Classification and Monte Carlo study of symmetric $Z_{2}$ spin liquids on the triangular lattice

Zheng, Wayne; Mei, Jia‐Wei; Qi, Yang

doi:10.48550/arxiv.1505.05351

Cited by 19 publications

(37 citation statements)

References 52 publications

(96 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This is evidenced by the observed nonzero spin-gap and exponentially falling spin-spin correlations where the correlation length is significantly shorter than the either dimension of the cylinders, and shortrange dimer-dimer and chiral-chiral correlations. [30][31][32][33][34] This is also consistent with our recent results by keeping an unprecedentedly large number of states on wider cylinders, where we find a gapped spin liquid ground state. [39] Therefore, these leave little doubt that doping this state corresponds to a doped gapped QSL.…”

supporting

confidence: 90%

“…(1), is highly frustrated. A number of numerical simulations have provided strong evidence that its ground state is a QSL in the region of 0.07 ≤ J 2 /J 1 ≤ 0.15, [30][31][32][33][34][35][36][37] which hence can serve as an ideal platform to investigate the consequence of doping a QSL. Although it is still under debate whether this QSL is gapped or gapless in the 2D limit, it is consistent with a gapped (possibly "Z 2 " [38]) spin liquid on finite width cylinders.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Superconductivity in the doped quantum spin liquid on the triangular lattice

Jiang

2019

Preprint

View full text Add to dashboard Cite

Broad interest in quantum spin liquid (QSL) phases was triggered by the notion that they can be viewed as insulating phases with preexisting electron-pairs, such that upon light doping they might automatically yield superconductivity. Yet despite intense efforts, definitive evidence is lacking. We address the problem of a lightly doped QSL through a large-scale density-matrix renormalization group study of the t-J model on the triangular lattice with a small but non-zero concentration of doped holes. The ground state is consistent with a Luther-Emery liquid with power-law superconducting and charge-density-wave correlations associated with partially-filled charge stripes. In particular, the superconducting correlations are dominant on both four-leg and six-leg cylinders at all hole doping concentrations. Our results provide direct evidences that doping a QSL can naturally lead to robust superconductivity.

show abstract

supporting

confidence: 90%

mentioning

confidence: 99%

Superconductivity in the doped quantum spin liquid on the triangular lattice

Jiang

2019

Preprint

View full text Add to dashboard Cite

show abstract

“…in which A and B are both real numbers. We note that this ansatz has exactly the same form as that of the A 1 phase obtained from projective symmetry group analysis 14,20,43 . Furthermore, it reduces to the mean field ansatz proposed by Sachdev 5 when we set B = 0.…”

Section: Tlhafmentioning

confidence: 78%

Why the Schwinger Boson mean field theory fails to describe the spin dynamics of the triangular lattice antiferromagnetic Heisenberg model?

Zhang,

2021

Preprint

View full text Add to dashboard Cite

We find that the Schwinger Boson mean field theory(SBMFT) supplemented with Gutzwiller projection provides an exceedingly accurate description for the ground state of the spin-1 2 triangular lattice antiferromagnetic Heisenberg model(spin-1 2 TLHAF). However, we find the SBMFT fails even qualitatively in the description of the dynamical behavior of the system. In particular, the SBMFT fails to predict the Goldstone mode in the magnetic ordered phase. We show that the coherent peak in the two-spinon continuum in the presence of spinon condensate should not be interpreted as a magnon mode. The SBMFT also predicts incorrectly a gapless longitudinal spin fluctuation mode in the magnetic ordered phase. We show that these failures are related to the following facts: (1)Spinon condensation fails to provide a consistent description of the order parameter manifold of the 120 degree ordered phase. (2)There lacks in the SBMFT the coupling between the uncondensed spinon and the spinon condensate, which breaks both the spin rotational and the translational symmetry.(3)There lacks in the SBMFT the rigidity that is related to the no double occupancy constraint on the spinon system. We show that such failures of the SBMFT is neither restricted to the spin-1 2 TLHAF nor to the magnetic ordered phase. We proposed a generalized SBMFT to resolve the first two issues and a new formalism to address the third issue.

show abstract

“…A number of simulations provide strong evidences that its ground state is a QSL in the parameter region 0.07 J 2 /J 0.15. [19][20][21][22][23][24][25] In addition, a new spin liquid phase has been found in the spin-1/2 triangular lattice Heisenberg model with additional time-reversal symmetry (TRS) breaking scalar chiral interaction J χ , i.e., J-J χ terms in Eq. (1).…”

mentioning

confidence: 99%

Topological superconductivity in the doped chiral spin liquid on the triangular lattice

Jiang,

Jiang

2020

Preprint

View full text Add to dashboard Cite

It has long been proposed that doping a chiral spin liquid (CSL) or fractional quantum Hall state can give rise to topological superconductivity. Despite of intensive effort, definitive evidences still remain lacking. We address this problem by studying the t-J model supplemented by timereversal symmetry breaking chiral interaction Jχ on the triangular lattice using density-matrix renormalization group with a finite concentration δ of doped holes. It has been established that the undoped, i.e., δ=0, system has a CSL ground state in the parameter region 0.32 ≤ Jχ/J ≤ 0.56. Upon light doping, we find that the ground state of the system is consistent with a Luther-Emery liquid with power-law superconducting and charge-density-wave correlations but short-range spin-spin correlations. In particular, the superconducting correlations, whose pairing symmetry is consistent with d ± id-wave, are dominant at all hole doping concentrations. Our results provide direct evidences that doping the CSL on the triangular lattice can naturally give rise to topological superconductivity.

show abstract

Classification and Monte Carlo study of symmetric $Z_{2}$ spin liquids on the triangular lattice

Cited by 19 publications

References 52 publications

Superconductivity in the doped quantum spin liquid on the triangular lattice

Superconductivity in the doped quantum spin liquid on the triangular lattice

Why the Schwinger Boson mean field theory fails to describe the spin dynamics of the triangular lattice antiferromagnetic Heisenberg model?

Topological superconductivity in the doped chiral spin liquid on the triangular lattice

Contact Info

Product

Resources

About