Quantum phase transitions of a generalized compass chain with staggered Dzyaloshinskii–Moriya interaction

Wu, Qing-Qiu; Ni, Weihai; You, Wen-Long

doi:10.1088/1361-648x/aa6e6d

Cited by 4 publications

(5 citation statements)

References 46 publications

(61 reference statements)

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“…[39], while the quantum compass model with the staggered DM interaction has been considered recently in Ref. [18].…”

Section: Model and Exact Solutionmentioning

confidence: 99%

“…[16,17]. The link between DM-terms and the quantum phase transitions of a generalized compass chain with staggered Dzyaloshinskii-Moriya interaction was also considered recently 18 .…”

Section: Introductionmentioning

confidence: 99%

“…However, by virtue of its complexity the model (1.2) allows only numerical treatment. Nevertheless, the exact solutions of the simplified spin models demonstrating the MEE due to KNB mechanism are very important as they can shed light on the general universal properties of the magnetoelectrics and offer a unique opportunity to figure out their general features analytically [12][13][14][15][16][17][18] . In one of the previous works the integrable model of the S = 1/2 XXZ chain with DMinteraction has been considered as a model of the linear spin-chain with the KNB mechanism 12 .…”

Section: Introductionmentioning

confidence: 99%

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Spin-1/2 XY chain magnetoelectric: Effect of zigzag geometry

2018

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A spin-1/2 XY chain model of magnetoelectric on a zigzag chain is considered rigorously. The magnetoelectric coupling is described within the Katsura-Nagaosa-Balatsky mechanism. In the zigzag geometry it leads to the staggered Dzyaloshinskii-Moriya interaction. By non-uniform spinrotations the model is reduced to a dimerized XY chain and solved exactly using the Jordan-Wigner transformation. We analyze the ground-state phase diagram of the model, zero and finite temperature magnetoelectric effect, obtain the magnetization and polarization curves versus magnetic and electric fields, as well as the parameters of anisotropic dielectric and magnetoelectric response. It is also shown that the electric field may enhance the magnetocaloric effect in the model.

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“…[39], while the quantum compass model with the staggered DM interaction has been considered recently in Ref. [18].…”

Section: Model and Exact Solutionmentioning

confidence: 99%

“…[16,17]. The link between DM-terms and the quantum phase transitions of a generalized compass chain with staggered Dzyaloshinskii-Moriya interaction was also considered recently 18 .…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Spin-1/2 XY chain magnetoelectric: Effect of zigzag geometry

2018

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“…Such form of exchange can also emerge from the truncated dipolar exchange [15,16]. Furthermore, for α = −1, the antisymmetric form reduces to the DMI, which was first proposed by Dzyaloshinsky and Moriya [17,18] and had attracted continued interest [19][20][21][22][23][24][25]. The DMI has been proved to be a key factor in explaining the magnetic properties in LiMnPO 4 [26], Ni 3 V 2 O 8 [27], MnSi [28,29] and CoFeB [30], etc.…”

Section: Model and Phase Diagrammentioning

confidence: 95%

“…The concurrence for such a two-qubit state ρ ij [Eq. (23)] can be simplified into C = 2 max {0, ς 1 , ς 2 }, where…”

Section: Quantum Entanglement and Coherencementioning

confidence: 99%

Lifshitz phase transitions in one-dimensional Gamma model

Liu,

Yi,

Sun

et al. 2020

Preprint

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In this paper, we study quantum phase transitions and magnetic properties of a one-dimensional spin-1/2 Gamma model, which describes the off-diagonal exchange interactions between edge-shared octahedra with strong spin-orbit couplings along the sawtooth chain. The competing exchange interactions between the nearest neighbors and the second neighbors stabilize semimetallic ground state in terms of spinless fermions, and give rise to a rich phase diagram, which consists of three gapless phases. We find distinct phases are characterized by the number of Weyl nodes in the momentum space, and such changes in the topology of the Fermi surface without symmetry breaking produce a variety of Lifshitz transitions, in which the Weyl nodes situating at k = π interchange from type I to type II. A coexistence of type-I and type-II Weyl nodes is found in phase II. The information measures including concurrence, entanglement entropy and relative entropy can effectively signal the second-order transitions. The results indicate that the Gamma model can act as an exactly solvable model to describe Lifshitz phase transitions in correlated electron systems.

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Emergent phases in a compass chain with multisite interactions

You

Zhang

et al. 2017

Phys. Rev. B

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We study a dimerised spin chain with biaxial magnetic interacting ions in the presence of an externally induced three-site interactions out of equilibrium. In the general case, the three-site interactions play a role in renormalizing the effective uniform magnetic field. We find that the existence of zero-energy Majorana modes is intricately related to the sign of Pfaffian of the Bogoliubov-de Gennes Hamiltonian and the relevant Z2 topological invariant. In contrast, we show that an exotic spin liquid phase can emerge in the compass limit through a Berezinskii-Kosterlitz-Thouless (BKT) quantum phase transition. Such a BKT transition is characterized by a large dynamic exponent z = 4, and the spin-liquid phase is robust under a uniform magnetic field. We find the relative entropy and the quantum discord can signal the BKT transitions. We also uncover a few differences in deriving the correlation functions for the systems with broken reflection symmetry.

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Quantum phase transitions of a generalized compass chain with staggered Dzyaloshinskii–Moriya interaction

Cited by 4 publications

References 46 publications

Spin-1/2 XY chain magnetoelectric: Effect of zigzag geometry

Spin-1/2 XY chain magnetoelectric: Effect of zigzag geometry

Lifshitz phase transitions in one-dimensional Gamma model

Emergent phases in a compass chain with multisite interactions

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