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Gapless and ordered phases in spin-1/2 Kitaev-XX-Gamma chain |
| Zebin Zhuang(庄泽彬)1 and Wang Yang(杨望)2,† |
1 Department of Physics, Imperial College London, London SW7 2BZ, UK;
2 School of Physics, Nankai University, Tianjin 300071, China |
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Abstract We study the spin-1/2 Kitaev chain with additional XX and symmetric off-diagonal Gamma interactions. By combining the Jordan-Wigner transformation with density matrix renormalization group (DMRG) numerical simulations, we obtain the exact solution of the model and map out the phase diagram containing six distinct phases. The four gapped phases display ferromagnetic and antiferromagnetic magnetic orders along the $(1,1,0)$- and $(1,-1,0)$-spin directions, whereas in the gapless phases, the low-energy spectrum consists of two branches of helical Majorana fermions with unequal velocities. The transition lines separating different phases include deconfined quantum critical lines with dynamical critical exponent $z = 1$ and quadratic critical lines with $z = 2$. Our work reveals the rich interplay among symmetry, magnetic order, and quantum criticality in the Kitaev-XX-Gamma chain.
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Received: 26 September 2025
Revised: 01 December 2025
Accepted manuscript online: 23 December 2025
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PACS:
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75.10.Pq
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(Spin chain models)
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| Fund: This work is supported by the National Natural Science Foundation of China (Grant No. 12474476) and the startup funding at Nankai University. |
Corresponding Authors:
Wang Yang
E-mail: wyang@nankai.edu.cn
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Cite this article:
Zebin Zhuang(庄泽彬) and Wang Yang(杨望) Gapless and ordered phases in spin-1/2 Kitaev-XX-Gamma chain 2026 Chin. Phys. B 35 037503
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