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Phase Transitions in the Spin‐1/2 Heisenberg Antiferromagnet on the Square Lattice.

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Title: Phase Transitions in the Spin‐1/2 Heisenberg Antiferromagnet on the Square Lattice.
Authors: Qiao, Jie1 (AUTHOR) qiaojie@qut.edu.cn, Zhang, Shu-Hao2 (AUTHOR), Qin, Jing-Bo1 (AUTHOR), Zhao, Xiao-Long1 (AUTHOR), Cheng, Qiang1 (AUTHOR), Nayak, Maheswar (AUTHOR) mnayak@rrcat.gov.in
Source: Advances in Condensed Matter Physics. 7/20/2026, Vol. 2026, p1-8. 8p.
Subjects: Phase transitions, Antiferromagnetism, Quantum spin models, Valence bonds
Abstract: The nature of the intermediate ground‐state phase in the spin‐1/2 frustrated square lattice model has long been debated. We investigate the phase diagram of this model using cluster density matrix embedding theory (CDMET). Two antiferromagnetic phases are directly identified from our analysis of the ground‐state wave function: the Néel antiferromagnetic phase for J2 ≤ 0.45 and the stripe antiferromagnetic phase for J2 ≥ 0.65. Although our analysis of the ground state finds no direct evidence of an internal phase transition within the intermediate phase, an examination of the first excited state reveals a continuous quantum phase transition therein, with a critical point at J2 = 0.55 that separates the intermediate phase into a plaquette valence bond solid (PVBS) and a (P + C) valence bond solid (VBS). [ABSTRACT FROM AUTHOR]
Copyright of Advances in Condensed Matter Physics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Phase Transitions in the Spin‐1/2 Heisenberg Antiferromagnet on the Square Lattice.
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  Data: <searchLink fieldCode="AR" term="%22Qiao%2C+Jie%22">Qiao, Jie</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> qiaojie@qut.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Zhang%2C+Shu-Hao%22">Zhang, Shu-Hao</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Qin%2C+Jing-Bo%22">Qin, Jing-Bo</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhao%2C+Xiao-Long%22">Zhao, Xiao-Long</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Cheng%2C+Qiang%22">Cheng, Qiang</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Nayak%2C+Maheswar%22">Nayak, Maheswar</searchLink> (AUTHOR)<i> mnayak@rrcat.gov.in</i>
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  Data: <searchLink fieldCode="JN" term="%22Advances+in+Condensed+Matter+Physics%22">Advances in Condensed Matter Physics</searchLink>. 7/20/2026, Vol. 2026, p1-8. 8p.
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  Data: <searchLink fieldCode="DE" term="%22Phase+transitions%22">Phase transitions</searchLink><br /><searchLink fieldCode="DE" term="%22Antiferromagnetism%22">Antiferromagnetism</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+spin+models%22">Quantum spin models</searchLink><br /><searchLink fieldCode="DE" term="%22Valence+bonds%22">Valence bonds</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The nature of the intermediate ground‐state phase in the spin‐1/2 frustrated square lattice model has long been debated. We investigate the phase diagram of this model using cluster density matrix embedding theory (CDMET). Two antiferromagnetic phases are directly identified from our analysis of the ground‐state wave function: the Néel antiferromagnetic phase for J2 ≤ 0.45 and the stripe antiferromagnetic phase for J2 ≥ 0.65. Although our analysis of the ground state finds no direct evidence of an internal phase transition within the intermediate phase, an examination of the first excited state reveals a continuous quantum phase transition therein, with a critical point at J2 = 0.55 that separates the intermediate phase into a plaquette valence bond solid (PVBS) and a (P + C) valence bond solid (VBS). [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Advances in Condensed Matter Physics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1155/acmp/7045522
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      – Code: eng
        Text: English
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      – SubjectFull: Antiferromagnetism
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      – SubjectFull: Quantum spin models
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      – SubjectFull: Valence bonds
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              Text: 7/20/2026
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