how low can you go?

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The inclusion of the right impurities can make a high- temperature superconductor of an insulator, but a thorough understanding of the exotic properties of these materials has been lacking. A team of researchers from Stanford University and the National Institute of Standards and Technology (NIST) has taken a step towards a quantitative understanding of these material properties [Science (2002) 295, 1691-1695]. Taking the example of La 2 CuO 4 , the parent of high- temperature superconductor (La,Ba) 2 CuO 4 and a model two-dimensional quantum (spin-½) antiferromagnet, superconductivity arises near the antiferromagnetic phases. Investigation of the antiferromagnetic fluctuations, therefore, should shed light on the exotic physics of these materials, say the researchers. Martin Greven and his team at Stanford grew crystal samples of La 2 Cu 1-z (Zn,Mg) z O 4+d using the traveling-solvent floating zone method. By substituting Zn and Mg on the Cu site, the researchers can remove a magnetic site without introducing charge carriers. The crystals were then taken to Peter Gehring and Jeffrey Lynn at NIST’s Center for Neutron Research for neutron scattering studies. By analyzing a range of samples with Zn concentration at approximately 10% and varying Mg content, the researchers could pinpoint the moment at which random impurities disrupt the long- range magnetic order of the crystals. Meanwhile, quantum Monte Carlo simulations were carried out at Stanford, which show excellent agreement with the experimental results. The crucial factor appears to be the distance over which magnetic moments can pass information – and this depends on temperature, says Greven. “At room temperature, in the crystals we were looking at, they don’t ‘talk’ over a distance larger than four or five neighbors,” explains Greven. “But when you cool these crystals, the distance over which the magnetic moments can exchange information increases in a nontrivial fashion due to both their quantum nature as well as the presence of the impurities, and eventually exceeds hundreds of neighbors.” Quantum fluctuations erode the magnetic order of the material with increased dilution by impurities. When 40% of the magnetic atoms are replaced with nonmagnetic impurities, the spins of neighboring atoms become disordered and disconnected throughout the system. Looking to the future, says Greven, “Once we truly understand these and related materials and their magnetic properties as a function of impurity content, we can hope to design better materials in the lab that have better properties from a technological point of view.” RESEARCH NEWS Carbon nanotubes are allowing researchers at the University of Illinois to investigate how small a wire can be fabricated that is still superconducting. "The phenomenon of superconductivity depends upon the phase coherence of the condensate," explains Alexey Bezryadin, who presented the results at the American Physical Society conference. "For small systems, such as ultrathin wires, the phase is a quantum variable which may or may not have a definite value, corresponding to both superconducting and insulating states." Bezryadin and his colleagues from Harvard University use nanotubes as scaffolds onto which a uniform film of superconducting molybdenum- germanium alloy can be deposited. The nanowires are placed on a silicon chip to apply a voltage and measure the current. "The molybdenum- germanium films have a sharp superconducting transition, and show no signs of granularity down to a thickness of about 1 nm," says Bezryadin. "By changing how much material is deposited, we can make wires of different diameters and study important phase transitions between superconducting and insulating states." To ensure that the nanotubes themselves do not skew the results, the researchers used insulating fluorinated carbon nanotubes fabricated by John Margrave at Rice University. "With these non-conducting nanotubes, we have no doubt that the current we are measuring is flowing through the molybdenum-germanium film and not through the carbon scaffold," says Bezryadin. As an added benefit, the fluorotubes also appear to allow the fabrication of even smaller diameter nanowires. How low can you go? Exotic magnetic properties May 2002 9 Martin Greven, Patrick Mang, and Owen Vajk. (Credit: L.A. Cicero.)

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Page 1: How low can you go?

The inclusion of the rightimpurities can make a high-temperature superconductor ofan insulator, but a thoroughunderstanding of the exoticproperties of these materialshas been lacking. A team ofresearchers from StanfordUniversity and the NationalInstitute of Standards andTechnology (NIST) has taken astep towards a quantitativeunderstanding of thesematerial properties [Science(2002) 295, 1691-1695]. Taking the example ofLa2CuO4, the parent of high-temperature superconductor(La,Ba)2CuO4 and a model two-dimensional quantum (spin-½) antiferromagnet,superconductivity arises nearthe antiferromagnetic phases.Investigation of theantiferromagnetic fluctuations,therefore, should shed light onthe exotic physics of thesematerials, say theresearchers.Martin Greven and his team atStanford grew crystal samplesof La2Cu1-z (Zn,Mg)zO4+d using

the traveling-solvent floatingzone method. By substitutingZn and Mg on the Cu site, theresearchers can remove amagnetic site withoutintroducing charge carriers. The crystals were then takento Peter Gehring and JeffreyLynn at NIST’s Center forNeutron Research for neutronscattering studies. By analyzinga range of samples with Znconcentration at approximately10% and varying Mg content,the researchers could pinpointthe moment at which randomimpurities disrupt the long-range magnetic order of thecrystals. Meanwhile, quantumMonte Carlo simulations werecarried out at Stanford, whichshow excellent agreement withthe experimental results.The crucial factor appears tobe the distance over whichmagnetic moments can passinformation – and this dependson temperature, says Greven.“At room temperature, in thecrystals we were looking at,they don’t ‘talk’ over a distancelarger than four or five

neighbors,” explains Greven.“But when you cool thesecrystals, the distance overwhich the magnetic momentscan exchange informationincreases in a nontrivial fashiondue to both their quantumnature as well as the presenceof the impurities, andeventually exceeds hundreds ofneighbors.” Quantum fluctuations erodethe magnetic order of thematerial with increased dilutionby impurities. When 40% ofthe magnetic atoms are

replaced with nonmagneticimpurities, the spins ofneighboring atoms becomedisordered and disconnectedthroughout the system.Looking to the future, saysGreven, “Once we trulyunderstand these and related materials and theirmagnetic properties as afunction of impurity content,we can hope to designbetter materials in the lab that have better propertiesfrom a technological point ofview.”

RESEARCH NEWS

Carbon nanotubes are allowingresearchers at the Universityof Illinois to investigate howsmall a wire can be fabricatedthat is still superconducting."The phenomenon ofsuperconductivity dependsupon the phase coherence ofthe condensate," explainsAlexey Bezryadin, whopresented the results at theAmerican Physical Societyconference. "For smallsystems, such as ultrathinwires, the phase is a quantum

variable which may or may nothave a definite value,corresponding to bothsuperconducting and insulatingstates."Bezryadin and his colleaguesfrom Harvard University usenanotubes as scaffolds ontowhich a uniform film ofsuperconducting molybdenum-germanium alloy can bedeposited. The nanowires areplaced on a silicon chip toapply a voltage and measurethe current. "The molybdenum-

germanium films have a sharpsuperconducting transition,and show no signs ofgranularity down to a thicknessof about 1 nm," saysBezryadin. "By changing howmuch material is deposited, wecan make wires of differentdiameters and study importantphase transitions betweensuperconducting and insulatingstates." To ensure that thenanotubes themselves do notskew the results, theresearchers used insulating

fluorinated carbon nanotubesfabricated by John Margraveat Rice University. "With these non-conductingnanotubes, we have no doubtthat the current we aremeasuring is flowing throughthe molybdenum-germaniumfilm and not through thecarbon scaffold," saysBezryadin. As an addedbenefit, the fluorotubes alsoappear to allow the fabricationof even smaller diameternanowires.

How low can you go?

Exotic magnetic properties

May 2002 9

Martin Greven, Patrick Mang, and Owen Vajk. (Credit: L.A. Cicero.)