论文标题
Kagomé$ J_1-J_3 $ HEISENBERG模型的新兴Potts订单
Emergent Potts order in the kagomé $J_1-J_3$ Heisenberg model
论文作者
论文摘要
由Vesignieite bacu $ _3 $ v $ _2 $ o $ o $ _8 $（哦）$ _ 2 $的物理特性的动机，我们研究了Kagomélattice上的$ J_1-J_3 $ HEISENBERG模型，建议用$ J_1 <0 $ j_1 <0 $ j_3 $ j_3 \ ggggggggggg | j_1 | $ j_1 | $ j_1 | $ J_1 <0 $ j_1 <0 $ j_1 | $ j_1 |。经典基态的性质和可能的相跃迁通过分析计算和平行回火蒙特卡洛模拟进行了研究。对于$ j_1 <0 $和$ j_3> \ frac {1+ \ sqrt {5}}} 4 | j_1 | $，地基状态并非全部与哈密顿对称性相关。订单通过疾病机制在低温下出现，有利于结合构型，并导致出现的$ q = 4 $ potts参数。这导致有限的温度相变。通过线性自旋波近似和$ s = 1/2 $模型的高温扩展研究量子波动的效果。对于$ \ \ frac14 | j_1 | $和$ \ frac {1+ \ sqrt {5}}} 4 | J_1 | $之间的$ j_3 $，基态经历了一系列的半刺激状态，可能在低温下导致多个相位过渡。
Motivated by the physical properties of Vesignieite BaCu$_3$V$_2$O$_8$(OH)$_2$, we study the $J_1-J_3$ Heisenberg model on the kagomé lattice, that is proposed to describe this compound for $J_1<0$ and $J_3\gg|J_1|$. The nature of the classical ground state and the possible phase transitions are investigated through analytical calculations and parallel tempering Monte Carlo simulations. For $J_1<0$ and $J_3>\frac{1+\sqrt{5}}4|J_1|$, the ground states are not all related by an Hamiltonian symmetry. Order appears at low temperature via the order by disorder mechanism, favoring colinear configurations and leading to an emergent $q=4$ Potts parameter. This gives rise to a finite temperature phase transition. Effect of quantum fluctuations are studied through linear spin wave approximation and high temperature expansions of the $S=1/2$ model. For $J_3$ between $\frac14|J_1|$ and $\frac{1+\sqrt{5}}4|J_1|$, the ground state goes through a succession of semi-spiral states, possibly giving rise to multiple phase transitions at low temperatures.
