Quantum phase transition and critical behavior between the gapless topological phases
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913413096013824 |
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| author | Zhang, Hao-Long Li, Han-Ze Yang, Sheng Yu, Xue-Jia |
| author_facet | Zhang, Hao-Long Li, Han-Ze Yang, Sheng Yu, Xue-Jia |
| contents | The phase transition between gapped topological phases represents a class of unconventional criticality beyond the Landau paradigm. However, recent research has shifted attention to topological phases without a bulk gap, where the phase transitions between them are still elusive. In this work, based on large-scale density matrix renormalization group techniques, we investigate the critical behaviors of the extended quantum XXZ model obtained by the Kennedy-Tasaki transformation. Using fidelity susceptibility as a diagnostic, we obtain a complete phase diagram, which includes both topological nontrivial and trivial gapless phases. Furthermore, as the XXZ-type anisotropy parameter $Δ$ varies, both the critical points $h_c$ and correlation length exponent $ν$ remain the same as in the $Δ=0$ case, characterized by $c=3/2$ (Ising + free boson) conformal field theory. Our results indicate that fidelity susceptibility can effectively detect and reveal a stable unconventional critical line between the topologically distinct gapless phases for general $Δ$. This work serves as a valuable reference for further research on phase transitions within the gapless topological phase of matter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10576 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum phase transition and critical behavior between the gapless topological phases Zhang, Hao-Long Li, Han-Ze Yang, Sheng Yu, Xue-Jia Strongly Correlated Electrons Statistical Mechanics The phase transition between gapped topological phases represents a class of unconventional criticality beyond the Landau paradigm. However, recent research has shifted attention to topological phases without a bulk gap, where the phase transitions between them are still elusive. In this work, based on large-scale density matrix renormalization group techniques, we investigate the critical behaviors of the extended quantum XXZ model obtained by the Kennedy-Tasaki transformation. Using fidelity susceptibility as a diagnostic, we obtain a complete phase diagram, which includes both topological nontrivial and trivial gapless phases. Furthermore, as the XXZ-type anisotropy parameter $Δ$ varies, both the critical points $h_c$ and correlation length exponent $ν$ remain the same as in the $Δ=0$ case, characterized by $c=3/2$ (Ising + free boson) conformal field theory. Our results indicate that fidelity susceptibility can effectively detect and reveal a stable unconventional critical line between the topologically distinct gapless phases for general $Δ$. This work serves as a valuable reference for further research on phase transitions within the gapless topological phase of matter. |
| title | Quantum phase transition and critical behavior between the gapless topological phases |
| topic | Strongly Correlated Electrons Statistical Mechanics |
| url | https://arxiv.org/abs/2404.10576 |