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摘要翻译：
我们通过考察超立方晶格上t-J模型的配分函数的高温展开以及半填充态的多孔传播子和基态能量的微扰展开，证明了超立方晶格上t-J模型的符号结构与费米气体的符号结构完全不同。我们证明，虽然费米子符号可以在半填充状态下通过马歇尔符号变换完全被测量出来，但在掺杂情况下，大部分的费米子符号也可以被测量出来，留下一个稀薄的“不可约”符号结构，可以通过计算空穴与空穴之间的交换和空穴在实空间路径上的自旋来很容易地枚举出来。这种稀疏的符号结构意味着掺杂Mott绝缘体量子态的相互统计。
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英文标题：
《On the sign structure of doped Mott insulators》
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作者：
K. Wu, Z.Y. Weng, and J. Zaanen
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最新提交年份：
2008
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分类信息：
一级分类：Physics 物理学
二级分类：Strongly Correlated Electrons 强关联电子
分类描述：Quantum magnetism, non-Fermi liquids, spin liquids, quantum criticality, charge density waves, metal-insulator transitions
量子磁学，非费米液体，自旋液体，量子临界性，电荷密度波，金属-绝缘体跃迁
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
We demonstrate that the sign structure of the t-J model on a hypercubic lattice is entirely different from that of a Fermi gas, by inspecting the high temperature expansion of the partition function up to all orders, as well as the multi-hole propagator of the half-filled state and the perturbative expansion of the ground state energy. We show that while the fermion signs can be completely gauged away by a Marshall sign transformation at half-filling, the bulk of the signs can be also gauged away in a doped case, leaving behind a rarified "irreducible" sign structure that can be enumerated easily by counting exchanges of holes with themselves and spins on their real space paths. Such a sparse sign structure implies a mutual statistics for the quantum states of the doped Mott insulator.
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PDF链接：
https://arxiv.org/pdf/802.0273
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