters</jtitle><stitle>Jetp Lett</stitle><date>2016-10-01</date><risdate>2016</risdate><volume>104</volume><issue>7</issue><spage>473</spage><epage>478</epage><pages>473-478</pages><issn>0021-3640</issn><eissn>1090-6487</eissn><abstract>A square lattice of microcontacts with a period of 1 μm in a dense low-mobility two-dimensional electron gas is studied experimentally and numerically. At the variation of the gate voltage
V
g
, the conductivity of the array varies by five orders of magnitude in the temperature range
T
from 1.4 to 77 K in good agreement with the formula σ(
V
g
) = (
V
g
−
V
g
*
(
T
))
β
with β = 4. The saturation of σ(
T
) at low temperatures is absent because of the electron–electron interaction. A random-lattice model with a phenomenological potential in microcontacts reproduces the dependence σ(
T
,
V
g
) and makes it possible to determine the fraction of microcontacts
x
(
V
g
,
T
) with conductances higher than σ. It is found that the dependence
x
(
V
g
) is nonlinear and the critical exponent in the formula σ ∝ − (
x
- 1/2)
t
in the range 1.3 <
t
(
T
,
V
g
) < β.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S0021364016190115</doi><tpages>6</tpages></addata></record> |
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| issn | 0021-3640 1090-6487 |
| language | eng |
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| source | SpringerLink Journals |
| subjects | Antidots Atomic Biological and Medical Physics Biophysics Condensed Matter Electron gas Mathematical models Molecular Optical and Plasma Physics Particle and Nuclear Physics Physics Physics and Astronomy Quantum Information Technology Solid State Physics Spintronics |
| title | Percolation and the electron–electron interaction in an array of antidots |
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