Quantum Fisher information in the XXZ model with Dzyaloshinskii–Moriya interaction

Cheng

2016

Sci Rep

We investigate the quantum Fisher information and quantum phase transitions of an XY spin chain with staggered Dzyaloshinskii-Moriya interaction using the quantum renormalization-group method. The quantum Fisher information, its first-derivatives, and the finite-size scaling behaviors are rigorously calculated respectively. The singularity of the derivatives at the phase transition point as a function of lattice size is carefully discussed and it is revealed that the scaling exponent for quantum Fisher information at the critical point can be used to describe the correlation length of this model, addressing the substantial role of staggered Dzyaloshinskii-Moriya interaction in modulating quantum phase transitions.

Section: Resultsmentioning

confidence: 99%

mentioning

confidence: 97%

Renormalization-group approach to quantum Fisher information in an XY model with staggered Dzyaloshinskii-Moriya interaction

Cheng

2016

Sci Rep

“…25 Quantum ground states of the Heisenberg spin chains ensue and/or break down at quantum phase transitions, which may be however very different in character. 3,[26][27][28][29] For instance, the intermediate 3/7-plateau of the mixed spin-(1/2,5/2,1/2) Heisenberg branched chain terminates at the Kosterlitz-Thouless quantum critical point. 28 In the present paper we will examine the ground-state phase diagram and magnetization process of the related spin-1/2 Ising-Heisenberg and Heisenberg branched chains, whose magnetic structure is inspired by the heterobimetallic coordination polymer [(Tp) 2 Fe 2 (CN) 6 (OCH 3 )(bap)Cu 2 (CH 3 OH)•2CH 3 OH.H 2 O] (Tp=tris(pyrazolyl)hydroborate, bapH = 1,3-bis(amino)-2-propanol) 30 to be further abbreviated as Fe 2 Cu 2 , which incorporates the highly anisotropic trivalent Fe 3+ cations and the almost isotropic divalent Cu 2+ cations (see Fig.…”

Section: Introductionmentioning

confidence: 99%

Breakdown of intermediate one-half magnetization plateau of spin-1/2 Ising-Heisenberg and Heisenberg branched chains at triple and Kosterlitz-Thouless critical points

2019

The spin-1/2 Ising-Heisenberg branched chain composed of regularly alternating Ising spins and Heisenberg dimers involving an additional side branching is rigorously solved in a magnetic field by the transfer-matrix approach. The ground-state phase diagram, the magnetization process and the concurrence measuring a degree of bipartite entanglement within the Heisenberg dimers are examined in detail. Three different ground states were found depending on a mutual interplay between the magnetic field and two different coupling constants: the modulated quantum antiferromagnetic phase, the quantum ferrimagnetic phase and the classical ferromagnetic phase. Two former quantum ground states are manifested in zero-temperature magnetization curves as intermediate plateaus at zero and one-half of the saturation magnetization, whereas the one-half plateau disappears at a triple point induced by a strong enough ferromagnetic Ising coupling. The ground-state phase diagram and zero-temperature magnetization curves of the analogous spin-1/2 Heisenberg branched chain were investigated using DMRG calculations. The latter fully quantum Heisenberg model involves, besides two gapful phases manifested as zero and one-half magnetization plateaus, gapless quantum spin-liquid phase. The intermediate one-half plateau of the spin-1/2 Heisenberg branched chain vanishes at Kosterlitz-Thouless quantum critical point between gapful and gapless quantum ground states unlike the triple point of the spin-1/2 Ising-Heisenberg branched chain.

“…The p is the period of the ground state. Magnetization plateaus have attracted considerable attention [3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27] in the past decades. Among them, the existence of magnetization plateau in big spin (S ≥1) chains with single-ion anisotropy is an interesting issue.…”

Section: Introductionmentioning

confidence: 99%

Phase diagram and magnetization structures of spin-32 bond-alternating Ising chains with single-ion anisotropy

Solid State Communications

Dou

2016

By the infinite time-evolving block decimation (iTEBD) algorithm, the magnetization process of the spin-3 2 bondalternating Ising chain with single-ion anisotropy (D) is investigated. Magnetization plateaus including detailed magnetization structures of three different cases are uncovered, and three rich ground-state phase diagrams are explicitly determined. Especially, for the uniform antiferromagnetic case, a phase transition line at D=J, which divides the M z =0 (M z = 1 2) plateau into two phases, are detected by the magnetization structure and the ground-state energy, and a updated phase diagram is proposed. Such a transition line was not recognized by the average magnetization previously. A same transition line (D=J) is also detected in the phase diagram of the antiferromagnetic-ferromagnetic alternating case. Magnetization plateaus are found to be easily induced for the classical Ising systems without quantum fluctuations, and the single-ion anisotropy plays a key role in the formation of M z = 1 2 and 1 plateaus in the present model.