Speaker
Description
The finite temperature behavior of the Kagome Ising Antiferromagnet with farther neighbor interactions $(J_1,J_2,J_3)$ is investigated with the Corner Transfer Matrix Renormalization Group (CTMRG) algorithm. In the parameter region $J_1>J_3>J_2>0$, the system breaks a $\mathbb{Z}_3$ rotation symmetry and a $\mathbb{Z}_2$ translation symmetry in the ground state. These symmetries are restored at higher temperature either in a single first-order transition or through a couple of transitions separated by an intermediate nematic phase, depending on the value of $J_2$.
In the limit $J_1,J_3\gg J_2$, the rotational symmetry is restored in a sequence of first-order transitions whose discrete character can be understood from the quantisation of the density of extended defects (Domain Walls).
Theoretical Work | Theory |
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