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We investigate the magnetic excitations of the trimerized Heisenberg models with intra-trimer interaction $J_1$ and inter-trimer interaction $J_2$ on four different two-dimensional lattices using a combination of stochastic series expansion…

Strongly Correlated Electrons · Physics 2024-09-11 Yue-Yue Chang , Jun-Qing Cheng , Hui Shao , Dao-Xin Yao , Han-Qing Wu

We investigate a spin-1/2 antiferromagnetic chain with trimerized exchange couplings relevant to Na$_2$Cu$_3$Ge$_4$O$_{12}$. We show that the low-energy Hilbert space maps onto an effective Heisenberg chain of composite spin-1/2 trimer…

Strongly Correlated Electrons · Physics 2026-05-26 Snehasish Sen , Sudhansu S. Mandal

We investigate the excitation spectra of a spin-1/2 antiferromagnetic Heisenberg trimer spin chain by employing a combination of numerical and theoretical techniques. Utilizing the Krylov-space correction-vector method in density matrix…

Strongly Correlated Electrons · Physics 2025-01-17 Junli Li , Jun-Qing Cheng , Trinanjan Datta , Dao-Xin Yao

Motivated by recent advancements in theoretical and experimental studies of the high-energy excitations on an antiferromagnetic trimer chain, we numerically investigate the quantum phase transition and composite dynamics in this system by…

Strongly Correlated Electrons · Physics 2024-12-03 Jun-Qing Cheng , Zhi-Yao Ning , Han-Qing Wu , Dao-Xin Yao

The recent experimental realization of emergent quasi-particles, such as spinons, doublons, and quartons, in a spin-$1/2$ trimer chain has spurred new interest in low dimensional magnetic systems. In this study, we investigate the dynamical…

Strongly Correlated Electrons · Physics 2025-09-23 Manodip Routh , Anutosh Biswas , Manoranjan Kumar

Based on the mapping between $s=1/2$ spin operators and hard-core bosons, we extend the cluster perturbation theory to spin systems and study the whole excitation spectrum of the antiferromagnetic $J_{1}$-$J_{2}$ Heisenberg model on the…

Strongly Correlated Electrons · Physics 2018-10-17 Shun-Li Yu , Wei Wang , Zhao-Yang Dong , Zi-Jian Yao , Jian-Xin Li

Assemblies of interacting quantum particles often surprise us with properties that are difficult to predict. One of the simplest quantum many-body systems is the spin 1/2 Heisenberg antiferromagnetic chain, a linear array of interacting…

Strongly Correlated Electrons · Physics 2013-07-02 M. Mourigal , M. Enderle , A. Klöpperpieper , J. -S. Caux , A. Stunault , H. M. Rønnow

We study the spin-half Heisenberg chain with alternating nearest neighbor interactions $J_1(1+\delta)$ and $J_1(1-\delta)$ and a uniform second neighbor interaction $J_2=y (1-\delta)$ by series expansions around the limit of decoupled…

Strongly Correlated Electrons · Physics 2009-10-31 Rajiv R. P Singh , Zheng Weihong

Exact results for the dynamic dimer and trimer structure factors of the one-dimensional s=1/2 XX model in a transverse magnetic field ($\parallel z$) are presented and discussed in relation to known exact results for the dynamic spin…

Statistical Mechanics · Physics 2016-08-16 Oleg Derzhko , Taras Krokhmalskii , Joachim Stolze , Gerhard Müller

We study the elementary excitations and magnetization of a one-dimensional spin-1/2 XX chain comprising trimer-dimer units (the J1-J1-J2-J3-J2 topology) under a transverse magnetic field h. Using Green's function theory and the…

Strongly Correlated Electrons · Physics 2026-02-09 K. S. Chikara , A. K. Bera , A. Kumar , S. M. Yusuf

We treat the ground state, elementary excitations, and neutron scattering cross section for a system of trimers consisting of three tightly bound spins 1/2 on a distorted Kagom\'e lattice, subject to isotropic nearest neighbor (usually…

Strongly Correlated Electrons · Physics 2015-06-15 A. B. Harris , T. Yildirim

Understanding exotic forms of magnetism in quantum spin systems is an emergent topic of modern condensed matter physics. Quantum dynamics can be described by particle-like carriers of information, known-as quasiparticles that appear from…

Strongly Correlated Electrons · Physics 2022-11-29 A. K. Bera , S. M. Yusuf , S. K. Saha , M. Kumar , D. Voneshen , Y. Skourski , S. A. Zvyagin

The natural explanation of the excitation spectrum of the spin-1 antiferromagnetic Heisenberg chain is given from the viewpoint of the spin-1/2 ferromagnetic-antiferromagnetic alternating Heisenberg chain. The energy spectrum of the latter…

Condensed Matter · Physics 2009-10-22 Kazuo Hida

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…

Strongly Correlated Electrons · Physics 2022-04-26 R. R. Montenegro-Filho , E. J. P. Silva-Junior , M. D. Coutinho-Filho

The search for elementary excitations with fractional quantum numbers is a central challenge in modern condensed matter physics. We explore the possibility in a realistic model for several materials, the spin-1/2 spatially anisotropic…

Strongly Correlated Electrons · Physics 2009-03-23 Masanori Kohno , Oleg A. Starykh , Leon Balents

We obtain the solution of the Hamiltonian of an antiferromagnetically coupled spin-$1/2$ trimer chain in terms of three bands that host three different species of fermions. While the lowest two bands correspond to spin-$1/2$ fermions, the…

Strongly Correlated Electrons · Physics 2026-05-26 P. Srikanth Patnaik , Snehasish Sen , A. K. Bera , Sudhansu S. Mandal , Anushree Roy , S. M. Yusuf

We theoretically investigate the resonant inelastic X-ray scattering (RIXS) spectra in a quasi-1D chain of weakly coupled frustrated spin-1/2 trimers, as realized in Na$_{2}$Cu$_{3}$Ge$_{4}$O$_{12}$, with Cu $d^{9}$ 1/2 spins. We compute…

Strongly Correlated Electrons · Physics 2024-10-22 Prabhakar , Subhajyoti Pal , Umesh Kumar , Manoranjan Kumar , Anamitra Mukherjee

We investigate the dynamical quadrupole structure factor of a spin-1/2 $J_{1}$-$J_{2}$ Heisenberg chain with competing ferromagnetic $J_{1}$ and antiferromagnetic $J_{2}$ in a magnetic field by exploiting density-matrix renormalization…

Strongly Correlated Electrons · Physics 2018-06-06 Hiroaki Onishi

We use the Jordan-Wigner representation to study dynamic quantities for the spin-1/2 XX chain in a transverse magnetic field. We discuss in some detail the properties of the four-fermion excitation continuum which is probed by the dynamic…

Strongly Correlated Electrons · Physics 2016-08-16 O. Derzhko , T. Krokhmalskii , J. Stolze , G. Müller

We study low-energy excitations in antiferromagnetic Heisenberg chains with a staggered field which splits the spectrum into a longitudinal and a transverse branch. Bound states are found to exist inside the field induced gap in both…

Strongly Correlated Electrons · Physics 2011-02-19 Jizhong Lou , Changfeng Chen , Jize Zhao , Xiaoqun Wang , Tao Xiang , Zhaobin Su , Lu Yu
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