Local density of states of 1D Mott insulators and CDW states with a boundary

Abstract

We determine the local density of states (LDOS) of one-dimensional incommensurate charge density wave (CDW) states in the presence of a strong impurity potential, which is modeled by a boundary. We find that the CDW gets pinned at the impurity, which results in a singularity in the Fourier transform of the LDOS at momentum 2k_F. At energies above the spin gap we observe dispersing features associated with the spin and charge degrees of freedom respectively. In the presence of an impurity magnetic field we observe the formation of a bound state localized at the impurity. All of our results carry over to the case of one dimensional Mott insulators by exchanging the roles of spin and charge degrees of freedom. We discuss the implications of our result for scanning tunneling microscopy experiments on spin-gap systems such as two-leg ladder cuprates and 1D Mott insulators.

References in corpus (6)

• Scanning tunneling spectroscopy of high-temperature superconductors
• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• STM Studies of TbTe3: Evidence for a fully Incommensurate Charge Density Wave
• Local Spectral Weight of a Luttinger Liquid: Effects from Edges and Impurities
• Dynamical response functions in the quantum Ising chain with a boundary
• Friedel oscillations of Density of States in a one-dimensional Mott insulator and Incommensurate Charge Density Wave/Superconductor

Cited by in corpus (3)

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