Hidden Fermi liquid theory explicitly accounts for the effects of Gutzwiller projection in the t-J Hamiltonian, widely believed to contain the essential physics of the high-Tc superconductors. We derive expressions for the entire "strange metal", normal state relating angle-resolved photoemission, resistivity, Hall angle, and by generalizing the formalism to include the Fermi surface topologyangle-dependent magnetoresistance. We show this theory to be the first self-consistent description for the normal state of the cuprates based on transparent, fundamental assumptions. Our welldefined formalism also serves as a guide for further experimental confirmation.The anomalous "strange metal" properties of the normal, non-superconducting state of the high-T c cuprate superconductors have been extensively studied for over two decades. [1][2][3][4][5][6] The resistivity is robustly T-linear at high temperatures while at low T it appears linear near optimal doping and is T 2 at higher doping. The inverse Hall angle is strictly T 2 and hence has a distinct scattering lifetime from the resistivity. The transport scattering lifetime is highly anisotropic as directly measured by angle-dependent magnetoresistance (ADMR, or similarly AMRO) [7][8][9][10] and indirectly in more traditional transport experiments. The IR conductivity exhibits a non-integer power-law in frequency [11,12], which we take as a defining characteristic of the "strange metal".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. Self-consistency is shown in the one system where most datasets are available, overdoped (OD) T l 2 Ba 2 CuO 6+δ .In the cuprate phase diagram, a line is usually drawn up and to the right from the edge of the superconducting dome in the OD region to separate the "strange metal" from a conventional Fermi liquid (FL) at high doping. We argue there is no crossover from the "strange metal" for high doping. HFL is valid for the entire normal state and we will show that the data only appears FL-like as the HFL bandwidth, W HF L , becomes large at high doping.Some proposals, which have neither demonstrated selfconsistency nor explained the IR conductivity, invoke the heuristic that there is single scattering lifetime in the problem with "hot" or "cold" spots [19][20][21] with different temperature dependences in different regions of the Fermi surface. However, the more recent experimental probe of ADMR allows a direct test of the anisotropic scattering predicted by any theory. We show that the anisotropy observed in the transport scattering rate in the ADMR is precisely reproduced by including the slight variation of v F and k F around the Fermi surface wi...

The strange metal phase of optimally and overdoped cuprates exhibits a number of anomalous transport properties-unsaturating linear-T resistivity, distinct relaxation times for Hall angle and resistivity, temperature-dependent anisotropic relaxation times, and a characteristic crossover from supposed Fermi liquid to linear-T behavior. All receive natural explanations and quantitative fits in terms of the hidden Fermi liquid theory.

Anderson has recently proposed a theory of the strange metal state above T c in the high T c superconductors. 1 It is based on the idea that the unusual transport properties and spectral functions are caused by the strong Mott-Hubbard interactions and can be computed by using the formal apparatus of Gutzwiller projection. In ref. 1 Anderson computed only the tunneling spectrum and the power-law exponent of the infrared conductivity. He had calculated the energy distribution curves (EDCs) in angle resolved photoemission spectroscopy (ARPES) but was discouraged when these differed radically from the best ARPES measurements available at the time, and did not include them. In this letter we compare the spectral functions computed within Anderson's model to the novel laser-ARPES data of Dessau's group. 2,3 These are found to capture the shape of the experimental EDCs with unprecedented accuracy and in principle have only one free parameter.

Five compounds were investigated for magnetic character and superconductivity, all with non-magnetic nickel and band structures containing flat bands and steep bands.The syntheses and crystal structures, refined by powder X-ray diffraction, are reported for

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.