Ising Ladder with Four-Spin Plaquette Interaction in a Transverse Magnetic Field

The spin-1/2 quantum transverse Ising model, defined on a ladder structure, with nearest-neighbor and four-spin interaction on a plaquette, was studied by using exact diagonalization on finite ladders together with finite-size-scaling procedures. The quantum phase transition between the ferromagneti...

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Bibliographic Details
Main Authors: Maria Eugenia S. Nunes, Francisco Welington S. Lima, Joao A. Plascak
Format: Article
Language:English
Published: MDPI AG 2023-12-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/25/12/1665
Description
Summary:The spin-1/2 quantum transverse Ising model, defined on a ladder structure, with nearest-neighbor and four-spin interaction on a plaquette, was studied by using exact diagonalization on finite ladders together with finite-size-scaling procedures. The quantum phase transition between the ferromagnetic and paramagnetic phases has then been obtained by extrapolating the data to the thermodynamic limit. The critical transverse field decreases as the antiferromagnetic four-spin interaction increases and reaches a multicritical point. However, the exact diagonalization approach was not able to capture the essence of the dimer phase beyond the multicritical transition.
ISSN:1099-4300