混合维度 $t-J$ 模型中的鲁棒条纹
Robust stripes in the mixed-dimensional $t-J$ model
AI总结：
本文利用有限温度密度矩阵重整化群研究掺杂混合维度 $t-J$ 模型，发现无配对条件下具有高临界温度（约 $J/2$）的稳定垂直条纹相，并揭示其隐藏自旋关联赋予条纹相抗涨落鲁棒性。
摘要：
在微观层面理解强关联系统中竞争序是现代量子多体物理的一个关键挑战。例如，Fermi-Hubbard 模型中条纹序的起源及其与配对的关系仍然是核心问题之一，并可能有助于理解铜氧化物中高温超导的起源。在此，我们分析了掺杂混合维度（mixD）$t-J$ 模型变体中的条纹形成，其中电荷载流子被限制为只能沿一个方向运动，而磁性 SU(2) 相互作用是二维的。利用有限温度密度矩阵重整化群，我们在没有配对的情况下发现了一种稳定的垂直条纹相，其特征是在很宽的掺杂范围内存在非公度磁序和长程电荷密度波轮廓。我们发现其临界温度很高，约为磁耦合 $\u223c J/2$ 的量级，因此在当前量子模拟器的可及范围内。量子模拟器可获得的多体态快照揭示了 mixD 设置中隐藏的自旋关联，即当仅考虑磁性背景时，反铁磁关联会得到增强。所提出的模型可被视为实现了条纹相的母哈密顿量，其隐藏的自旋关联导致了所预测的对量子涨落和热涨落的鲁棒性。
英文摘要：
Microscopically understanding competing orders in strongly correlated systems is a key challenge in modern quantum many-body physics. For example, the origin of stripe order and its relation to pairing in the Fermi-Hubbard model remains one of the central questions, and may help to understand the origin of high-temperature superconductivity in cuprates. Here, we analyze stripe formation in the doped mixed-dimensional (mixD) variant of the $t-J$ model, where charge carriers are restricted to move only in one direction, whereas magnetic SU(2) interactions are two-dimensional. Using the density matrix renormalization group at finite temperature, we find a stable vertical stripe phase in the absence of pairing, featuring incommensurate magnetic order and long-range charge density wave profiles over a wide range of dopings. We find high critical temperatures on the order of the magnetic coupling $\sim J/2$, hence being within reach of current quantum simulators. Snapshots of the many-body state, accessible to quantum simulators, reveal hidden spin correlations in the mixD setting, whereby antiferromagnetic correlations are enhanced when considering purely the magnetic background. The proposed model can be viewed as realizing a parent Hamiltonian of the stripe phase, whose hidden spin correlations lead to the predicted resilience against quantum and thermal fluctuations.
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