Quantum Protectorates in the Cuprate Superconductors

Abstract

Following the identification of the pairing state, the major challenge in understanding the cuprate superconductors has been determining the evolution with doping and temperature of their anomalous normal state behavior. Key to this understanding is the experimentally determined magnetic phase diagram for the cuprates, which provides information on the protected magnetic properties of the normal state, generic behavior that is reliably the same one system to the next, regardless of details. I discuss the constraints this places on candidate quantum protectorates, and the status of microscopic model calculations for a protectorate consistent with these constraints, the nearly antiferromagnetic Fermi liquid.

Invited paper to be published in Physica C as part of the proceedings of M2S-HTSC-VI, Houston, Feb.2000

References in corpus (1)

• Microscopic theory of weak pseudogap behavior in the underdoped cuprate superconductors I: General theory and quasiparticle properties

Cited by in corpus (10)

• The pseudogap: friend or foe of high Tc?
• Evidence for a generic novel quantum transition in high-Tc cuprates
• Bogoliubov's Vision: Quasiaverages and Broken Symmetry to Quantum Protectorate and Emergence
• Preformed Excitons, Orbital Selectivity, and Charge-Density-Wave Order in 1T-TiSe_2
• Low-frequency spins and the ground state in high-Tc cuprates
• Developments in the negative-U modelling of the cuprate HTSC systems
• Temperature-dependent gap equations and their solutions in the SU(4) model of high-temperature superconductivity
• Quantum Protectorate and Microscopic Models of Magnetism
• k-dependent SU(4) model of high-temperature superconductivity and its coherent-state solutions
• Pseudogap in the microwave response of YBa_2Cu_3O_{7-x}