Quasiparticle metamorphosis in the random t-J model

Abstract

Motivated by the pseudogap-Fermi liquid transition in doped Mott insulators, we examine the excitations of a $t$-$J$ model with random and all-to-all hopping and exchange. The stability of quasiparticles such as spin-1/2 fermions, spin-1 magnons, and emergent Jordan-Wigner (JW) spinless fermions is cast as a problem of localization in the many-body Hilbert space, which is studied by the FEAST eigensolver algorithm. At low dopings, magnons and JW fermions are better defined than spin-1/2 fermions, which are unstable. Upon crossing a critical value of doping around $p_c$ = 1/3, their stabilities are interchanged. Near the critical doping, these quasiparticles are all found to be ill-defined. The critical point is thus associated with a localization transition in the many-body Hilbert space

arXiv comment7 pages, 6 figures

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Cited by in corpus (3)

• Unravelling the Nature of Spin Excitations Disentangled from Charge Contributions in a Doped Cuprate Superconductor
• A unified theory of strong coupling Bose polarons: From repulsive polarons to non-Gaussian many-body bound states
• The fate of the spin polaron in the 1D antiferromagnets