Ground-state phase diagram of the extended two-leg t−J ladder

• DOI: 10.1103/physrevb.107.125114
• Publication Date: 2023-03-15T22:59:55Z
• Authors: Xin Lu; Dai-Wei Qu; Yang Qi; Wei Li; Shou-Shu Gong
• Keywords: 0301 basic medicine; Superconductivity (cond-mat.supr-con); Condensed Matter - Strongly Correlated Electrons; 03 medical and health sciences; Strongly Correlated Electrons (cond-mat.str-el); Condensed Matter - Superconductivity; FOS: Physical sciences

Inspired by the observation of a robust $d$-wave superconducting phase driven tuning next-nearest-neighbor (NNN) electron hopping in recent density matrix renormalization group (DMRG) studies six- and eight-leg $t\text{\ensuremath{-}}J$ model, we systematically study diagram two-leg ladder with NNN couplings (including spin interaction) large region doping level, means DMRG calculations. Upon from half filling, identify Luther-Emery liquid (LEL) phase, which can be distinguished as pairing-dominant charge density-dominant regime comparing Luttinger parameter ${K}_{\ensuremath{\rho}}$. With growing couplings, pairing correlations are enhanced correspondingly ${K}_{\ensuremath{\rho}}$ increases, driving system to regime. In Tomonaga-Luttinger (TLL) larger region, two TLL regimes different features correlation. At quarter filling ($1/2$ level), find that strong dimer orders bond energy open actually decay algebraically thus do not indicate spontaneous translational symmetry breaking. Our results show LEL ladder, seem play similar role on wider cylinder, this more accessible helpful toward understanding emergence remarkable system.