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Luttinger-liquid theory of purple bronze Li<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow /><mml:mrow><mml:mn>0.9</mml:mn></mml:mrow></mml:msub></mml:math>Mo<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow /><mml:mn>6</mml:mn></mml:msub></mml:math>O<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow /><mml:mn>17</mml:mn></mml:msub></mml:math>in the charge regime
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 1D band dispersion obtained in ab initio DFT-LMTO band …