【137】Tensor network investigation of the finite temperature behaviour of the $J_1-J_2-J_3$ Kagome Ising Antiferromagnet

6 Sept 2023, 18:30
15m
Aula 033

Aula 033

Talk Condensed Matter Physics (KOND) Condensed Matter Physics (KOND)

Speaker

Afonso Dos Santos Rufino

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

Authors

Afonso Dos Santos Rufino Frédéric Mila (EPFL) Jeanne Colbois (Institut de Physique) Samuel Louis Nyckees

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