# Frustration phenomenon in the spin-1/2 Ising-Heisenberg planar model of inter-connected trigonal bipyramid structures

## TL;DR

This study investigates the persistent frustration phenomena in a solvable spin-1/2 Ising-Heisenberg model on a planar lattice, revealing re-entrant behavior and notable thermodynamic variations near phase boundaries.

## Contribution

It provides an exact analysis of frustration in a mixed spin model, highlighting re-entrant spin arrangements and detailed thermodynamic behavior near phase transitions.

## Key findings

- Ground-state frustration persists above phase transition.
- Re-entrance of spin arrangements near critical temperature.
- Pronounced entropy and specific heat variations near phase boundaries.

## Abstract

Ground-state and finite-temperature properties of the exactly solvable mixed spin-1/2 Ising-Heisenberg planar model composed of identical trigonal bipyramids that are arranged into a regular archimedean lattice are examined with the aim to clarify the frustration phenomenon at zero and finite temperatures. It is shown that the ground-state spin frustration persists even far above the second-order phase transition. If the interaction ratio between the Heisenberg and Ising exchange interactions is close enough to the ground-state boundaries between the neighboring phases, a remarkable re-entrance of the (non-)frustrated spin arrangement of the Heisenberg spins can be observed around the critical temperature of the model. It is also evidenced that entropy and specific heat show pronounced temperature variations not only around the critical temperature, but also in low-temperature regime if values of the interaction parameters are taken from neighborhood of the ground-state phase transitions, where energies of the neighboring phases are very close.

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Source: https://tomesphere.com/paper/1908.01721