Modified strong-coupling treatment of a spin-
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 Heisenberg trimerized chain developed from the exactly solved Ising-Heisenberg diamond chain

Verkholyak, Taras; Strečka, Jozef

doi:10.1103/physrevb.103.184415

Cited by 10 publications

(1 citation statement)

References 40 publications

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“…We notice two typical exchange pathways arrangements for unfrustrated bipartite lattices, both in accord with the topological Lieb-Mattis theorem [8]. In the first case [9][10][11][12][13], the lattice can be divided into two groups with the same number of sites, and the ground state is a gapless singlet. In particular, the magnetic features of the compound Cu 3 (P 2 O 6 OH) 2 are investigated through this model [9,11,14].…”

supporting

confidence: 53%

Ground-state phase diagram and thermodynamics of coupled trimer chains

Montenegro-Filho,

Silva-Junior,

Coutinho-Filho

2022

Preprint

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The density matrix renormalization group and quantum Monte Carlo method are used to describe coupled trimer chains in a magnetic field h. The Hamiltonian contains exchange terms involving the intra-trimer coupling J1 (taken as the unit of energy) and the inter-trimer coupling J2, plus the Zeeman interaction for a magnetic field h along the z direction. Results for the magnetization per trimer m are calculated in regimes of positive and negative values of the ratio J = J2/J1, from which the rich field-induced ground state phase diagram h versus J is derived, with the presence of Luttinger liquid, the 1/3 -plateau (m = 1/2), and the one of fully polarized magnetization (m = 3/2). Also, the zero-field Lanczos calculation of spin-wave dispersion from the 1/3 -plateau for S z = 1 is shown at the previous regimes of J values. In addition, we also report on the decay of correlation functions of trimers along open chains, as well as the average two-magnon distribution. The ground state is ferrimagnetic for 0 < J ≤ 1, and is a singlet for −1 ≤ J < 0. In the singlet phase, the spin correlation functions along the legs present an antiferromagnetic powerlaw decay, similar to the spin-1/2 linear chain, thus suggesting that the ground state is made of three coupled antiferromagnetically oriented chains. In the singlet phase, the dimensionless thermal magnetic susceptibility per site normalized by 1/|J| gets closer to 1/π 2 as the temperature T → 0. For the ferrimagnetic phase, we fit the susceptibility to the experimental data for the compound Pb3Cu3(PO4)4 and estimate the model exchange couplings: J1 = 74.8K and J = 0.4. These values imply a range of energies for the magnon excitations that are in accord with the data from neutron scattering experiments on Pb3Cu3(PO4)4 for two excitation modes. The 1/3 -plateau closes only at 1/|J| = 0 with J < 0. I. INTRODUCTIONChains of spin-1/2 sites exhibit a rich quantum behavior depending on the way the spins are coupled [1]. The spin-1/2 antiferromagnetic linear chain [2] is a paradigmatic model with a gapless spectrum that unveiled, for example, collective excitations such as the spinons and holons [1]. On the other hand, the physics of shortrange valence bond states manifests in the singlet gapped ground state of a spin-1/2 two-leg ladder [3-5], which has two spins in each unit cell. For ladders with n legs, the ground state is gapped, with a finite correlation length, for n even; while it is gapless, with a power-law decay of correlation functions, for n odd [6,7].

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supporting

confidence: 53%

Ground-state phase diagram and thermodynamics of coupled trimer chains

Montenegro-Filho,

Silva-Junior,

Coutinho-Filho

2022

Preprint

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Negativity and quantum phase transition in a mixed spin-(12, 52,
Zheng
¹
,
Zhou²
2022
Physica A: Statistical Mechanics and its Applications
3
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0
0
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Fractional and composite excitations of antiferromagnetic quantum spin trimer chains

Cheng

Xiong

et al. 2022

npj Quantum Mater.

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Using quantum Monte Carlo, exact diagonalization, and perturbation theory, we study the spectrum of the S = 1/2 antiferromagnetic Heisenberg trimer chain by varying the ratio g = J2/J1 of the intertrimer and intratrimer coupling strengths. The doublet ground states of trimers form effective interacting S = 1/2 degrees of freedom described by a Heisenberg chain. Therefore, the conventional two-spinon continuum of width ∝ J1 when g = 1 evolves into to a similar continuum of width ∝ J2 when g → 0. The intermediate-energy and high-energy modes are termed doublons and quartons which fractionalize with increasing g to form the conventional spinon continuum. In particular, at g ≈ 0.716, the gap between the low-energy spinon branch and the high-energy band with mixed doublons, quartons, and spinons closes. These features should be observable in inelastic neutron scattering experiments if a quasi-one-dimensional quantum magnet with the linear trimer structure and J2 < J1 can be identified. Our results may open a window for exploring the high-energy fractional excitations.

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Modified strong-coupling treatment of a spin- 12 Heisenberg trimerized chain developed from the exactly solved Ising-Heisenberg diamond chain

Cited by 10 publications

References 40 publications

Ground-state phase diagram and thermodynamics of coupled trimer chains

Ground-state phase diagram and thermodynamics of coupled trimer chains

Negativity and quantum phase transition in a mixed spin-(12, 52,
Zheng
¹
,
Zhou²
2022
Physica A: Statistical Mechanics and its Applications
3
0
0
0
View full text Add to dashboard Cite

Fractional and composite excitations of antiferromagnetic quantum spin trimer chains

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Modified strong-coupling treatment of a spin- 12 Heisenberg trimerized chain developed from the exactly solved Ising-Heisenberg diamond chain

Cited by 10 publications

References 40 publications

Ground-state phase diagram and thermodynamics of coupled trimer chains

Ground-state phase diagram and thermodynamics of coupled trimer chains

Negativity and quantum phase transition in a mixed spin-(12, 52, Zheng1, Zhou2 2022Physica A: Statistical Mechanics and its Applications3000View full textAdd to dashboardCite

Fractional and composite excitations of antiferromagnetic quantum spin trimer chains

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Product

Resources

About

Negativity and quantum phase transition in a mixed spin-(12, 52,
Zheng
¹
,
Zhou²
2022
Physica A: Statistical Mechanics and its Applications
3
0
0
0
View full text Add to dashboard Cite