We consider conditions for existence of fermionic quasiparticles in a strongly anisotropic quasi-one-dimensional metal. The adopted model is a model of chains of spin-1/2 Luttinger liquid coupled by small interchain hopping. It is shown that the Luttinger liquid becomes more stable with decrease of the lattice coordination number. It is also shown that with a significant spin-charge separation some Luttinger liquid features may persist in the Fermi liquid phase.

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Spin-incoherent Luttinger liquid of one-dimensional SU( $\kappa$ ) fermions

H. H. Jen, Sungkit Yip

Published May 29, 2018• 0 citations

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N=32

. We numerically calculate single-particle density matrices in two cases: (1) equal populations for each spin components (balanced) and (2) all

{S}_{z}

manifolds included. In contrast to noninteracting multicomponent fermions, the momentum distributions are broadened due to strong interactions. As $\ensuremath{\kappa}$ increases, the momentum distributions are less broadened for fixed

N

, while they are more broadened for fixed number of particles per spin component. We then compare numerically calculated high-momentum tails with analytical predictions which are proportional to

1/{p}^{4}

, in good agreement. Thus, our theoretical study provides a comparison with the experiments of repulsive multicomponent alkaline-earth fermions with a tunable $\mathrm{SU}(\ensuremath{\kappa}$) spin symmetry in the spin-incoherent regime.