Breakup of the Fermi surface near the Mott transition in low-dimensional systems

Abstract

We investigate the Mott transition in weakly-coupled one-dimensional (1d) fermionic chains. Using a generalization of Dynamic Mean Field Theory, we show that the Mott gap is suppressed at some critical hopping $t_{\perp }^{c2}$. The transition from the 1d insulator to a 2d metal proceeds through an intermediate phase where the Fermi surface is broken into electron and hole pockets. The quasiparticle spectral weight is strongly anisotropic along the Fermi surface, both in the intermediate and metallic phases. We argue that such pockets would look like `arcs' in photoemission experiments.

arXiv commentREVTeX 4, 5 pages, 4 EPS figures. References added; problem with figure 4 fixed; typos corrected

References in corpus (12)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
• The pseudogap in high-temperature superconductors: an experimental survey
• Quantum Cluster Theories
• Destruction of the Fermi Surface in Underdoped High Tc Superconductors
• A Phenomenological Theory of The Pseudogap State
• Cluster Dynamical Mean Field analysis of the Mott transition
• Weakly coupled one-dimensional Mott insulators
• Deconfinement transition and Luttinger to Fermi Liquid crossover in quasi one-dimensional systems
• Interchain conductivity of coupled Luttinger liquids and organic conductors
• Crossover from Luttinger- to Fermi-liquid behavior in strongly anisotropic systems in large dimensions
• Dimensional crossover and deconfinement in Bechgaard salts

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