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Bulletin of the American Physical Society

Correlation of Distinct Physical Properties in Luttinger Liquid

Sihan Zhao, Sheng Wang, Fanqi Wu, Wu Shi, M. Iqbal Bakti Utama, Tairu Lyu, Kenji Watanabe, Takashi Taniguchi, Alex K. Zettl, Chongwu Zhou, Rui Wang

Published Mar 5, 2018• 0 citations
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I give a brief introduction to Luttinger liquids. Luttinger liquids are paramagnetic one-dimensional metals without Landau quasi-particle excitations. The elementary excitations are collective charge and spin modes, leading to charge-spin separation. Correlation functions exhibit power-law behavior. All physical properties can be calculated, e.g. by bosonization, and depend on three parameters only: the renormalized coupling constant Kρ, and the charge and spin velocities. I also discuss the stability of Luttinger liquids with respect to temperature, interchain coupling, lattice effects and phonons, and list important open problems.