Ground state fidelity in bond-alternative Ising chains with Dzyaloshinskii–Moriya interactions

2011/05/31 by Bo Li, Sam Young Cho, Honglei Wang +2 · 11 citations
Chemistry · Physics and Astronomy · #Algorithm #Bond #Computer science #Condensed matter physics #Economics #Fidelity #Ground state #Ising model #Molecular spectroscopy and chirality #Physics #Quantum many-body systems #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #State (computer science) #Statistical physics #Telecommunications #Theoretical physics #cond-mat.str-el

paper · pdf · doi:10.1088/1751-8113/44/39/392002

published in Journal of Physics A Mathematical and Theoretical 44(39), 392002 (Institute of Physics) · 6 pages, 4 figures

openalex publication_date 2011/09/06 · arxiv created 2011/09/22 · arxiv updated 2011/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A systematic analysis is performed for quantum phase transitions in a bond-alternative one-dimensional Ising model with a Dzyaloshinskii–Moriya (DM) interaction by using the fidelity of ground state wavefunctions based on the infinite matrix product states algorithm. For an antiferromagnetic phase, the fidelity per lattice site exhibits a bifurcation, which shows spontaneous symmetry breaking in the system. A critical DM interaction is inversely proportional to an alternating exchange coupling strength for a quantum phase transition. Further, a finite-entanglement scaling of von Neumann entropy with respect to truncation dimensions gives a central charge c ≃ 0.5 at the critical point.

Citations

• Density Matrix Renormalization Group and Periodic Boundary Conditions: A Quantum Information Perspective
• Efficient Simulation of One-Dimensional Quantum Many-Body Systems
• Metamagnetic Phase Transition in the 1D Ising Plus Dzyaloshinskii–Moriya Model
• Ground State Fidelity from Tensor Network Representations
• Alternating-spin ladders
• Fractal decomposition of exponential operators with applications to many-body theories and Monte Carlo simulations
• Magnetization plateaus, Haldane-like gap, string order, and hidden symmetry in a spin-12tetrameric Heisenberg antiferromagnetic chain
• A thermodynamic theory of “weak” ferromagnetism of antiferromagnetics
• Ground state of a Heisenberg chain with next-nearest-neighbor bond alternation
• Phase diagram and entanglement of the Ising model with Dzyaloshinskii-Moriya interaction
• Scaling of entanglement support for matrix product states
• Entanglement in many-body systems
• Anisotropic Superexchange Interaction and Weak Ferromagnetism