Emergence and Disruption of Spin-Charge Separation in One-Dimensional Repulsive Fermions
| Autor: | Feng He, Han Pu, Yuzhu Jiang, Hai-Qing Lin, Randall G. Hulet, Xi-Wen Guan |
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| Rok vydání: | 2020 |
| Předmět: |
Condensed Matter::Quantum Gases
Physics Spin–charge separation FOS: Physical sciences General Physics and Astronomy Fermion 01 natural sciences Bethe ansatz Two degrees of freedom Quantum Gases (cond-mat.quant-gas) Ultracold atom Quantum mechanics 0103 physical sciences Quasiparticle Condensed Matter::Strongly Correlated Electrons Condensed Matter - Quantum Gases 010306 general physics Spectroscopy Fermi gas |
| Zdroj: | Physical Review Letters. 125 |
| ISSN: | 1079-7114 0031-9007 |
| Popis: | At low temperature, collective excitations of one-dimensional (1D) interacting fermions exhibit spin-charge separation, a unique feature predicted by the Tomonaga-Luttinger liquid (TLL) theory, but a rigorous understanding remains challenging. Using the thermodynamic Bethe Ansatz (TBA) formalism, we analytically derive universal properties of a 1D repulsive spin-1/2 Fermi gas with arbitrary interaction strength. We show how spin-charge separation emerges from the exact TBA formalism, and how it is disrupted by the interplay between the two degrees of freedom which brings us beyond the TLL paradigm. Based on the exact low-lying excitation spectra, we further evaluate the spin and charge dynamical structure factors (DSFs). The peaks of the DSFs exhibit distinguishable propagating velocities of spin and charge as functions of interaction strength, which can be observed by Bragg spectroscopy with ultracold atoms. 4+4 figures, 6 page+ 14 pages, new results and references were added |
| Databáze: | OpenAIRE |
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