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.
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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The data that support the findings of this study are available from the corresponding author upon reasonable request.]
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Acknowledgements
S. Ramasesha acknowledges the Indian National Science Academy and DST-SERB for supporting this work. Manoranjan Kumar acknowledges the SERB for financial support through Project File No. CRG/2020/000754.
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The project was conceived by S. Ramasesha and Manoranjan Kumar. Sambunath Das and Dayasindhu Dey have performed the numerical calculations. All the authors were involved in designing the calculations and interpretation of results. The work was jointly written up by all the authors.
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Das, S., Dey, D., Ramasesha, S. et al. Quantum phase transition in skewed ladders: an entanglement entropy and fidelity study. Eur. Phys. J. B 95, 147 (2022). https://doi.org/10.1140/epjb/s10051-022-00411-z
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DOI: https://doi.org/10.1140/epjb/s10051-022-00411-z