• Corpus ID: 201058461

Linear in Temperature Resistivity and Associated Mysteries

@article{Varma2019LinearIT,
  title={Linear in Temperature Resistivity and Associated Mysteries},
  author={Chandra M. Varma},
  journal={arXiv: Strongly Correlated Electrons},
  year={2019}
}
  • C. Varma
  • Published 15 August 2019
  • Physics
  • arXiv: Strongly Correlated Electrons
Recent experimental results: (i) the measurement of the singular specific heat in cuprates and the earlier such results in some heavy fermion compounds, (ii) the measurement of the single-particle scattering rates, (iii) the density fluctuation spectrum in cuprates and (iv) the long standing results on the linear temperature dependence of the resistivity, are used to show that a theory of the quantum-criticality in these compounds based on the solution of the dissipative 2D - XY model {\it… 

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References

SHOWING 1-10 OF 86 REFERENCES

Dynamic structure function of some singular Fermi-liquids

The density correlations of some singular Fermi liquids with anomalous properties such as resistivity varying linearly with T at low temperatures, a $T \log T$ contribution to the entropy and

Universal T-linear resistivity and Planckian dissipation in overdoped cuprates

The perfectly linear temperature dependence of the electrical resistivity observed as T → 0 in a variety of metals close to a quantum critical point1–4 is a major puzzle of condensed-matter physics5.

Dichotomy in the T-linear resistivity in hole-doped cuprates

  • N. HusseyR. A. Cooper C. Proust
  • Physics
    Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2011
It is concluded that the opening of the normal-state pseudogap at pcrit is driven by the loss of coherence of anti-nodal quasi-particles at low temperatures.

Long-wavelength correlations and transport in a marginal Fermi liquid

Marginal Fermi liquid was originally introduced as a phenomenological description of the cuprates in a part of the metallic doping range which appears to be governed by fluctuations due to a

Quantum-critical fluctuations in 2D metals: strange metals and superconductivity in antiferromagnets and in cuprates

  • C. Varma
  • Physics
    Reports on progress in physics. Physical Society
  • 2016
The solution of this model in (2+1)D reveals that the critical fluctuations are determined by topological excitations, vortices and a variety of instantons, and not by renormalized spin-wave theories of the Landau-Ginzburg-Wilson type, adapted by Moriya, Hertz and others for quantum-criticality.

Quantum Criticality in Quasi-Two-Dimensional Itinerant Antiferromagnets.

  • C. Varma
  • Physics
    Physical review letters
  • 2015
It is shown, here, that a generic model of itinerant anti-ferromagnet can be canonically transformed so that its critical fluctuations around the AFM-vector Q can be obtained from the fluctuations in the long wavelength limit of a dissipative quantum XY model.

Universality of single-particle spectra of cuprate superconductors.

All the available data for the dispersion and linewidth of the single-particle spectra above the superconducting gap and the pseudogap in metallic cuprates for any doping have universal features and are predicted by a recent microscopic theory.

Specific heat and sound velocity at the relevant competing phase of high-temperature superconductors

It is shown unambiguously that a proposed order, in which currents spontaneously flow in close loops within each unit cell of the compound, is such that an unusual signature of transition to it is found in the sound velocity experiments but that it is unobservable in the specific heat measurements.

Thermodynamic signatures of quantum criticality in cuprate superconductors

It is concluded that the pseudogap phase of cuprates ends at a quantum critical point, the associated fluctuations of which are probably involved in d-wave pairing and the anomalous scattering of charge carriers.
...