Quantum phase transition in skewed ladders: an entanglement entropy and fidelity study
arXiv:2205.15676 · doi:10.1140/epjb/s10051-022-00411-z
Abstract
Entanglement entropy (EE) of a state is a measure of correlation or entanglement between two parts of a composite system and it may show appreciable change when the ground state (GS) undergoes a qualitative change in a quantum phase transition (QPT). Therefore, the EE has been extensively used to characterise the QPT in various correlated Hamiltonians. Similarly fidelity also shows sharp changes at a QPT. We characterized the QPT of frustrated antiferromagnetic Heisenberg spin-1/2 systems on 3/4, 3/5 and 5/7 skewed ladders using the EE and fidelity analysis. It is noted that all the non-magnetic to magnetic QPT boundary in these systems can be accurately determined using the EE and fidelity, and the EE exhibits a discontinuous change, whereas fidelity shows a sharp dip at the transition points. It is also noted that in case of the degenerate GS, the unsymmetrized calculations show wild fluctuations in the EE and fidelity even without actual phase transition, however, this problem is resolved by calculating the EE and the fidelity in the lowest energy state of the symmetry subspaces, to which the degenerate states belong.
9 pages, 10 figures
References in corpus (13)
- Vector chiral and multipolar orders in the spin-1/2 frustrated ferromagnetic chain in magnetic field
- Emergent multipolar spin correlations in a fluctuating spiral - The frustrated ferromagnetic S=1/2 Heisenberg chain in a magnetic field
- Fidelity and Quantum phase transition for the Heisenberg chain with the next-nearest-neighbor interaction
- Valence Bond and von Neumann Entanglement Entropy in Heisenberg Ladders
- Tuning the bond order wave (BOW) phase of half-filled extended Hubbard models
- Bond-order wave phase, spin solitons and thermodynamics of a frustrated linear spin-1/2 Heisenberg antiferromagnet
- Quantum phases of frustrated 2-leg spin-1/2 ladders with skewed rungs
- Magnetic susceptibility of alkali-TCNQ salts and extended Hubbard models with bond order and charge density wave phases
- Quantum phases of dimerized and frustrated Heisenberg spin chains with s = 1/2, 1 and 3/2: an entanglement entropy and fidelity study
- Quantum phase transition by employing trace distance along with the density matrix renormalization group
- Boundary-induced spin density waves in linear Heisenberg antiferromagnetic spin chains with
- Quantum phases of spin-1 system on 3/4 and 3/5 skewed ladders
- Quantum phases of a frustrated spin-1 system: The 5/7 skewed ladder