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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-12-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/25/12/1665 |
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| author | Maria Eugenia S. Nunes Francisco Welington S. Lima Joao A. Plascak |
| author_facet | Maria Eugenia S. Nunes Francisco Welington S. Lima Joao A. Plascak |
| author_sort | Maria Eugenia S. Nunes |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-08T20:48:16Z |
| format | Article |
| id | doaj.art-ede201071b4248c8b058179caea61cd1 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-08T20:48:16Z |
| publishDate | 2023-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-ede201071b4248c8b058179caea61cd12023-12-22T14:07:33ZengMDPI AGEntropy1099-43002023-12-012512166510.3390/e25121665Ising Ladder with Four-Spin Plaquette Interaction in a Transverse Magnetic FieldMaria Eugenia S. Nunes0Francisco Welington S. Lima1Joao A. Plascak2Departamento de Física, Universidade Federal de Ouro Preto, Campus Universitário Morro do Cruzeiro, ICEB, Ouro Preto 35400-000, MG, BrazilDietrich Stauffer Computational Physics Lab, Departamento de Física, Universidade Federal do Piauí, Teresina 64049-550, PI, BrazilDepartamento de Física, Centro de Ciências Exatas e da Natureza CCEN, Universidade Federal da Paraíba, Cidade Universitária, João Pessoa 58051-970, PB, BrazilThe 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.https://www.mdpi.com/1099-4300/25/12/1665quantum spin modelsphase diagramexact diagonalizationladder structure |
| spellingShingle | Maria Eugenia S. Nunes Francisco Welington S. Lima Joao A. Plascak Ising Ladder with Four-Spin Plaquette Interaction in a Transverse Magnetic Field Entropy quantum spin models phase diagram exact diagonalization ladder structure |
| title | Ising Ladder with Four-Spin Plaquette Interaction in a Transverse Magnetic Field |
| title_full | Ising Ladder with Four-Spin Plaquette Interaction in a Transverse Magnetic Field |
| title_fullStr | Ising Ladder with Four-Spin Plaquette Interaction in a Transverse Magnetic Field |
| title_full_unstemmed | Ising Ladder with Four-Spin Plaquette Interaction in a Transverse Magnetic Field |
| title_short | Ising Ladder with Four-Spin Plaquette Interaction in a Transverse Magnetic Field |
| title_sort | ising ladder with four spin plaquette interaction in a transverse magnetic field |
| topic | quantum spin models phase diagram exact diagonalization ladder structure |
| url | https://www.mdpi.com/1099-4300/25/12/1665 |
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