Theory of diamagnetism in the pseudogap phase of high-temperature superconductors: Implications from the self-energy of angle-resolved photoemission

Abstract

In this paper we apply the emerging-consensus understanding of the fermionic self-energy deduced from angle-resolved photoemisssion spectroscopy (ARPES) experiments to deduce the implications for orbital diamagnetism in the underdoped cuprates. Many theories using many different starting points have arrived at a broadened BCS-like form for the normal state self-energy associated with a d-wave excitation gap, as is compatible with ARPES data. Establishing consistency with the f-sum rules, we show how this self-energy, along with the constraint that there is no Meissner effect in the normal phase, are sufficient to deduce the orbital susceptibility. We conclude, moreover, that diamagnetism is large for a d-wave pseudogap. Our results should apply rather widely to many theories of the pseudogap, independent of the microscopic details.

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