The origin of hour-glass magnetic dispersion in underdoped cuprate superconductors

Abstract

In the present work we explain the hour-glass magnetic dispersion in underdoped cuprates. The dispersion arises due to the Lifshitz-type magnetic criticality. Superconductivity also plays a role, but the role is secondary. We list six major experimental observations related to the hour-glass and explain all of them. The theory provides a unified picture of the evolution of magnetic excitations in various cuprate families, including "hour-glass" and "wine-glass" dispersions and an emergent static incommensurate order. We propose the Lifshitz spin liquid "fingerprint" sum rule, and show that the latest data confirm the validity of the sum rule.

arXiv comment10 pages, 10 figures. version 2 includes a detailed comparison with inelastic neutron scattering data

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Cited by in corpus (4)

• Superconductivity in high-$T_c$ and related strongly correlated systems from variational perspective: Beyond mean field theory
• Coexistence of Two Components in Magnetic Excitations of La${}_{2-x}$Sr${}_x$CuO${}_4$ ($x$ = 0.10 and 0.16)
• Quantum Lifshitz criticality in a frustrated two-dimensional XY model
• Spin susceptibility in a pseudogap state with fluctuating spiral magnetic order