TY - JOUR A1 - Fumani, F. Khastehdel A1 - Nemati, Somayyeh A1 - Mahdavifar, Saeed T1 - Quantum critical lines in the ground state phase diagram of spin-1/2 frustrated transverse-field ising chains JF - Annalen der Physik N2 - 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. KW - axial next nearest neighbour Ising chains KW - quantum correlations KW - quantum KW - phase transitions Y1 - 2020 U6 - https://doi.org/10.1002/andp.202000384 SN - 0003-3804 SN - 1521-3889 VL - 533 IS - 2 PB - Wiley-VCH CY - Weinheim ER -