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Theory of the nodal nematic quantum phase transition in superconductors

Eun-Ah Kim, Michael J. Lawler, Paul Oreto, Subir Sachdev, Eduardo Fradkin, Steven A. Kivelson

DOI 10.1103/PhysRevB.77.184514 · Physical Review B

T1

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Abstract

We study the character of an Ising nematic quantum phase transition deep inside a d-wave superconducting state with nodal quasiparticles in a two-dimensional tetragonal crystal. We find that, within a 1∕N expansion, the transition is continuous. To leading order in 1∕N, quantum fluctuations enhance the dispersion anisotropy of the nodal excitations and cause strong scattering, which critically broadens the quasiparticle (qp) peaks in the spectral function, except in a narrow wedge in momentum space near the Fermi surface where the qps remain sharp. We also consider the possible existence of a nematic glass phase in the presence of weak disorder. Some possible implications for cuprate physics are also discussed.

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FormulaReported Tc (K)Pressure (GPa)Type
YBa2Cu3O6+δ

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—Pressure not reportedunknown
YBa2Cu3O6.45

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35Pressure not reportedunknown
La2-xSrxCuO4

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—Pressure not reportedunknown
Bi2Sr2CaCu2O8+δ

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—Pressure not reportedunknown

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