Quantum phase transition from a strange metal to a Fermi liquid in the normal state of cuprate superconductors

Details Quantum phase transition from a strange metal to a Fermi liquid in the normal state of cuprate superconductors Quantum phase transition from a strange metal to a Fermi liquid in the normal state of cuprate superconductors

2011-07-22

arxiv.org/abs/1107.4585v2

Physics

Condensed Matter

Strongly Correlated Electrons

Revised. 23 pages and 8 Figs

Scientific paper

The normal state metallic behavior above the superconducting transition temperature (Tsc) remains one of the least understood properties since its discovery in cuprates by Bednorz and Muller. Apart from the pseudogap (T*) phenomenon above Tsc, there is this T-linear resistivity that was first recognized by Anderson as strange simply because it does not obey the low-temperature T^2 electron-electron scattering rate predicted from the Fermi liquid theory. Here, we prove that the continuous finite temperature quantum phase transition (CTQPT) is responsible for the transition between a strange- to a Fermi metal for a given chemical composition. Our proof follows the Green function formalism and the energy-level spacing renormalization group method. Interestingly, the CTQPT stated above can be related to the proof derived by Parameswaran, Shankar and Sondhi, in which, the one-to-one correspondence between the Fermi gas and Fermi liquid is indeed a special case. The theory is further exploited to give unambiguous explanations as to why and how doping gives rise to spectral weight transfer observed in the soft X-ray absorption spectroscopic measurements for the La-Sr-Cu-O system.

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