Quantum Critical Lines in the Ground State Phase Diagram of Spin-1/2 Frustrated Transverse-Field Ising Chains

This paper focuses on the ground state phase diagram of a 1D spin-1/2 quantum Ising model with competing first and second nearest neighbour interactions known as the axial next nearest neighbour Ising model in the presence of a transverse magnetic field. Here, using quantum correlations, both numerically and analytically, some evidence is provided to clarify the identification of the ground state phase diagram. Local quantum correlations play a crucial role in detecting the critical lines either revealed or hidden by symmetry-breaking. A non-symmetry-breaking disorder transition line can be identified by the first derivative of both entanglement of formation and quantum discord between nearest neighbour spins. In addition, the quantum correlations between the second neighbour spins can also be used to reveal Kosterlitz-Thouless phase transition when their interaction strength grows and becomes closer to the first nearest neighbour one. The results obtained using the Jordan-Wigner transformation confirm the accuracy of the numerical case.

Automated summary

This paper investigates the ground state phase diagram of a 1D spin-1/2 quantum Ising model, highlighting the crucial role of quantum correlations in detecting critical lines, especially in detecting symmetry-breaking. The study reveals that non-symmetry-breaking disorder transition lines and Kosterlitz-Thouless phase transitions can be identified through quantum correlations.