The dynamically induced Fermi arcs and Fermi pockets in two dimensions: a model for underdoped cuprates

Abstract

We investigate the effects of the dynamic bosonic fluctuations on the Fermi surface reconstruction in two dimensions as a model for the underdoped cuprates. At energies larger than the boson energy ${\omega }_b$, the dynamic nature of the fluctuations is not important and the quasi-particle dispersion exhibits the shadow feature like that induced by a static long range order. At lower energies, however, the shadow feature is pushed away by the finite ${\omega }_b$. The detailed low energy features are determined by the bare dispersion and the coupling of quasi-particles to the dynamic fluctuations. We present how these factors reconstruct the Fermi surface to produce the Fermi arcs or the Fermi pockets, or their coexistence. Our principal result is that the dynamic nature of the fluctuations, without invoking a yet-to-be-established translational symmetry breaking hidden order, can produce the Fermi pocket centered away from the $(\pi /2,\pi /2)$ towards the zone center which may coexist with the Fermi arcs. This is discussed in comparison with the experimental observations.

arXiv commentSome comments and references were added and typos were corrected. The published version. 9 pages

References in corpus (27)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• The pseudogap in high-temperature superconductors: an experimental survey
• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• Destruction of the Fermi Surface in Underdoped High Tc Superconductors
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Theory of Underdoped Cuprates
• Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
• From Fermi Arcs to the Nodal Metal: Scaling of the Pseudogap with Doping and Temperature
• A Theory of the Pseudogap State of the Cuprates
• A Phenomenological Theory of The Pseudogap State
• Evidence for an energy scale for quasiparticle dispersion in Bi_2Sr_2CaCu_2O_8
• Strength of the Spin-Fluctuation-Mediated Pairing Interaction in a High-Temperature Superconductor
• A multi-component Fermi surface in the vortex state of an underdoped high-Tc superconductor
• Coexistence of Fermi arcs and Fermi pockets in a high Tc copper oxide superconductor
• Quasiparticles in the superconducting state of Bi2Sr2CaCu2O8
• Modeling the Fermi arc in underdoped cuprates
• Fluctuating spin density waves in metals
• Doping evolution of the electronic structure in the single-layer cuprates Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_{6+\delta }$: Comparison with other single-layer cuprates
• Electronic structure near the 1/8-anomaly in La-based cuprates
• Theory of Superconductivity in the Cuprates
• Momentum Dependence of the Single-Particle Self-Energy and Fluctuation Spectrum of Slightly Underdoped Bi_2 Sr_2 CaCu_2 O_{8+δ} from High Resolution Laser ARPES
• Finite band inversion of ARPES in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ in comparison with optics
• Spinon-Holon binding in $t-J$ model
• Fermi surface dichotomy on systems with fluctuating order
• Reconstruction of the Fermi surface in the pseudogap state of cuprates
• Evidence for two competing order parameters in underdoped cuprates superconductors from a model analysis of the Fermi-arc effects
• Considerations on the Mechanisms and Transition Temperatures of Superconductors

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