6 citations · 9 across the 9 of their papers we have counts for
9 papers
Exact Matching-Polynomial Solution of the Periodic Baxter-Fendley Clock Chain
Yuguan Li, D. C. Liu, Murray T. Batchelor
The periodic non-Hermitian Baxter-Fendley clock chain has lacked a complete finite-size spectral solution, whereas its open-chain counterpart admits a solution in terms of in…
Exact Solution for Non-Hermitian Free Fermions: A Case Study of the XY Chain
Yuguan Li, D. C. Liu, Murray T. Batchelor
We consider the non-Hermitian XY spin chain with open boundary conditions when the anisotropy parameter is extended to complex values. By analyzing the quasi-Hamiltonian matrix, we…
Green parafermions as emergent flat-band excitations in condensed matter
Huan-Qiang Zhou, Ian P. McCulloch, Murray T. Batchelor
Green parafermions, originally introduced by Green and extended by Greenberg and Messiah through trilinear and relative trilinear commutation relations beyond Bose-Fermi statistics…
Spontaneous symmetry breaking with type-B Goldstone modes in the SO() ferromagnetic model: an entanglement perspective
Qian-Qian Shi, Huan-Qiang Zhou, Murray T. Batchelor +1
Spontaneous symmetry breaking with type-B Goldstone modes is investigated in the SO() ferromagnetic model. A set of orthonormal basis states in the ground state subspace are…
Characterizing phase transitions and criticality in non-Hermitian extensions of the XY model
D. C. Liu, Murray T. Batchelor
In this work we study non-Hermitian extensions of the paradigmatic spin-1/2 XY chain in a magnetic field. Using the mapping of the model to free fermion form, we provide analytical…
Entanglement entropy for a type of scale-invariant states in two spatial dimensions and beyond: universal finite-size scaling
Huan-Qiang Zhou, Qian-Qian Shi, Ian P. McCulloch +1
A generic scheme is proposed to investigate the entanglement entropy for a type of scale-invariant states, valid for orthonormal basis states in the ground state subspace of quantu…
Entanglement and logarithmic spirals in a quantum spin-1 many-body system with competing dimer and trimer interactions
Huan-Qiang Zhou, Qian-Qian Shi, Ian P. McCulloch +1
Spontaneous symmetry breaking (SSB) with type-B Goldstone modes is investigated in the macroscopically degenerate phase for a quantum spin-1 many-body system with competing dimer a…
Type-B Goldstone modes and a logarithmic spiral in the staggered ferromagnetic spin-orbital model
Qian-Qian Shi, Huan-Qiang Zhou, Ian P. McCulloch +1
It is found that the staggered ferromagnetic spin-orbital model accommodates highly degenerate ground states arising from spontaneous symmetry breaking with type-B Gold…
Extracting the number of type-B Goldstone modes and the dynamical critical exponent for a type of scale-invariant states
Huan-Qiang Zhou, Yan-Wei Dai, Qian-Qian Shi +2
A generic scheme is proposed to perform a finite-entanglement scaling analysis for scale-invariant states, which appear to be highly degenerate ground states arising from spontaneo…