Yogendra, KB and Das, T and Baskaran, G (2023) Emergent glassiness in the disorder-free Kitaev model: Density matrix renormalization group study on a one-dimensional ladder setting. In: Physical Review B, 108 (16).
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Abstract
The complete phase diagram of the Kitaev model with a magnetic field remains elusive, as do the experimental results in the candidate material α-RuCl3. Here, we study the Kitaev model on a one-dimensional ladder setting within the density-matrix renormalization group method in the presence of a magnetic field at zero temperature. We find five distinct phases with increasing magnetic field, which are characterized by a homogeneous flux phase, the Z2 vortex gas, solid and emergent glass phase, and finally, a spin-polarized phase. The emergent glassiness is confirmed by calculating correlation functions showing quasi-long-range behavior and ground state fidelity, showing a plethora of energetically accessible orthogonal saddle points corresponding to different flux configurations. This glassy behavior seems to arise from the slow dynamics of the Z2 fluxes, which is a consequence of the local constraints present in the underlying Hilbert space. This phenomenon can also be explored in other spin-liquid systems where the corresponding low-energy excitations are similarly retarded due to constraints. © 2023 American Physical Society.
| Item Type: | Journal Article |
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| Publication: | Physical Review B |
| Publisher: | American Physical Society |
| Additional Information: | The copyright for this article belongs to authors. |
| Keywords: | Glass; Ground state; Orthogonal functions; Quantum theory; Statistical mechanics, Candidate materials; Density matrix renormalization group; Density matrix renormalization group methods; Flux phase; Group study; Kitaev model; Magnetic-field; Modeling density; One-dimensional; Zero temperatures, Magnetic fields |
| Department/Centre: | Division of Physical & Mathematical Sciences > Physics |
| Date Deposited: | 10 Dec 2024 19:42 |
| Last Modified: | 10 Dec 2024 19:42 |
| URI: | http://eprints.iisc.ac.in/id/eprint/85399 |
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