Linear in Temperature Resistivity and Associated Mysteries
Abstract
Recent experimental results: (i) the measurement of the $T \ln T$ specific heat in cuprates and the earlier such results in some heavy fermion compounds, (ii) the measurement of the singleparticle scattering rates, (iii) the density fluctuation spectrum in cuprates and (iv) the long standing results on the linear temperature dependence of the resistivity, show that a theory of the quantumcriticality in these compounds based on the solution of the dissipative 2D  XY model gives the temperature and frequency dependence of each of them, and the magnitudes of all four with one dimensionless coupling parameter. These low frequency or temperature dependences persist to an upper cutoff which is measured to be about the same from the singularity in the specific heat or the saturation of the singleparticle selfenergy. The same two parameters are deduced in the analysis of results of photoemission experiments to give dwave superconductivity and its transition temperature. The coupling parameter and the cutoff had been estimated in the microscopic theory to within a factor of 2. The simplicity of the results depends on the discovery that orthogonal topological excitations in space and in time determine the fluctuations near criticality such that the space and time metrics are free of each other. The interacting fermions then form a marginal Fermiliquid.
 Publication:

arXiv eprints
 Pub Date:
 August 2019
 arXiv:
 arXiv:1908.05686
 Bibcode:
 2019arXiv190805686V
 Keywords:

 Condensed Matter  Strongly Correlated Electrons;
 Quantum Physics
 EPrint:
 A section summarizing that the parameters determining dwave superconductivity and the transition temperature are the same as determining the normal state marginal fermiliquid is added. A few other improvements including discussion of the "Planckina" coefficient determining the linear in T resistivity have been made. To be published as Review of Modern Physicscolloque