The DOI matches its Crossref record; 25 of the 25 references it cites were found in a registry or an index.
Preroughening transitions in crystal surfaces and valence-bond phases in quantum spin chains
Abstract
We show that disordered flat phases in crystal surfaces are equivalent to valence-bond-type phases in integer and half-integer spin quantum chains. In the quantum spin representation the disordered flat phase represents a fluid-type phase with long-range antiferromagnetic spin order. This order is stabilized dynamically by the hopping of the particles and short-range spin-exchange interactions. The mass of N\'eel solitons is finite. Numerical finite-size-scaling results confirm this. We identify the order parameter of the valence-bond phase. The Haldane conjecture suggests a fundamental difference between half-integer and integer antiferromagnetic Heisenberg spin chains. We find that disordered flat phases are realized in both cases, have exactly the same type of long-range antiferromagnetic spin order, and are stabilized by exactly the same mechanism. They differ only in the mathematical formulation of broken symmetry in the spin representation. We suggest experimental methods of observing disordered flat phases in crystal surfaces.
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Cites
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Partition function of the Eight-Vertex lattice model
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Effective-Field-Theory Model for the Fractional Quantum Hall Effect
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Critical theory of quantum spin chains
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Off-diagonal long-range order, oblique confinement, and the fractional quantum Hall effect
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Amico, L., Fazio, R., Osterloh, A., & Vedral, V. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.517 · Cited by 3,745
Entanglement spectrum of a topological phase in one dimension
Pollmann, F., Turner, A. M., Berg, E., & Oshikawa, M. (2010) · Physical Review B · doi:10.1103/physrevb.81.064439 · Cited by 1,341
Thermodynamic limit of density matrix renormalization.
Östlund, S., & Rommer, S. (1995) · Physical Review Letters · doi:10.1103/physrevlett.75.3537 · Cited by 1,077
Programmable Quantum Simulations of Spin Systems with Trapped Ions
Monroe, C., Campbell, W. C., Duan, L. M., Gong, Z. X., Gorshkov, A. V., Hess, P., Islam, R., Kim, K., Linke, N., Pagano, G., et al. (2019) · arXiv · doi:10.48550/arxiv.1912.07845 · Cited by 806
FIDELITY APPROACH TO QUANTUM PHASE TRANSITIONS
GU, S.-J. (2010) · International Journal of Modern Physics B · doi:10.1142/s0217979210056335 · Cited by 663
Metadata
- Authors
- den Nijs, M., & Rommelse, K.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1989-09-01
- Volume
- 40
- Issue
- 7
- Pages
- 4709-4734
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2008017776
- Cited by
- 936
- References
- 25
- FWCI
- 6.78
- Type
- journal article
- Language
- en
- Open access
- closed
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- den Nijs, M., & Rommelse, K. (1989). Preroughening transitions in crystal surfaces and valence-bond phases in quantum spin chains. Physical Review B. https://doi.org/10.1103/physrevb.40.4709
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
