混合维$t-J_z$模型中的Z2部分子相
Z2 parton phases in the mixed-dimensional $t-J_z$ model
摘要：
我们研究了掺杂伊辛反铁磁体中自旋和电荷自由度的相互作用，其中电荷的运动被限制在一维。这个混合维的$t - J_z$模型的相图可以用耦合到Z2晶格规范场的无自旋特性来理解。反铁磁耦合引起Z2电场线之间的相互作用，这反过来又导致在低温下的鲁棒条纹相。在较高的温度下，被发现为低掺杂，而在较高的掺杂值，一个强大的退罚款电荷-气相被认为是隐藏的反铁磁秩序的特点。我们确认这些阶段的量子蒙特卡罗模拟。我们的模型可以在超冷原子实验中实现，并且可以用现有的技术检测它的相位。具有足够高空穴浓度的条带形成的临界温度在自旋交换能$J_z$附近，即，在目前的实验范围内。
英文摘要：
We study the interplay of spin- and charge degrees of freedom in a doped Ising antiferromagnet, where the motion of charges is restricted to one dimension. The phase diagram of this mixed-dimensional $t - J_z$ model can be understood in terms of spin-less chargons coupled to a Z2 lattice gauge field. The antiferromagnetic couplings give rise to interactions between Z2 electric field lines which, in turn, lead to a robust stripe phase at low temperatures. At higher temperatures, a confined meson-gas phase is found for low doping whereas at higher doping values, a robust deconfined chargon-gas phase is seen which features hidden antiferromagnetic order. We confirm these phases in quantum Monte Carlo simulations. Our model can be implemented and its phases detected with existing technology in ultracold atom experiments. The critical temperature for stripe formation with a sufficiently high hole concentration is around the spin-exchange energy $J_z$, i.e., well within reach of current experiments.
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