Hidden Fermi liquid; the moral: a good effective low-energy theory is worth all of Monte Carlo with Las Vegas thrown in

Abstract

We present a formalism for dealing directly with the effects of the Gutzwiller projection implicit in the t-J model which is widely believed to underlie the phenomenology of the high-T(c) cuprates. We suggest that a true Bardeen-Cooper-Schrieffer condensation from a Fermi liquid state takes place, but in the unphysical space prior to projection. At low doping, however, instead of a hidden Fermi liquid one gets a 'hidden' non-superconducting resonating valence bond state which develops hole pockets upon doping. The theory which results upon projection does not follow conventional rules of diagram theory and in fact in the normal state is a Z = 0 non-Fermi liquid. Anomalous properties of the 'strange metal' normal state are predicted and compared against experimental findings.

Hidden Fermi Liquid: Self-Consistent Theory for the Normal State of High-TcSuperconductors

“…Physically the decay process corresponds to the QP decaying into one PP and coupling to the Tomonaga bosons in the unprojected space. [15] The G * iσ (t) correction previously discussed results in a predicted zero-bias anomaly in the tunneling density of states, [23] which broadens as Γ decay , so the number of states available for the QPs to decay into increases linearly with T. [17] This decay process acts as a bottleneck that must occur before momentum can be transferred to the lattice by the PPs. When calculating the transport lifetime, τ tr , we must therefore add the decay lifetime with the HFL scattering lifetime, τ tr = τ decay +τ HF L .…”

“…A phenomenological theory of the transport and spectroscopic properties at a self-consistent and predictive level has been much sought after, yet elusive. We demonstrate here that the hidden Fermi liquid theory (HFL) [13][14][15][16][17][18] is the effective low-energy theory for the normal state and no longer just a proposal. After reviewing the theory, we derive well-defined expressions relating ARPES, resistivity, Hall angle, and ADMR.…”

Magnetotransport properties and pseudogap phase diagram of superconducting EuBa2Cu3Oy thin films: the influence of Eu substitution

“…This equation shows that the cotangent of the Hall angle q cot H exhibits quadratic temperature dependence, which has been observed in many cuprate superconductors [43][44][45]. To newly describe the temperature dependence of longitudinal resistivity, some theoretical works consider that there are two regions; one is the linear-T ρ xx in the strange metal region, and the other is T 2 -dependent ρ xx for lower temperature and higher doped cuprates [46,47]. For quantitative analyses, Anderson and Casey proposed the hidden Fermi-liquid theory and pointed out that there is no clear boundary between the two regions [46].…”

“…To newly describe the temperature dependence of longitudinal resistivity, some theoretical works consider that there are two regions; one is the linear-T ρ xx in the strange metal region, and the other is T 2 -dependent ρ xx for lower temperature and higher doped cuprates [46,47]. For quantitative analyses, Anderson and Casey proposed the hidden Fermi-liquid theory and pointed out that there is no clear boundary between the two regions [46]. The anomalous behavior of the temperature dependence of the longitudinal resistivity in the normal state is described by the hidden Fermi-liquid theory [48] and can be denoted as:…”

Theory of the Origin, Evolution, and Nature of Life

“…When visible energy is extracted from or unavailable for the electrogyre, the particles stop cycling between gyrosystates—this models a Fermi gas [ 80 , 81 ]. The Fermi liquid state, presently modeled mathematically (for instance, [ 82 ]) is modeled here as a three-dimensional crosslinked network of gyrobasal electrohelices—constantly undergoing metabolism, thus explaining fluctuating quantum “stripes” [ 83 , 84 ]—that are predicted to form a matrix, an electromatrix . Fermi gases and liquids bear the signature of the electrogyre in their dynamic vortices [ 85 , 86 , 87 , 88 , 89 ].…”