Hybrid critical line in the spin-1/2 XX chain with gamma interaction under transverse fields

Abstract We investigate the spin-1/2 XX chain with uniform Gamma interaction under a transverse magnetic field. By exactly diagonalizing the Hamiltonian using the Fermionization technique, we rigorously analyze the energy spectrum, distinguishing between gapped and gapless domains at absolute zero....

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Main Authors: M. Abbasi, S. Mahdavifar, M. Motamedifar
Format: Article
Language:English
Published: Nature Portfolio 2025-07-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-025-05220-9
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author M. Abbasi
S. Mahdavifar
M. Motamedifar
author_facet M. Abbasi
S. Mahdavifar
M. Motamedifar
author_sort M. Abbasi
collection DOAJ
description Abstract We investigate the spin-1/2 XX chain with uniform Gamma interaction under a transverse magnetic field. By exactly diagonalizing the Hamiltonian using the Fermionization technique, we rigorously analyze the energy spectrum, distinguishing between gapped and gapless domains at absolute zero. Additionally, we thoroughly examine various order parameters, including magnetization, staggered magnetization, chirality, and spin nematicity, which delineate the diverse phases within the ground state phase diagram, each characterized by its unique long-range order. Notably, we identify a hybrid critical line in the ground state phase diagram. This hybrid critical line is defined as a line where multiple types of phase transitions converge. At points along this line, the system exhibits behaviors characteristic of different types of critical points simultaneously. Understanding the magnetic properties under different field conditions can lead to the development of new magnetic materials and technologies. Our results provide a framework for experimentally manipulating magnetic fields, allowing researchers to control and observe changes in material properties. This, in turn, offers valuable insights into the fundamental physics governing these systems.
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spelling doaj-art-e4ccd055ad2e45838a0780d6530ab1542025-08-20T03:38:15ZengNature PortfolioScientific Reports2045-23222025-07-0115111210.1038/s41598-025-05220-9Hybrid critical line in the spin-1/2 XX chain with gamma interaction under transverse fieldsM. Abbasi0S. Mahdavifar1M. Motamedifar2Department of Physics, University of GuilanDepartment of Physics, University of GuilanFaculty of Physics, Shahid Bahonar University of KermanAbstract We investigate the spin-1/2 XX chain with uniform Gamma interaction under a transverse magnetic field. By exactly diagonalizing the Hamiltonian using the Fermionization technique, we rigorously analyze the energy spectrum, distinguishing between gapped and gapless domains at absolute zero. Additionally, we thoroughly examine various order parameters, including magnetization, staggered magnetization, chirality, and spin nematicity, which delineate the diverse phases within the ground state phase diagram, each characterized by its unique long-range order. Notably, we identify a hybrid critical line in the ground state phase diagram. This hybrid critical line is defined as a line where multiple types of phase transitions converge. At points along this line, the system exhibits behaviors characteristic of different types of critical points simultaneously. Understanding the magnetic properties under different field conditions can lead to the development of new magnetic materials and technologies. Our results provide a framework for experimentally manipulating magnetic fields, allowing researchers to control and observe changes in material properties. This, in turn, offers valuable insights into the fundamental physics governing these systems.https://doi.org/10.1038/s41598-025-05220-9
spellingShingle M. Abbasi
S. Mahdavifar
M. Motamedifar
Hybrid critical line in the spin-1/2 XX chain with gamma interaction under transverse fields
Scientific Reports
title Hybrid critical line in the spin-1/2 XX chain with gamma interaction under transverse fields
title_full Hybrid critical line in the spin-1/2 XX chain with gamma interaction under transverse fields
title_fullStr Hybrid critical line in the spin-1/2 XX chain with gamma interaction under transverse fields
title_full_unstemmed Hybrid critical line in the spin-1/2 XX chain with gamma interaction under transverse fields
title_short Hybrid critical line in the spin-1/2 XX chain with gamma interaction under transverse fields
title_sort hybrid critical line in the spin 1 2 xx chain with gamma interaction under transverse fields
url https://doi.org/10.1038/s41598-025-05220-9
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