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北美退伍军人节(Veterans Day),12 日无更新
arXiv 1101.3259cond-mat.str-el
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揭示三维轨道有序跃迁的本质:立方晶格上的$e_g$和$t_{2g}$模型

Unveiling the nature of three dimensional orbital ordering transitions: the case of $e_g$ and $t_{2g}$ models on the cubic lattice

Sandro Wenzel, Andreas M. Läuchli

摘要:

我们进行了大规模的有限温度Monte Carlo模拟的经典$e_g$和$t_{2g}$轨道模型的简单立方晶格在三维空间。$e_g$模型显示了向轨道有序相的连续相变。虽然相关长度指数$ν\approx0.66(1)$接近3D XY值,但指数$η\approx 0.15(1)$与O(N)值显著不同。在$T_c$处出现U(1)对称性,其对于$T<T_c$而言在$Λ\sim ξ^a$的交叉长度标度以下持续存在,具有异常小的$a\approx1.3$。最后,对于$t_{2g}$模型,我们发现了{ \em一级}转变成低温晶格-晶格相,没有轨道顺序。

英文摘要:

We perform large scale finite-temperature Monte Carlo simulations of the classical $e_g$ and $t_{2g}$ orbital models on the simple cubic lattice in three dimensions. The $e_g$ model displays a continuous phase transition to an orbitally ordered phase. While the correlation length exponent $ν\approx0.66(1)$ is close to the 3D XY value, the exponent $η\approx 0.15(1)$ differs substantially from O(N) values. At $T_c$ a U(1) symmetry emerges, which persists for $T<T_c$ below a crossover length scaling as $Λ\sim ξ^a$, with an unusually small $a\approx1.3$. Finally, for the $t_{2g}$ model we find a {\em first order} transition into a low-temperature lattice-nematic phase without orbital order.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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