Phase diagram of the antiferromagnetic J_1-J_2 spin-1 pyrochlore Heisenberg model
arxiv(2024)
摘要
We study the phase diagram of the antiferromagnetic J_1-J_2 Heisenberg
model on the pyrochlore lattice with S=1 spins at zero and finite
temperatures. We use a combination of complementary state-of-the-art quantum
many-body approaches such as density matrix renormalization group (DMRG),
density-matrix purification and pseudo-Majorana functional renormalization
group (PMFRG). We present an efficient approach to preserve the applicability
of the PMFRG for spin-1 systems at finite temperatures despite the inevitable
presence of unphysical spin states. The good performance of our methods is
first demonstrated for the nearest-neighbor pyrochlore Heisenberg model where
the finite temperature behavior of the specific heat and uniform susceptibility
show excellent agreement within PMFRG and density-matrix purification.
Including an antiferromagnetic second neighbor coupling we find that the
non-magnetic ground-state phase of the nearest neighbor model extents up to
J_2/J_1 ∼ 0.02 within DMRG, beyond which magnetic k=0
long-range order sets in. Our PMFRG calculations find the phase transition in a
similar regime J_2/J_1∼ 0.035(8) which, together with the DMRG result,
provides a strong argument for the existence of a small but finite non-magnetic
ground-state phase in the spin-1 pyrochlore Heisenberg model. We also discuss
the origin of discrepancies between different versions of the functional
renormalization group concerning the location of this phase transition.
更多查看译文
AI 理解论文
溯源树
样例
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要