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A theorem on extensive ground state entropy, spin liquidity and some related models
by Sumiran Pujari
Submission summary
| Authors (as registered SciPost users): | Sumiran Pujari |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202502_00016v2 (pdf) |
| Date submitted: | May 15, 2025, 9:16 a.m. |
| Submitted by: | Pujari, Sumiran |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
An exact mechanism is written down to guarantee extensive residual ground state entropy and spin liquidity in spin-1/2 lattice models with bond-dependent couplings. It is based on the presence of extensively large and mutually non-commuting (``\guillemotleft anticommuting\guillemotright'') sets of local conserved quantities with a gauge-like character. This mutual algebra is like the algebra of quantum spin-1/2 degrees of freedom however arising in the structure of \emph{local conserved charges} whose support is not restricted to a single lattice site. The general theorem is first pedagogically illustrated through a variant of the familiar one-dimensional quantum Ising model featuring such an \guillemotleft anticommuting\guillemotright~structure. This leads to classical spin liquidity co-existing with quantum Ising order. The majority of the paper is then devoted to applications in higher dimensions with more general \guillemotleft anticommuting\guillemotright~structures which voids spin or magnetic ordering altogether. Proofs of the resultant quantum spin liquidity are given through an analysis of static and dynamic $n$-point spin correlators relying solely on the \guillemotleft anticommuting\guillemotright~algebraic structure of the constructed models. It is not evident if they admit exact solutions using known techniques. The precise nature of these quantum spin liquids is thus an open question including the existence of a quasiparticle description for these models. We compare and contrast them with other well-known quantum spin liquids.
Author comments upon resubmission
Thank you for your assessment that the paper is suitable for Scipost Physics Core journal. I have done the minor revisions as requested and they are highlighted in blue for ease of reference. I believe the paper is ready for publication now and I hope you concur with this.
Best wishes,
Sumiran Pujari
List of changes
1) Discussion has been made to situate the one-dimensional lattice geometries in the context of existing material systems.
2) A separate point 5 has been mentioned now in Sec. 3.3 to indicate a list of numerical investigations that can be performed to understand these quantum spin liquids in more detail.
Current status:
Reports on this Submission
Report
The manuscript can be accepted for publication only after taking into consideration also those last three points or at least the rebuttal against them should be raised.
Recommendation
Ask for minor revision
Report
The core issue of physical motivation is still unresolved. The manuscript lacks a clear discussion of what types of interactions or conditions might give rise to the proposed Hamiltonians in actual materials. The recent additions do not sufficiently engage with this point.
I also note that the author did not respond to the referee report. Even if there is disagreement, it would be appropriate to explain why certain suggestions were not implemented.
The speculative section remains too extensive. Although it has been renamed, the substance is largely unchanged. I continue to believe it should be significantly reduced or removed, as it distracts from the main results.
Recommendation:
I recommend minor revision to address the remaining issues and improve clarity.
Recommendation
Ask for minor revision
Anonymous on 2025-05-17 [id 5491]
There are some formatting issues that would need to be addressed at the latest during production when (if) this manuscript should be accepted, in particular: 1- Equation numbers do not have the standard parentheses ("(", ")"), but rather these are used for citations instead of the standard square brackets ("[", "]"). 2- Footnotes [41,46,53,69,75,76,79] are mixed with the references. 3- Refs. [56,57] lack the mandatory DOIs. 4- "August" is misspelled in Ref. [47].