Luttinger liquid theory of purple bronze $L{i}_{0.9}M{o}_6{O}_{17}$ in the charge regime

Abstract

Molybdenum purple bronze Li${}_{0.9}$Mo${}_6$O${}_{17}$ is an exceptional material known to exhibit one dimensional (1D) properties for energies down to a few meV. This fact seems to be well established both in experiments and in band structure theory. We use the unusual, very 1-dimensional band dispersion obtained in \emph{ab-initio} DFT-LMTO band calculations as our starting point to study the physics emerging below 300meV. A dispersion perpendicular to the main dispersive direction is obtained and investigated in detail. Based on this, we derive an effective low energy theory within the Tomonaga Luttinger liquid (TLL) framework. We estimate the strength of the possible interactions and from this deduce the values of the TLL parameters for charge modes. Finally we investigate possible instabilities of TLL by deriving renormalization group (RG) equations which allow us to predict the size of potential gaps in the spectrum. While $2k_F$ instabilities strongly suppress each other, the $4k_F$ instabilities cooperate, which paves the way for a possible CDW at the lowest energies. The aim of this work is to understand the experimental findings, in particular the ones which are certainly lying within the 1D regime. We discuss the validity of our 1D approach and further perspectives for the lower energy phases.

We wish to acknowledge financial support of MaNEP, SectionII

References in corpus (7)

• Tomonaga-Luttinger parameters for doped Mott insulators
• New Luttinger liquid physics from photoemission on Li${}_{0.9}$Mo${}_6$O${}_{17}$
• Generalized Spectral Signatures of Electron Fractionalization in Quasi-One and -Two Dimensional Molybdenum Bronzes and Superconducting Cuprates
• Effective Hamiltonian for the electronic properties of the quasi-one-dimensional material Li0.9Mo6O17
• Tomonaga-Luttinger parameters and spin excitations in the dimerized extended Hubbard model
• Luttinger liquid ARPES spectra from samples of Li${}_{0.9}$Mo${}_6$O${}_{17}$ grown by the temperature gradient flux technique
• The case for the bulk nature of the spectroscopic Luttinger liquid signatures observed in angle resolved photoemission of Li0.9Mo6O17

Cited by in corpus (18)

• A disorder-enhanced quasi-one-dimensional superconductor
• Discovery of unconventional charge density wave at the surface of K0.9Mo6O17
• Photoemission Spectroscopy and the Unusually Robust One Dimensional Physics of Lithium Purple Bronze
• Effective model for electronic properties of the quasi one-dimensional purple bronze Li0.9Mo6O17 based on ab-initio calculations
• Extreme thermopower anisotropy and interchain transport in the quasi-one-dimensional metal Li(0.9)Mo(6)O(17)
• Spin-triplet superconductivity in a weak-coupling Hubbard model for the quasi-one-dimensional compound Li${}_{0.9}$Mo${}_6$O${}_{17}$
• Charge Density Waves and the Hidden Nesting of Purple Bronze K${}_{0.9}$Mo${}_6$O${}_{17}$
• Stoichiometry, structure, and transport in the quasi-one-dimensional metal, Li(0.9)Mo(6)O(17)
• Triplet superconductivity in a model of Li${}_{0.9}$Mo${}_6$O${}_{17}$
• Superconductivity in the regime of attractive interactions in the Tomonaga-Luttinger liquid
• Spin-orbit coupling and odd-parity superconductivity in the quasi-one-dimensional compound Li${}_{0.9}$Mo${}_6$O${}_{17}$
• Multi-orbital physics in lithium-molybdenum purple-bronze: going beyond paradigm
• Charge fluctuations in the unconventional metallic state of Li0.9Mo6O17
• Density matrix of electrons coupled to phonons and the electron-phonon entanglement content of excited states
• Wannier-Orbital theory and ARPES for the quasi-1D conductor LiMo${}_6$O${}_{17}$
• Parameters of Tomonaga-Luttinger liquid in a quasi-1D material with Coulomb interactions
• Pressure-induced structural transitions triggering dimensional crossover in lithium purple bronze Li0.9M6O17
• Band-selective Holstein polaron in Luttinger liquid material A0.3MoO3 (A = K, Rb)