Statistical Transfer Matrix Study of the $\pm J$ Multileg Ising Ladders and Tubes

TL;DR

This study uses the statistical transfer matrix method to analyze finite temperature properties of symmetric $ ext{±}J$ multileg Ising ladders and tubes, revealing even-odd oscillations in ground state entropy and energy for tubes and excitation energy differences.

Contribution

It introduces a detailed transfer matrix analysis of multileg Ising ladders and tubes, highlighting distinct even-odd oscillation phenomena and excitation energy behaviors.

Findings

Ground state entropy oscillates with the number of legs in tubes.

Ground state energy exhibits similar even-odd oscillations in tubes.

Lowest excitation energy differs between even and odd-leg ladders.

Abstract

Finite temperature properties of symmetric $\pm J$ multileg Ising ladders and tubes are investigated using the statistical transfer matrix method. The temperature dependences of the specific heat and entropy are calculated. In the case of tubes, it is found that the ground state entropy shows an even-odd oscillation with respect to the number of legs. The same type of oscillation is also found in the ground state energy. On the contrary, these oscillations do not take place in ladders. From the temperature-dependence of the specific heat, it is found that the lowest excitation energy is 4J for even-leg ladders while it is 2J otherwise, The physical origin of these behaviors is discussed based on the structure of excitations.