论文标题
具有长距离相互作用的抗铁磁链中的远程顺序和量子关键
Long-Range Order and Quantum Criticality in Antiferromagnetic Chains with Long-Range Staggered Interactions
论文作者
论文摘要
我们研究了海森堡抗铁磁链中的量子相变，具有交错的幂律长期相互作用。我们采用密度 - 矩阵重新归一化组（DMRG）算法和保真度敏感性作为关键度度量，我们建立了比从旋转波近似，量子蒙特卡洛和DMRG中获得的量子关键点更准确的值。对于强大的远程相互作用，偏差尤其明显。我们将各向同性的远程相互作用扩展到各向异性病例，并发现量子相的万花筒从远程交换相互作用和对称性破坏的各向异性相互作用中出现。我们证明了非覆盖的远距离相互作用会引起海森堡反铁磁链的真正远程顺序，并具有连续的对称性破坏，从而提高了Mermin-Wagner定理所施加的限制。
We study quantum phase transitions in Heisenberg antiferromagnetic chains with a staggered power-law decaying long-range interactions. Employing the density-matrix renormalization group (DMRG) algorithm and the fidelity susceptibility as the criticality measure, we establish more accurate values of quantum critical points than the results obtained from the spin-wave approximation, quantum Monte Carlo and DMRG in literatures. The deviation is especially evident for strong long-range interactions. We extend isotropic long-range interactions to the anisotropic cases and find that kaleidoscope of quantum phases emerge from the interplay of anisotropy of the long-range exchange interaction and symmetry breaking. We demonstrate nonfrustrating long-range interactions induce the true long-range order in Heisenberg antiferromagnetic chains with a continuous symmetry breaking, lifting the restrictions imposed by the Mermin-Wagner theorem.
