Quasiparticle metamorphosis in the random t-J model

Autor: Kumar, Aman, Sachdev, Subir, Tripathi, Vikram
Rok vydání: 2021
Předmět:
Zdroj: Physical Review B 106, L081120 (2022)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevB.106.L081120
Popis: 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
Comment: 7 pages, 6 figures
Databáze: arXiv