Logarithmic negativity of the 1D antiferromagnetic spin-1 Heisenberg model with single-ion anisotropy

Year: 2024

Authors: Papoyan V.V., Gori G., Papoyan V.V Jr., Trombettoni A., Ananikian N.

Autors Affiliation: Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Russia; Dubna State Univ, Dubna, Russia; Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany; CNR IOM DEMOCRITOS Simulat Ctr, Via Bonomea 265, I-34136 Trieste, Italy; Joint Inst Nucl Res, Meshcheryakov Lab Informat Technol, Dubna 141980, Russia; Univ Trieste, Dept Phys, Str Costiera 11, I-34151 Trieste, Italy; CNR IOM DEMOCRITOS Simulat Ctr, I-34136 Trieste, Italy; Natl Sci Lab, Alikhanian Br 2, Yerevan 0036, Armenia; CANDLE Synchrotron Res Inst, Acharyan 31, Yerevan 0040, Armenia.

Abstract: We study the 1D antiferromagnetic spin -1 Heisenberg XXX model with external magnetic field B and single -ion anisotropy D on finite chains. We determine the nearest and non -nearest neighbor logarithmic entanglement LN. Our main result is the disappearance of LN both for nearest and non -nearest neighbor (next -nearest and next -next -nearest) sites at zero temperature and for low -temperature states. Such disappearance occurs at a critical value of B and D. The resulting phase diagram for the behavior of LN is discussed in the B- D plane, including a separating line – ending in a triple point – where the energy density is independent on the size. Finally, results for LN at finite temperature as a function of B and D are presented and commented.

Journal/Review: PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES

Volume: 158      Pages from: 115899-1  to: 115899-9

More Information: N.A. acknowledge the receipt of the grant in the frame of the research projects No. SCS 21AG-1C006 and No. SCS 23SC-CNR-1C006. N.A. and A.T. acknowledge support from the CNR/MESRA project ’’Statistical Physics of Classical and Quantum Non Local Hamiltonians: Phase Diagrams and Renormalization Group’’.
KeyWords: Heisenberg model; Quantum spin chains; Antiferromagnetism; Entanglement; Logarithmic negativity
DOI: 10.1016/j.physe.2024.115899