Measuring hybridization in GaInAs/InP electron billiard arrays
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Abstract
We study low temperature magnetoconductance fluctuations in arrays of electron billiards in an effort to quantitatively measure hybridization between array elements. In contrast to previous research in the 'open' regime, which is mostly limited to the canonical AlxGa1-xAs/GaAs heterostructure, our devices are etched into the Ga0.25In0.75As/InP heterostructure. To chart hybridization (i.e. the extent of the coherent electron wavefunction) in the arrays, we use a Fourier analysis to examine the frequency content of the universal conductance fluctuations in one and two element arrays. This analysis reveals strong evidence of wavefunction hybridization over all measured coupling strengths between the array elements.
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<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en" level="a">Measuring hybridization in GaInAs/InP electron billiard arrays</title><author><name sortKey="Fairbanks, M S" uniqKey="Fairbanks M">M. S. Fairbanks</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Department of Physics, University of Oregon</s1><s2>Eugene, OR 97403-1274</s2><s3>USA</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>3 aut.</sZ><sZ>4 aut.</sZ><sZ>5 aut.</sZ><sZ>6 aut.</sZ></inist:fA14><country>États-Unis</country><wicri:noRegion>Eugene, OR 97403-1274</wicri:noRegion></affiliation></author><author><name sortKey="Martin, T P" uniqKey="Martin T">T. P. Martin</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Department of Physics, University of Oregon</s1><s2>Eugene, OR 97403-1274</s2><s3>USA</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>3 aut.</sZ><sZ>4 aut.</sZ><sZ>5 aut.</sZ><sZ>6 aut.</sZ></inist:fA14><country>États-Unis</country><wicri:noRegion>Eugene, OR 97403-1274</wicri:noRegion></affiliation><affiliation wicri:level="1"><inist:fA14 i1="02"><s1>School of Physics, University of New South Wales</s1><s2>Sydney, NSW 2052</s2><s3>AUS</s3><sZ>2 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>Sydney, NSW 2052</wicri:noRegion></affiliation></author><author><name sortKey="Scannell, B C" uniqKey="Scannell B">B. C. Scannell</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Department of Physics, University of Oregon</s1><s2>Eugene, OR 97403-1274</s2><s3>USA</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>3 aut.</sZ><sZ>4 aut.</sZ><sZ>5 aut.</sZ><sZ>6 aut.</sZ></inist:fA14><country>États-Unis</country><wicri:noRegion>Eugene, OR 97403-1274</wicri:noRegion></affiliation></author><author><name sortKey="Marlow, C A" uniqKey="Marlow C">C. A. Marlow</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Department of Physics, University of Oregon</s1><s2>Eugene, OR 97403-1274</s2><s3>USA</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>3 aut.</sZ><sZ>4 aut.</sZ><sZ>5 aut.</sZ><sZ>6 aut.</sZ></inist:fA14><country>États-Unis</country><wicri:noRegion>Eugene, OR 97403-1274</wicri:noRegion></affiliation></author><author><name sortKey="Linke, H" uniqKey="Linke H">H. Linke</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Department of Physics, University of Oregon</s1><s2>Eugene, OR 97403-1274</s2><s3>USA</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>3 aut.</sZ><sZ>4 aut.</sZ><sZ>5 aut.</sZ><sZ>6 aut.</sZ></inist:fA14><country>États-Unis</country><wicri:noRegion>Eugene, OR 97403-1274</wicri:noRegion></affiliation><affiliation wicri:level="1"><inist:fA14 i1="03"><s1>Division of Solid State Physics, Lund University, Box 118</s1><s2>221 00 Lund</s2><s3>SWE</s3><sZ>5 aut.</sZ></inist:fA14><country>Suède</country><wicri:noRegion>221 00 Lund</wicri:noRegion></affiliation></author><author><name sortKey="Taylor, R P" uniqKey="Taylor R">R. P. Taylor</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Department of Physics, University of Oregon</s1><s2>Eugene, OR 97403-1274</s2><s3>USA</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>3 aut.</sZ><sZ>4 aut.</sZ><sZ>5 aut.</sZ><sZ>6 aut.</sZ></inist:fA14><country>États-Unis</country><wicri:noRegion>Eugene, OR 97403-1274</wicri:noRegion></affiliation><affiliation wicri:level="1"><inist:fA14 i1="04"><s1>Department of Physics and Astronomy, University of Canterbury</s1><s2>Christchurch, Private Bag 4800</s2><s3>NZL</s3><sZ>6 aut.</sZ></inist:fA14><country>Nouvelle-Zélande</country><wicri:noRegion>Christchurch, Private Bag 4800</wicri:noRegion></affiliation></author></titleStmt><publicationStmt><idno type="inist">10-0247387</idno><date when="2010">2010</date><idno type="stanalyst">PASCAL 10-0247387 INIST</idno><idno type="RBID">Pascal:10-0247387</idno><idno type="wicri:Area/Main/Corpus">004526</idno><idno type="wicri:Area/Main/Repository">003D37</idno></publicationStmt><seriesStmt><idno type="ISSN">1386-9477</idno><title level="j" type="abbreviated">Physica ( E) low-dimens. syst. nanostrut.