Enhancement of magnetization plateaus in low-dimensional spin systems
Abstract
We study the low-energy properties and, in particular, the magnetization process of a spin-1/2 Heisenberg J₁−J₂ sawtooth and frustrated chain (also known as a zigzag ladder) with a spatially modulated g factor. We treat the problem both analytically and numerically while keeping the J₂/J₁ ratio generic. Numerically, we use complete and Lanczos diagonalization as well as the infinite time-evolving block decimation method. Analytically, we employ (non-)Abelian bosonization. Additionally, for the sawtooth chain, we provide an analytical description in terms of flat bands and localized magnons. By considering a specific pattern for the g-factor modulation for both models, we show that a small inhomogeneity significantly enhances a magnetization plateau at half saturation. For the magnetization of the frustrated chain, we show the destruction of one-third of the full saturation plateau in favor of the creation of a plateau at half saturation. For large values of the inhomogeneity parameter, the existence of an additional plateau at zero magnetization is possible. Here and at higher magnetic fields, the system is locked in the half-saturation plateau, never reaching full saturation.
Additional Information
© 2020 American Physical Society. (Received 20 February 2020; accepted 4 June 2020; published 18 June 2020) We are thankful to Leonie Heinze for useful discussions, Xenophon Zotos for his comments on the sine-Gordon model, and Stefan Süllow for motivating this work. Work of W.B. has been supported in part by the DFG through Project No. A02 of SFB 1143 (Project No. 247310070), by Nds. QUANOMET, and by the National Science Foundation under Grant No. NSF PHY-1748958. C.P. has received funding from the European Union's Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreement No. 839004. W.B. also acknowledges the kind hospitality of the PSM, Dresden.Attached Files
Published - PhysRevB.101.235143.pdf
Submitted - 2002.07190.pdf
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Additional details
- Eprint ID
- 103956
- Resolver ID
- CaltechAUTHORS:20200622-104138145
- 247310070
- Deutsche Forschungsgemeinschaft (DFG)
- PHY-1748958
- NSF
- 839004
- Marie Curie Fellowship
- Created
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2020-06-23Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field