Journal
PHYSICAL REVIEW B
Volume 108, Issue 16, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.108.165118
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In this study, the Kitaev model on a one-dimensional ladder setting was investigated using the density-matrix renormalization group method in the presence of a magnetic field at zero temperature. Five distinct phases were observed with increasing magnetic field, and the emergence of glassy behavior was confirmed.
The complete phase diagram of the Kitaev model with a magnetic field remains elusive, as do the experimental results in the candidate material alpha-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.
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