Quantum phase transition in the Yukawa-SYK model
We study the quantum phase transition upon varying the fermionic density ν in a solvable model with random Yukawa interactions between N bosons and M fermions, dubbed the Yukawa-SYK model. We show that there are two distinct phases in the model: an incompressible state with gapped excitations and an...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.033084 |
| _version_ | 1827286124484100096 |
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| author | Yuxuan Wang Andrey V. Chubukov |
| author_facet | Yuxuan Wang Andrey V. Chubukov |
| author_sort | Yuxuan Wang |
| collection | DOAJ |
| description | We study the quantum phase transition upon varying the fermionic density ν in a solvable model with random Yukawa interactions between N bosons and M fermions, dubbed the Yukawa-SYK model. We show that there are two distinct phases in the model: an incompressible state with gapped excitations and an exotic quantum-critical, non-Fermi liquid state with exponents varying with ν. We show analytically and numerically that the quantum phase transition between these two states is first-order, as for some range of ν the NFL state has a negative compressibility. In the limit N/M→∞, the first-order transition gets weaker and asymptotically becomes second-order, with an exotic quantum-critical behavior. We show that fermions and bosons display highly unconventional spectral behavior in the transition region. |
| first_indexed | 2024-04-24T10:25:02Z |
| format | Article |
| id | doaj.art-9643c2f237dd4dffa835d8546dc12f7a |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:25:02Z |
| publishDate | 2020-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-9643c2f237dd4dffa835d8546dc12f7a2024-04-12T16:57:16ZengAmerican Physical SocietyPhysical Review Research2643-15642020-07-012303308410.1103/PhysRevResearch.2.033084Quantum phase transition in the Yukawa-SYK modelYuxuan WangAndrey V. ChubukovWe study the quantum phase transition upon varying the fermionic density ν in a solvable model with random Yukawa interactions between N bosons and M fermions, dubbed the Yukawa-SYK model. We show that there are two distinct phases in the model: an incompressible state with gapped excitations and an exotic quantum-critical, non-Fermi liquid state with exponents varying with ν. We show analytically and numerically that the quantum phase transition between these two states is first-order, as for some range of ν the NFL state has a negative compressibility. In the limit N/M→∞, the first-order transition gets weaker and asymptotically becomes second-order, with an exotic quantum-critical behavior. We show that fermions and bosons display highly unconventional spectral behavior in the transition region.http://doi.org/10.1103/PhysRevResearch.2.033084 |
| spellingShingle | Yuxuan Wang Andrey V. Chubukov Quantum phase transition in the Yukawa-SYK model Physical Review Research |
| title | Quantum phase transition in the Yukawa-SYK model |
| title_full | Quantum phase transition in the Yukawa-SYK model |
| title_fullStr | Quantum phase transition in the Yukawa-SYK model |
| title_full_unstemmed | Quantum phase transition in the Yukawa-SYK model |
| title_short | Quantum phase transition in the Yukawa-SYK model |
| title_sort | quantum phase transition in the yukawa syk model |
| url | http://doi.org/10.1103/PhysRevResearch.2.033084 |
| work_keys_str_mv | AT yuxuanwang quantumphasetransitionintheyukawasykmodel AT andreyvchubukov quantumphasetransitionintheyukawasykmodel |