Topological quantum phase transition in a mixed-spin Heisenberg tetramer chain with alternating spin-1/2 and spin-5/2 dimers

Veríssimo, Luan M.; Pereira, Maria S. S.; Strečka, Jozef; Lyra, M. L.

doi:10.1016/j.jmmm.2023.170595

Cited by 3 publications

(3 citation statements)

References 51 publications

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“…It has been evidenced that the correlation length follows close to the quantum critical points of a power-law dependence with the critical exponent ν = 2/3 when assuming the appropriate logarithmic correction. This critical behavior is the same as a gap-closing topological phase transition found in the antiferromagnetic spin-1/2 Heisenberg bond alternating chain [13], the 2D Ashkin-Teller model at its bifurcation point [15], as well as, other mixed spin-(1/2, 1/2, S, S) Heisenberg tetramer chains with a single topological phase transition [25,26], whereby all aforementioned topological phase transitions belong to the SU(2) Wess-Zumino-Witten universality class. This feature signals a possible universality of zero-field gap-closing phase transitions of the quantum Heisenberg spin chains, irrespective of spin sizes and topology of the involved quantum phases.…”

Section: Discussionsupporting

confidence: 70%

“…For S 1 = 1/2 the model presents a single zerofield transition between a topologically trivial state without unpaired edge spins and a topologically non-trivial state with unpaired edge spins at a special value of the interaction ratio [13]. This transition belongs to the SU(2) Wess-Zumino-Witten universality class also governing the critical behavior of the 2D Ashkin-Teller model at the bifurcation point [24][25][26]. In the Heisenberg tetramer chains with S 2 > S 1 > 1/2 multiple topological phase transitions have been reported [27][28][29].…”

Section: Introductionmentioning

confidence: 94%

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Ground-state phase diagram and universality of sequential topological valence-bond-solid quantum transitions in a mixed tetramer chain

Veríssimo,

Pereira,

Strečka

et al. 2024

J. Phys.: Condens. Matter

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The ground-state ordering of a quantum mixed-spin Heisenberg tetramer chain composed of an alternate sequence of $s=1$ and $S=3/2$ dimers is studied in detail as a function of two considered exchange interactions ascribed to similar and dissimilar spin pairs. At zero magnetic field, the ferrimagnetic mixed spin-(1, 1, 3/2, 3/2) Heisenberg tetramer chain displays, depending on a mutual interplay between two considered exchange interactions, three distinct gapped valence-bond-solid phases separated by gap-closing quantum critical points. Using density-matrix renormalization group calculations we construct the full ground-state phase diagram as a function of the interaction ratio and magnetic field, which exhibits besides three gapped valence-bond-solid phases special Kosterlitz-Thouless and topological quantum critical points. A tangential finite-size scaling analysis is employed to obtain precise estimates of the zero-field valence-bond-solid transitions and unveil their common logarithmic correction to a power-law scaling of the correlation length.

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Section: Discussionsupporting

confidence: 70%

Section: Introductionmentioning

confidence: 94%

Ground-state phase diagram and universality of sequential topological valence-bond-solid quantum transitions in a mixed tetramer chain

Veríssimo,

Pereira,

Strečka

et al. 2024

J. Phys.: Condens. Matter

Self Cite

View full text Add to dashboard Cite

show abstract

“…On a lattice, a dimer joins two neighbouring sites satisfying a hard imposed constraint that every site belongs to only one dimer [54]. Quantum dimer models allowed the study of a variety of physical phenomena [55][56][57][58], and it was found that they could be potentially simulated using cold atoms [59]. Quantum dimers have also potential applications in quantum computation, where it was found that they can be used to implement topologically stable qubits using quantum Josephson junction arrays [60].…”

Section: Introductionmentioning

confidence: 99%

Quantum correlations and coherence in a mixed spin- (12,1) Heisenberg dimer under intrinsic decoherence

Oumennana,

Mansour

2024

Phys. Scr.

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This research delves into the dynamical behavior of quantum correlations and coherence within a mixed Heisenberg dimer system under the intrinsic decoherence. Our approach involves the application of logarithmic negativity, local quantum uncertainty, and the ℓ 1 norm-based coherence as quantifiers for entanglement, skew information correlations, and quantum coherence in this qubit-qutrit model. Our primary objective is to explore the impact of various factors on the dynamics of quantum correlations and quantum coherence. These factors encompass the initial density matrix and its mixing parameter, the intrinsic decoherence rate (γ), the external magnetic field, as well as intrinsic system parameters, notably the XXZ and uniaxial single-ion anisotropies. Our results demonstrate that the introduction of intrinsic decoherence (ID) significantly erodes quantum resources. Particularly, for high values of the ID rate (γ), excessive damping occurs, leading to the absence of oscillations or a rapid decay of quantum resources, ultimately stabilizing in steady states. Furthermore, the presence of an external homogeneous magnetic field further diminishes quantum resources within the system. However, despite the degradation induced by the combined influence of intrinsic decoherence and high external magnetic field intensities, the judicious selection of the initial density matrix and precise adjustment of the uniaxial single-ion anisotropy enable the preservation of quantum resources within the mixed spin-(1/2, 1) Heisenberg dimer.

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Existence of two distinct valence bond solid states in the dimerized frustrated ferromagnetic J1−J1′−J2 chain

Wardyn,

Nishimoto,

Agrapidis

2023

Phys. Rev. B

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Topological quantum phase transition in a mixed-spin Heisenberg tetramer chain with alternating spin-1/2 and spin-5/2 dimers

Cited by 3 publications

References 51 publications

Ground-state phase diagram and universality of sequential topological valence-bond-solid quantum transitions in a mixed tetramer chain

Ground-state phase diagram and universality of sequential topological valence-bond-solid quantum transitions in a mixed tetramer chain

Quantum correlations and coherence in a mixed spin- (12,1) Heisenberg dimer under intrinsic decoherence

Existence of two distinct valence bond solid states in the dimerized frustrated ferromagnetic J1−J1′−J2 chain

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