</title><title level="j" type="main">Physica. E, low-dimentional systems and nanostructures</title></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Coherence</term><term>Etching</term><term>Fourier analysis</term><term>Gallium Indium Arsenides Mixed</term><term>Heterostructures</term><term>Hybridization</term><term>Indium phosphide</term><term>Magnetoresistance</term><term>Universal conductance fluctuation</term><term>Wave functions</term></keywords><keywords scheme="Pascal" xml:lang="fr"><term>Hybridation</term><term>Magnétorésistance</term><term>Fluctuation universelle conductance</term><term>Gravure</term><term>Fonction onde</term><term>Analyse Fourier</term><term>Cohérence</term><term>Gallium Indium Arséniure Mixte</term><term>Phosphure d'indium</term><term>Hétérostructure</term><term>GaInAs</term><term>InP</term><term>AlxGa1-xAs</term><term>GaAs</term><term>7363</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">We study low temperature magnetoconductance fluctuations in arrays of electron billiards in an effort to quantitatively measure hybridization between array elements. In contrast to previous research in the 'open' regime, which is mostly limited to the canonical Al<sub>x</sub>Ga<sub>1-x</sub>As/GaAs heterostructure, our devices are etched into the Ga<sub>0.25</sub>In<sub>0.75</sub>As/InP heterostructure. To chart hybridization (i.e. the extent of the coherent electron wavefunction) in the arrays, we use a Fourier analysis to examine the frequency content of the universal conductance fluctuations in one and two element arrays. This analysis reveals strong evidence of wavefunction hybridization over all measured coupling strengths between the array elements.</div></front></TEI><inist><standard h6="B"><pA><fA01 i1="01" i2="1"><s0>1386-9477</s0></fA01><fA03 i2="1"><s0>Physica ( E) low-dimens. syst. nanostrut.</s0></fA03><fA05><s2>42</s2></fA05><fA06><s2>4</s2></fA06><fA08 i1="01" i2="1" l="ENG"><s1>Measuring hybridization in GaInAs/InP electron billiard arrays</s1></fA08><fA09 i1="01" i2="1" l="ENG"><s1>Proceedings of the 18th International Conference on Electronic Properties of Two-Dimensional Systems (EP2DS-18)</s1></fA09><fA11 i1="01" i2="1"><s1>FAIRBANKS (M. S.)</s1></fA11><fA11 i1="02" i2="1"><s1>MARTIN (T. P.)</s1></fA11><fA11 i1="03" i2="1"><s1>SCANNELL (B. C.)</s1></fA11><fA11 i1="04" i2="1"><s1>MARLOW (C. A.)</s1></fA11><fA11 i1="05" i2="1"><s1>LINKE (H.)</s1></fA11><fA11 i1="06" i2="1"><s1>TAYLOR (R. P.)</s1></fA11><fA12 i1="01" i2="1"><s1>KATSUMOTO (Shingo)</s1><s9>ed.</s9></fA12><fA12 i1="02" i2="1"><s1>KONO (Kimitoshi)</s1><s9>ed.</s9></fA12><fA12 i1="03" i2="1"><s1>TARUCHA (Seigo)</s1><s9>ed.</s9></fA12><fA14 i1="01"><s1>Department of Physics, University of Oregon</s1><s2>Eugene, OR 97403-1274</s2><s3>USA</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>3 aut.</sZ><sZ>4 aut.</sZ><sZ>5 aut.</sZ><sZ>6 aut.</sZ></fA14><fA14 i1="02"><s1>School of Physics, University of New South Wales</s1><s2>Sydney, NSW 2052</s2><s3>AUS</s3><sZ>2 aut.</sZ></fA14><fA14 i1="03"><s1>Division of Solid State Physics, Lund University, Box 118</s1><s2>221 00 Lund</s2><s3>SWE</s3><sZ>5 aut.</sZ></fA14><fA14 i1="04"><s1>Department of Physics and Astronomy, University of Canterbury</s1><s2>Christchurch, Private Bag 4800</s2><s3>NZL</s3><sZ>6 aut.</sZ></fA14><fA15 i1="01"><s1>Institute for Solid State Physics, University of Tokyo, 5-1-5 Kashiwaoha</s1><s2>Kashiwa, Chiba 277-8581</s2><s3>JPN</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>3 aut.</sZ></fA15><fA20><s1>1205-1207</s1></fA20><fA21><s1>2010</s1></fA21><fA23 i1="01"><s0>ENG</s0></fA23><fA43 i1="01"><s1>INIST</s1><s2>145E</s2><s5>354000189694861400</s5></fA43><fA44><s0>0000</s0><s1>© 2010 INIST-CNRS. All rights reserved.</s1></fA44><fA45><s0>12 ref.</s0></fA45><fA47 i1="01" i2="1"><s0>10-0247387</s0></fA47><fA60><s1>P</s1><s2>C</s2></fA60><fA61><s0>A</s0></fA61><fA64 i1="01" i2="1"><s0>Physica. E, low-dimentional systems and nanostructures</s0></fA64><fA66 i1="01"><s0>NLD</s0></fA66><fC01 i1="01" l="ENG"><s0>We study low temperature magnetoconductance fluctuations in arrays of electron billiards in an effort to quantitatively measure hybridization between array elements. In contrast to previous research in the 'open' regime, which is mostly limited to the canonical Al<sub>x</sub>Ga<sub>1-x</sub>As/GaAs heterostructure, our devices are etched into the Ga<sub>0.25</sub>In<sub>0.75</sub>As/InP heterostructure. To chart hybridization (i.e. the extent of the coherent electron wavefunction) in the arrays, we use a Fourier analysis to examine the frequency content of the universal conductance fluctuations in one and two element arrays. 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