547 citations · 2.8k across the 92 of their papers we have counts for
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Topological analysis of the complex SSH model using the quantum geometric tensor
Eve Cheng, Murray T. Batchelor, Danny Cocks
This paper presents two methods for topological analysis of the complex Hermitian Su-Schrieffer-Heeger (SSH) model using the quantum geometric tensor: Berry phase and topological d…
Entanglement entropy for scale-invariant states: universal finite-size scaling
Huan-Qiang Zhou, Qian-Qian Shi, Ian P. McCulloch +1
A universal finite system-size scaling analysis of the entanglement entropy is presented for highly degenerate ground states arising from spontaneous symmetry breaking with type-B…
Goldstone modes and the golden spiral in the ferromagnetic spin-1 biquadratic model
Huan-Qiang Zhou, Qian-Qian Shi, Ian P. McCulloch +1
Ferromagnetic ground states have often been overlooked in comparison to seemingly more interesting antiferromagnetic ground states. However, both the physical and mathematical stru…
Symmetry-protected trivial phases and quantum phase transitions in an anisotropic antiferromagnetic spin-1 biquadratic model
Xi-Hao Chen, Ian McCulloch, Murray T. Batchelor +1
The ground state phase diagram is obtained for an antiferromagnetic spin-1 anisotropic biquadratic model. With the help of symmetry and duality transformations, three symmetry-prot…
Asymptotic correlation functions and FFLO signature for the one-dimensional attractive Hubbard model
Song Cheng, Yu-Zhu Jiang, Yi-Cong Yu +2
We study the long-distance asymptotic behavior of various correlation functions for the one-dimensional (1D) attractive Hubbard model in a partially polarized phase through the Bet…
Universal thermodynamics of the one-dimensional attractive Hubbard model
Song Cheng, Yi-Song Yu, Murray T Batchelor +1
The one-dimensional (1D) Hubbard model, describing electrons on a lattice with an on-site repulsive interaction, provides a paradigm for the physics of quantum many-body phenomena.…
FFLO correlation and free fluids in the one-dimensional attractive Hubbard model
Song Cheng, Yi-Cong Yu, Murray T Batchelor +1
In this Rapid Communication we show that low energy macroscopic properties of the one-dimensional (1D) attractive Hubbard model exhibit two fluids of bound pairs and of unpaired fe…
Groundstate fidelity phase diagram of the fully anisotropic two-leg spin-1/2 XXZ ladder
Sheng-Hao Li, Qian-Qian Shi, Murray T. Batchelor +1
The fully anisotropic two-leg spin-1/2 ladder model is studied in terms of an algorithm based on the tensor network representation of quantum many-body states as an adaptatio…
Finite-temperature fidelity and von Neumann entropy in the honeycomb spin lattice with quantum Ising interaction
Yan-Wei Dai, Qian-Qian Shi, Sam Young Cho +2
The finite temperature phase diagram is obtained for an infinite honeycomb lattice with spin- Ising interaction by using thermal-state fidelity and von Neumann entropy bas…
Geometric entanglement and quantum phase transitions in two-dimensional quantum lattice models
Qian-Qian Shi, Hong-Lei Wang, Sheng-Hao Li +3
Geometric entanglement(GE), as a measure of multipartite entanglement, has been investigated as a universal tool to detect phase transitions in quantum many-body lattice models. We…
The antiferromagnetic cross-coupled spin ladder: quantum fidelity and tensor networks approach
Xi-Hao Chen, Sam Young Cho, Murray T. Batchelor +1
We investigate the phase diagram of the cross-coupled Heisenberg spin ladder with antiferromagnetic couplings. For this model there have been conflicting results for the existence…
Degenerate groundstates and multiple bifurcations in a two-dimensional q-state quantum Potts model
Yan-Wei Dai, Sam Young Cho, Murray T. Batchelor +1
We numerically investigate the two-dimensional q-state quantum Potts model on the infinite square lattice by using the infinite projected entangled-pair state (iPEPS) algorithm. We…
Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases
X W Guan, M T Batchelor, C Lee +1
We investigate pairing and quantum phase transitions in the one-dimensional two-component Fermi atomic gas in an external field. The phase diagram, critical fields, magnetization a…
Exact results for the 1D interacting Fermi gas with arbitrary polarization
M. T. Batchelor, M. Bortz, X. W. Guan +1
We investigate the 1D interacting two-component Fermi gas with arbitrary polarization. Exact results for the ground state energy, quasimomentum distribution functions, spin velocit…
Spin excitations in the integrable open quantum group invariant supersymmetric t-J model
Y. -K. Zhou, M. T. Batchelor
The integrable quantum group -invariant supersymmetric t-J model with open boundaries is studied via an analytic treatment of the Bethe equations. An feature is…