Influence of Dzyaloshinskii–Moriya interaction on measurement-induced disturbance in a mixed-spin Heisenberg XXZ model with an inhomogeneous magnetic field

Unconventional Thermal and Magnetic-Field-Driven Changes of a Bipartite Entanglement of a Mixed Spin-(1/2,S) Heisenberg Dimer with an Uniaxial Single-Ion Anisotropy

“…Unfortunately, the enlargement of a threshold temperature is simultaneously accompanied by the reduction of the strength of mutual quantum correlations. In order to minimize the reduction of the degree of entanglement, many of subsequent studies were concentrated on an extended mixedspin Heisenberg chain involving the Dzyaloshinskii-Moriya interaction (DMI) [34][35][36][37], the effect of nonuniform magnetic field [37][38][39][40][41][42][43], long-range interaction [44] and uniaxial single-ion anisotropy [45,46], respectively. It was verified for the mixed spin-(1/2,1), spin-(1/2,3/2) and spin-(1/2,5/2) Heisenberg chains that the inhomogeneity of the external magnetic field can be suitable tuning parameter for enhancing the thermal entanglement in a high-temperature region.…”

Ground State, Magnetization Process and Bipartite Quantum Entanglement of a Spin-1/2 Ising–Heisenberg Model on Planar Lattices of Interconnected Trigonal Bipyramids

“…In quantum theory, quantum entanglement provides a novel platform for exploring long-range quantum correlations, quantum phase transitions as well as exotic properties of many-body systems [ 8 , 9 , 10 , 11 ]. The low-dimensional Heisenberg spin models, involving quantum fluctuations between spins, play a significant role in this regard because they have been proven to be ideal candidates for a rigorous investigation of the entangled states under the influence of the external stimuli such as magnetic field (homogeneous or inhomogeneous) and/or temperature [ 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 ]. Moreover, many analytical and numerical calculations have been performed to examine the tuning of the quantum and thermal bipartite entanglement by varying the exchange anisotropy parameter [ 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 ], the uniaxial single-ion anisotropy [ 16 , 17 ], the Dzyaloshinskii–Moriya interaction (spin-orbit coupling) [ 18 , 19 , 20 , 26 , 27 ], the next-nearest-neighbour interaction [ 13 , 14 , 29 ], as well as by introducing impurities into the system [ 28 , 30 ].…”

Ground State, Magnetization Process and Bipartite Quantum Entanglement of a Spin-1/2 Ising-Heisenberg Model on Planar Lattices of Interconnected Trigonal Bipyramids

“…In quantum theory, quantum entanglement provides a novel platform for exploring long-range quantum correlations, quantum phase transitions as well as exotic properties of many-body systems [8][9][10][11]. The low-dimensional Heisenberg spin models, involving quantum fluctuations between spins, play a significant role in this regard because they have been proven to be ideal candidates for a rigorous investigation of the entangled states under the influence of the external stimuli such as magnetic field (homogeneous or inhomogeneous) and/or temperature [12][13][14][15][16][17][18][19][20][21][22][23][24]. Moreover, many analytical and numerical calculations have been performed to examine the tuning of the quantum and thermal bipartite entanglement by varying the exchange anisotropy parameter [19][20][21][22][23][24][25][26][27][28], the uniaxial single-ion anisotropy [16,17], the Dzyaloshinskii-Moriya interaction (spin-orbit coupling) [18-20, 26, 27], the next-nearestneighbour interaction [13,14,29], as well as by introducing impurities into the system [28,30].…”