Superconductivity near two-dimensional Van Hove singularities: a determinant quantum Monte Carlo study
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918447013691392 |
|---|---|
| author | Romare, Gustav Shaffer, Daniel Levchenko, Alex Huang, Edwin Esterlis, Ilya |
| author_facet | Romare, Gustav Shaffer, Daniel Levchenko, Alex Huang, Edwin Esterlis, Ilya |
| contents | The superconducting transition temperature $T_c$ of the two-dimensional attractive Hubbard model is computed in the vicinity of both ordinary (logarithmic) and higher-order (power-law) Van Hove singularities using determinant quantum Monte Carlo simulations. For interaction strengths $|U| \lesssim W/3$, where $W$ is the electronic bandwidth, $T_c$ is enhanced in the neighborhood of the Van Hove point, albeit more weakly than expected from weak-coupling BCS theory. Enhancing the Van Hove singularity from logarithmic to power-law yields only a minor additional enhancement of $T_c$. For $|U| \gtrsim W/3$, the maximum $T_c$ shifts away from the Van Hove point and instead occurs at a density unrelated to any features in the non-interacting density of states, consistent with a strong-coupling interpretation. We find that the maximal $T_c$ in the model is achieved at intermediate $U$ and at a density away from the Van Hove point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_13161 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Superconductivity near two-dimensional Van Hove singularities: a determinant quantum Monte Carlo study Romare, Gustav Shaffer, Daniel Levchenko, Alex Huang, Edwin Esterlis, Ilya Strongly Correlated Electrons Superconductivity The superconducting transition temperature $T_c$ of the two-dimensional attractive Hubbard model is computed in the vicinity of both ordinary (logarithmic) and higher-order (power-law) Van Hove singularities using determinant quantum Monte Carlo simulations. For interaction strengths $|U| \lesssim W/3$, where $W$ is the electronic bandwidth, $T_c$ is enhanced in the neighborhood of the Van Hove point, albeit more weakly than expected from weak-coupling BCS theory. Enhancing the Van Hove singularity from logarithmic to power-law yields only a minor additional enhancement of $T_c$. For $|U| \gtrsim W/3$, the maximum $T_c$ shifts away from the Van Hove point and instead occurs at a density unrelated to any features in the non-interacting density of states, consistent with a strong-coupling interpretation. We find that the maximal $T_c$ in the model is achieved at intermediate $U$ and at a density away from the Van Hove point. |
| title | Superconductivity near two-dimensional Van Hove singularities: a determinant quantum Monte Carlo study |
| topic | Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2604.13161 |