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Effect of next-nearest neighbor hopping on the single-particle excitations at finite temperature
by Harun Al Rashid and Dheeraj Kumar Singh
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Submission summary
| Authors (as registered SciPost users): | Dheeraj Kumar Singh |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202310_00028v3 (pdf) |
| Date submitted: | 2024-01-18 05:23 |
| Submitted by: | Singh, Dheeraj Kumar |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
In the half-filled one-orbital Hubbard model on a square lattice, we study the effect of next-nearest neighbor hopping on the single-particle spectral function at finite temperature using an exact-diagonalization + Monte-Carlo based approach to the simulation process. We find that the pseudogap-like dip, existing in the density of states in between the N\'{e}el temperature $T_N$ and a relatively higher temperature $T^*$, is accompanied with a significant asymmetry in the hole- and particle-excitation energy along the high-symmetry directions as well as along the normal-state Fermi surface. On moving from ($\pi/2, \pi/2$) toward $(\pi, 0)$ along the normal state Fermi surface, the hole-excitation energy increases, a behavior remarkably similar to what is observed in the $d$-wave state and pseudogap phase of high-$T_c$ cuprates, whereas the particle-excitation energy decreases. The quasiparticle peak height is the largest near ($\pi/2, \pi/2$) whereas it is the smallest near $(\pi, 0)$. These spectral features survive beyond $T_N$. The temperature window $T_N \lesssim T \lesssim T^*$ shrinks with an increase in the next-nearest neighbor hopping, which indicates that the next-nearest neighbor hopping may not be supportive to the pseudogap-like features.
List of changes
Followings are the list of changes made with respect to the previous version:
(i) Fig. 1 has been updated
(ii) The style of the manuscript has been changed to SciPost. The DOI has also been provided.
Current status:
Reports on this Submission
Anonymous Report 2 on 2024-2-1 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_202310_00028v3, delivered 2024-02-01, doi: 10.21468/SciPost.Report.8483
Report
In their responses, the authors addressed all the points raised by the reviewers, almost all of them satisfactorily. In the revised version, most of the points have been taken into account and lead to changes that have improved the manuscript.
Nevertheless, I would have liked to have seen a representation of the self-energy that would have made it possible to compare the nature of the approximations of the authors' technique with other approaches based on Green's functions. Similarly, I still feel that plotting the Fermi surfaces of the non-interacting and interacting systems for different values of t' would have improved readability and made reading Figures 6 and 7 easier.
Since the manuscript has been much improved, including the correction of some misleading passages, adding a discussion of the limitations of the technique and providing a more complete reference to existing techniques, I recommend the article for publication in SciPost Physics.
Anonymous Report 1 on 2024-1-30 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_202310_00028v3, delivered 2024-01-30, doi: 10.21468/SciPost.Report.8472
Report
After considering the revised version of the manuscript and the reply from the authors to the first round of report I can recommend the article for publication.
As I already discussed in my previous report, the manuscript provides interesting insights and hints that could be used in the future to further explore the role of nn hopping e.g. in doped systems, in the presence of other interacting channels and so on. The quality of the research is very high and the results of the analysis are discussed in a convincing way. Technical aspects of the computation are explicitly discussed highlighting the advantage of the procedure used and the approximations involved in the calculation.
The current version of the manuscript presents a more logic introduction and better explain some aspects of the results that were unclear in the previous version of the manuscript.