TY - JOUR
T1 - Some thoughts about two dimensionality and cuprate superconductivity
AU - Leggett, Anthony J.
N1 - Funding Information:
This work was supported by the National Science Foundation under grant no. NSF-DMR-03-50842, and was performed during a visit to the Pacific Institute for Theoretical Physics (PITP) at the University of British Columbia. I would like to thank the PITP and its director Philip Stamp for their hospitality, and Tom Devereaux for a helpful discussion, which inter alia called my attention to ref. [6].
PY - 2006/7
Y1 - 2006/7
N2 - The role of the quasi-two-dimensionality of the CuO2 planes in the genesis of high-temperature superconductivity in the cuprates is described. Strongly layered materials have high transition temperatures (Tc) in comparison to other materials in their general class and Tc is inversely correlated with the degree of contact between neighboring layers. The maximum value as a function of doping of Tc(n) is in homologous series of which the n = 1,2, and 3 members are realized. According to the Berezinskii-Kosterlitz-Thouless (BKT) theory, if the transition temperature, as calculated in standard mean-field theory, is Tc(0) , then the effect of spontaneous creation of vortex-antivortex pairs is to depress the actual Tc to a lower value. It was also found that interplane Coulomb interactions increase the superconducting condensation energy and hence Tc.
AB - The role of the quasi-two-dimensionality of the CuO2 planes in the genesis of high-temperature superconductivity in the cuprates is described. Strongly layered materials have high transition temperatures (Tc) in comparison to other materials in their general class and Tc is inversely correlated with the degree of contact between neighboring layers. The maximum value as a function of doping of Tc(n) is in homologous series of which the n = 1,2, and 3 members are realized. According to the Berezinskii-Kosterlitz-Thouless (BKT) theory, if the transition temperature, as calculated in standard mean-field theory, is Tc(0) , then the effect of spontaneous creation of vortex-antivortex pairs is to depress the actual Tc to a lower value. It was also found that interplane Coulomb interactions increase the superconducting condensation energy and hence Tc.
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U2 - 10.1007/s10948-006-0154-y
DO - 10.1007/s10948-006-0154-y
M3 - Article
AN - SCOPUS:33846119602
SN - 1557-1939
VL - 19
SP - 187
EP - 192
JO - Journal of Superconductivity and Novel Magnetism
JF - Journal of Superconductivity and Novel Magnetism
IS - 3-5
ER -