Abstract
We propose a new approach to understand the origin of the pseudogap in the cuprates, in terms of bosonic entropy. The near-simultaneous softening of a large number of different q-bosons yields an extended range of short-range order, wherein the growth of magnetic correlations with decreasing temperature T is anomalously slow. These entropic effects cause the spectral weight associated with the Van Hove singularity (VHS) to shift rapidly and nearly linearly toward half filling at higher T, consistent with a picture of the VHS driving the pseudogap transition at a temperature ~T*. As a byproduct, we develop an order-parameter classification scheme that predicts supertransitions between families of order parameters. As one example, we find that by tuning the hopping parameters, it is possible to drive the cuprates across a transition between Mott and Slater physics, where a spin-frustrated state emerges at the crossover.
Highlights
Background peak as Van Hove singularity (VHS) nestingHere we demonstrate the connection between the bulk contribution to χ0 and VHS nesting by deconvolving the bare susceptibility, Eq 2, into its various k components
We have established the outlines of a classification scheme for phase transitions, analogous to the spectrum-generating algebras (SGAs) of nuclear physics
We summarize this development in Supplementary Material Section I.A, and compare it to SGAs in Supplementary Material Section I.C
Summary
We demonstrate the connection between the bulk contribution to χ0 and VHS nesting by deconvolving the bare susceptibility, Eq 2, into its various k components. To understand this procedure, recall that the VHS gives rise to susceptibility features near Γ(DOS) and (π, π). Recall that the VHS gives rise to susceptibility features near Γ(DOS) and (π, π) The latter are typically (a), blue curve for frame (b), and green curve for frame (c). To confirm that the background susceptibility is associated with the VHS, we analyze Eq 2 for χ0, assuming that the electron is associated with k and the hole with k+q. We must demonstrate that, when q ~ (π, π), the dominant contribution to χ0 has k near the VHS at (π, 0) [or (0, π)] and k near EVHS
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