Spin-orbit coupled fermions in ladderlike optical lattices at half filling

G. Sun; J. Jaramillo; L. Santos; T. Vekua

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Spin-orbit coupled fermions in ladderlike optical lattices at half filling

机译：半填充时梯形光学晶格中的自旋轨道耦合费米子

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摘要

We study the ground-state phase diagram of two-component fermions loaded in a ladderlike lattice at half filling in the presence of spin-orbit coupling. For repulsive fermions with unidirectional spin-orbit coupling along the legs we identify a Neel state which is separated from rung-singlet and ferromagnetic states by Ising phase transition lines. These lines cross for maximal spin-orbit coupling and a direct Gaussian phase transition between rung-singlet and ferro phases is realized. For the case of Rashba-like spin-orbit coupling, besides the rung-singlet phases two distinct striped ferromagnetic phases are formed. In the case of attractive fermions with spin-orbit coupling at half filling for decoupled chains we identify a dimerized state that separates a singlet superconductor and a ferromagnetic state.

机译：我们研究了在自旋轨道耦合存在的情况下在半填充状态下装在梯状晶格中的两组分费米子的基态相图。对于沿腿具有单向自旋轨道耦合的排斥性费米子，我们确定了Neel状态，该状态通过Ising相变线与梯级，单磁和铁磁状态分开。这些线交叉以实现最大的自旋-轨道耦合，并实现了梯级-单相和铁相之间的直接高斯相变。对于类似Rashba的自旋轨道耦合，除了梯级-单相外，还形成了两个不同的带状铁磁相。对于具有解耦链半填充的自旋轨道耦合的有吸引力费米子，我们确定了将单重态超导体和铁磁态分开的二聚态。

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《Physical review》 |2013年第16期|165101.1-165101.8|共8页
作者
G. Sun; J. Jaramillo; L. Santos; T. Vekua;
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作者单位

Institut fuer Theoretische Physik, Leibniz Universitaut Hannover, 30167 Hannover, Germany;

Institut fuer Theoretische Physik, Leibniz Universitaut Hannover, 30167 Hannover, Germany;

Institut fuer Theoretische Physik, Leibniz Universitaut Hannover, 30167 Hannover, Germany;

Institut fuer Theoretische Physik, Leibniz Universitaut Hannover, 30167 Hannover, Germany;

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fermion systems and electron gas; degenerate fermi gases; multicomponent condensates; spinor condensates; lattice fermion models (hubbard model, etc.);

机译：费米子系统和电子气简并的费米气体多组分冷凝物;纺丝冷凝物;格子费米子模型（哈伯德模型等）;

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1. Majorana fermions with spin-orbit coupled cold atom in one-dimensional optical lattices [J] . C. J. Shan, W. W. Cheng, J. B. Liu, Journal of the Optical Society of America, B. Optical Physics . 2014,第3期

机译：一维光学晶格中具有自旋轨道耦合冷原子的马约拉那费米子
2. APS -APS March Meeting 2017 - Event - Searching new topological superfluids and phase transitions with spin-orbit coupled fermions in an optical lattice [J] . Yu Yixiang, Fadi Sun, Jinwu Ye, Bulletin of the American Physical Society . 2017,第4期

机译：APS -APS 3月会议2017年 - 事件 - 在光学晶格中搜索新的拓扑超流量和相位过渡，在光学晶格中使用旋转轨道耦合的码头
3. Chern-number spectrum of ultracold fermions in optical lattices tuned independently via artificial magnetic, Zeeman, and spin-orbit fields [J] . Man Hon Yau, C. A. R. Sá de Melo Physical Review, A . 2019,第4aPta2期

机译：通过人工磁，塞曼和旋转轨道字段独立调谐光学格子中的超级纤维的Chern-Number谱
4. Synthetic spin-orbit coupling for ultracold fermions in optical lattices [C] . Bo Song, Chengdong He, Zejian Ren, Conference on Lasers and Electro-Optics Pacific Rim . 2018

机译：用于光学格子中的超级纤维的合成自旋轨道耦合
5. Superfluids of Fermions in spin-orbit coupled systems and photons inside a cavity. [D] . Yu, Yi-Xiang. 2015

机译：自旋轨道耦合系统中费米子的超流体以及腔体内的光子。
6. Dzyaloshinskii-Moriya Interaction and Spiral Order in Spin-orbit Coupled Optical Lattices [O] . Ming Gong, Yinyin Qian, Mi Yan, -1

机译：自旋轨道耦合光学晶格中的Dzyaloshinskii-Moriya相互作用和螺旋顺序
7. Spin-orbit coupled fermions in ladder-like optical lattices at half-filling [O] . Sun, G., Jaramillo, J., Santos, L., 2013

机译：梯形光学晶格中的自旋轨道耦合费米子半填充

Spin-orbit coupled fermions in ladderlike optical lattices at half filling

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