TY - JOUR

T1 - Breakdown of one-parameter scaling in quantum critical scenarios for high-temperature copper-oxide superconductors

AU - Phillips, Philip

AU - Chamon, Claudio

PY - 2005/9/2

Y1 - 2005/9/2

N2 - We show that if the excitations which become gapless at a quantum critical point also carry the electrical current, then a resistivity linear in temperature, as is observed in the copper-oxide high-temperature superconductors, obtains only if the dynamical exponent z satisfies the unphysical constraint, z<0. At fault here is the universal scaling hypothesis that, at a continuous phase transition, the only relevant length scale is the correlation length. Consequently, either the electrical current in the normal state of the cuprates is carried by degrees of freedom which do not undergo a quantum phase transition, or quantum critical scenarios must forgo this basic scaling hypothesis and demand that more than a single-correlation length scale is necessary to model transport in the cuprates.

AB - We show that if the excitations which become gapless at a quantum critical point also carry the electrical current, then a resistivity linear in temperature, as is observed in the copper-oxide high-temperature superconductors, obtains only if the dynamical exponent z satisfies the unphysical constraint, z<0. At fault here is the universal scaling hypothesis that, at a continuous phase transition, the only relevant length scale is the correlation length. Consequently, either the electrical current in the normal state of the cuprates is carried by degrees of freedom which do not undergo a quantum phase transition, or quantum critical scenarios must forgo this basic scaling hypothesis and demand that more than a single-correlation length scale is necessary to model transport in the cuprates.

UR - http://www.scopus.com/inward/record.url?scp=27144510956&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=27144510956&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.95.107002

DO - 10.1103/PhysRevLett.95.107002

M3 - Article

AN - SCOPUS:27144510956

VL - 95

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 10

M1 - 107002

ER -