<p>We investigate ground-state quantum correlations in the spin-1/2 XX chain with anisotropic four-spin interaction (AFSI) using exact fermionization techniques. The system exhibits three quantum critical lines separating topological phases with winding numbers <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\nu = \pm 1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>ν</mi> <mo>=</mo> <mo>±</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\nu = \pm 3\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>ν</mi> <mo>=</mo> <mo>±</mo> <mn>3</mn> </mrow> </math></EquationSource> </InlineEquation>. To explore its critical and topological properties, we analyze concurrence and quantum discord (QD) between nearest-neighbor spins. Our results show that while concurrence fails to detect all critical lines—especially in phases with higher winding numbers—QD reliably identifies every quantum phase transition through cusps or discontinuities in its first derivative. Moreover, QD reaches higher values in phases with lower winding numbers, indicating that the structure and localization of quantum correlations are shaped by topological order. These findings establish QD as a sensitive probe of both quantum criticality and topology in many-body systems, offering insights for correlation-based diagnostics in quantum information science and highlighting the potential of topological spin chains in future quantum technologies.</p>

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Quantum discord as a probe of topological transitions in the spin-1/2 XX chain with four-spin interaction

  • S. Katibzadah,
  • S. Mahdavifar,
  • B. Haghdoust,
  • F. Khastehdel Fumani,
  • M. R. Soltani

摘要

We investigate ground-state quantum correlations in the spin-1/2 XX chain with anisotropic four-spin interaction (AFSI) using exact fermionization techniques. The system exhibits three quantum critical lines separating topological phases with winding numbers \(\nu = \pm 1\) ν = ± 1 and \(\nu = \pm 3\) ν = ± 3 . To explore its critical and topological properties, we analyze concurrence and quantum discord (QD) between nearest-neighbor spins. Our results show that while concurrence fails to detect all critical lines—especially in phases with higher winding numbers—QD reliably identifies every quantum phase transition through cusps or discontinuities in its first derivative. Moreover, QD reaches higher values in phases with lower winding numbers, indicating that the structure and localization of quantum correlations are shaped by topological order. These findings establish QD as a sensitive probe of both quantum criticality and topology in many-body systems, offering insights for correlation-based diagnostics in quantum information science and highlighting the potential of topological spin chains in future quantum technologies.