We calculate real-space static correlation functions related to basic entities of the one-dimensional Hubbard model, which emerge from the exact Bethe-ansatz solution. These entities involve complex rearrangements of the original electrons. Basic ingredients are operators related to unoccupied, singly occupied with spin up or spin down and doubly occupied sites. The spatial decay of their correlation functions is determined using an approximate mean-field-like approach based on the Zou-Anderson transformation and DMRG results for the half-filled case. The nature and spatial extent of the correlations between two sites on the Hubbard chain is studied using the eigenstates and eigenvalues of the two-site reduced density matrix.
Spinon excitations and spin correlations in the one-dimensional quantum magnet $β$-VOSO$_4$ probed by Raman spectroscopy
Sejong University（世宗大学）；University of Stavanger（斯塔万格大学）；University of Tennessee（田纳西大学）；University of Missouri（密苏里大学）；Oak Ridge National Laboratory（橡树岭国家实验室）；Sungkyunkwan University（成均馆大学）
A Model with Propagating Spinons beyond One Dimension
对于A. A. Nersesyan和A. M. Tsvelik，（Phys. Rev. B{ \bf 67}，024422（2003）），我们计算交错磁化和二聚化的关联函数。该模型被制定为一个集合的反铁磁链弱耦合的挫折交换相互作用。对四链情形的计算表明，这些函数不为零。由于所讨论的关联函数分解为自旋子产生和湮灭算符的关联函数的乘积，这就证明了在这个模型中自旋子是在垂直于链的方向上传播的。
Chirality and quasi-long-range order in finite-flux Gutzwiller states for magnetized frustrated magnets
Kavli Institute for Theoretical Physics, University of California, Santa Barbara（加州大学圣塔芭芭拉分校卡弗里理论物理研究所）；Institute for Theoretical Physics, University of Cologne（科隆大学理论物理研究所）；Department of Physics and Astronomy, University of Utah（犹他大学物理与天文系）；Canadian Institute for Advanced Research（加拿大高级研究院）；French American Center for Theoretical Science, CNRS, KITP（法国美国理论科学中心，法国国家科学研究中心，KITP）
Spinon Singlet Pairing: Origin of $d$-Wave Sign Structure in a Partially-Filled Stripe
Beijing Computational Science Research Center（北京计算科学研究中心）；Department of Physics, Beijing Normal University（北京师范大学物理学院）；Center of Quantum Materials and Devices, Chongqing University（重庆大学量子材料与器件中心）；Department of Physics and Chongqing Key Laboratory for Strongly Coupled Physics, Chongqing University（重庆大学物理学院及强关联物理重庆市重点实验室）
