Pseudogap in 1d revisited

Abstract

Two decades ago, Sadovskii found an exact solution of a model describing a pseudogap in electron energy spectrum (first introduced by Lee, Rice and Anderson). The discovery of a pseudogap in high-Tc superconductors has revived the interest to his exact solution. I review the model with the emphasis on physical content, point out an error in the original Sadovskii's solution and explain which problem he actually solved. A recent incorporation of Sadovskii's ideas into a description of "hot spots" on the Fermi surface in cuprate superconductors (Schmalian, Pines and Stojkovic) is briefly discussed.

Final version to appear in PRB

References in corpus (1)

• Weak Pseudogap Behavior in the Underdoped Cuprate Superconductors

Cited by in corpus (20)

• Theory of Superconductivity in Strongly Correlated Electron Systems
• Pseudogap in High - Temperature Superconductors
• Microscopic theory of weak pseudogap behavior in the underdoped cuprate superconductors I: General theory and quasiparticle properties
• Antiferromagnetism and single-particle properties in the two-dimensional half-filled Hubbard model: a non-linear sigma model approach
• Pinned Balseiro-Falicov Model of Tunneling and Photoemission in the Cuprates
• On Pseudogaps in One-Dimensional Models with Quasi-Long-Ranged-Order
• Exact Results for the Crossover from Gaussian to Non-Gaussian Order Parameter Fluctuations in Quasi One-Dimensional Electronic Systems
• Exact Numerical Calculation of the Density of States of the Fluctuating Gap Model
• Singularities and Pseudogaps in the Density of States of Peierls Chains
• Spin fluctuations and pseudogap in the two-dimensional half-filled Hubbard model at weak coupling
• Classical Phase Fluctuations in Incommensurate Peierls Chains
• Superconducting Fluctuation and Pseudogap in Disordered Short Coherence Length Superconductor
• Pseudogap and Superconducting Fluctuation in High-Tc Cuprates: Theory beyond 1-loop Approximation
• Fluctuation effects in disordered Peierls systems
• Quenched disorder formulation of the pseudo-gap problem
• Disorder effects on hot spots in electron-doped cuprates
• Optical and Hall conductivities of a thermally disordered two-dimensional spin-density wave: two-particle response in the pseudogap regime of electron-doped high-$T_c$ superconductors
• Models of the Pseudogap State in Cuprates
• Non-Fermi liquid behavior of quasi one-dimensional pseudogap materials
• Superconductivity in the Pseudogap State due to Fluctuations of Short-Range Order