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We study the $S=1/2$ square-kagome lattice Heisenberg antiferromagnet with the trimarized modulation. In the trimerized limit, each trimer hosts the four-fold degenearte ground states characterized by the spin and chirality degrees of…

Strongly Correlated Electrons · Physics 2025-10-17 Tomonari Mizoguchi

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 present a unified account for the coupled single-hole- and spin-dynamics in the spin-gap phase of dimerized and frustrated spin-chains and two-leg spin ladders. Based on the strong dimer-limit of a one-dimensional $t_123$-$J_123$-model a…

Strongly Correlated Electrons · Physics 2009-10-31 Christoph Jurecka , Wolfram Brenig

We provide the phase diagram of a 2-parameter spin-1 chain that has a symmetry-protected topological (SPT) Haldane phase using computational algorithms along with tensor-network tools. We improve previous results, showing the existence of a…

Strongly Correlated Electrons · Physics 2025-02-19 Mohamad Mousa , Birgit Wehefritz-Kaufmann , Sabre Kais , Shawn Cui , Ralph Kaufmann

We analyze the possible existence of topological phases in two-legged spin ladders considering a staggered interaction in both chains. When the staggered interaction in one chain is shifted by one site with respect to the other chain, the…

Strongly Correlated Electrons · Physics 2020-02-18 Greta Ghelli , Giuseppe Magnifico , Cristian Degli Esposti Boschi , Elisa Ercolessi

We investigate the isotropic two-leg S=1/2 ladder with general bilinear and biquadratic exchange interactions between spins on neighboring rungs, and determine the Hamiltonians which have a matrix product wavefunction as exact ground state.…

Statistical Mechanics · Physics 2009-10-30 A. K. Kolezhuk , H. -J. Mikeska

We consider a chain of spinful fermions with nearest neighbor hopping in the presence of a $XY$ antiferromagnetic interaction. The $XY$ term is mapped onto a Kitaev chain at half-filling such that displays a bosonic zero mode topologically…

Quantum Physics · Physics 2021-05-11 Gianluca Francica

We present a protocol to implement a spin-1 chain in Rydberg systems using three Rydberg states close to a F\"orster resonance. In addition to dipole-dipole interactions, strong van der Waals interactions naturally appear due to the…

We investigate the quantum phases of a frustrated antiferromagnetic Heisenberg spin-1/2 model Hamiltonian on a Kagome-strip chain (KSC), a one-dimensional analogue of the Kagome lattice, and construct its phase diagram in an extended…

Strongly Correlated Electrons · Physics 2024-09-20 Sayan Ghosh , Rajiv R. P. Singh , Manoranjan Kumar

A ferrimagnetic spin model composed of $S=1/2$ spin-dimers and $S=5/2$ spin-chains is studied by combining the bond-operator representation (for $S=1/2$ spin-dimers) and Holstein-Primakoff transformation (for $S=5/2$ spins). A finite…

Strongly Correlated Electrons · Physics 2015-05-14 Bao Xu , Han-Ting Wang , Yupeng Wang

We investigate a specific limit of the one-dimensional non-Hermitian Hubbard Hamiltonian with complex interactions. In this framework, fermions with different spin quantum numbers are mapped onto two distinct spin species, resulting in two…

Statistical Mechanics · Physics 2024-12-30 Doru Sticlet , Cătălin Paşcu Moca , Balázs Dóra

We study the dynamical spin and nematic correlations in the bilinear-biquadratic spin-1 chain in the critical phase hosting deconfined spinons. We demonstrate how spinon interactions can be directly probed in the presence of a magnetic…

Strongly Correlated Electrons · Physics 2026-04-15 Yonatan Lin , Oleg A. Starykh , Anna Keselman

Topologically nontrivial Haldane phase is theoretically proposed to be realized in the 1/3-magnetization ($M$) plateau of spin-1/2 trimer systems. However, the spin excitation gap, typical characteristic of Haldane phase, is not yet…

Strongly Correlated Electrons · Physics 2024-07-08 Y. Y. Han , B. C. Yu , Z. Du , L. S. Ling , L. Zhang , W. Tong , C. Y. Xi , J. L. Zhang , T. Shang , Li Pi , Long Ma

The Hubbard chain and spinless fermion chain are paradigms of strongly correlated systems, very well understood using Bethe ansatz, Density Matrix Renormalization Group (DMRG) and field theory/renormalization group (RG) methods. They have…

Strongly Correlated Electrons · Physics 2015-12-18 Armin Rahmani , Xiaoyu Zhu , Marcel Franz , Ian Affleck

The low-energy effective Hamiltonian of three coupled spin chains with periodic boundary conditions (spin tube) is expressed, in the limit of strong interchain coupling, in terms of XXZ chains coupled by biquadratic exchange interaction. A…

Strongly Correlated Electrons · Physics 2009-10-31 E. Orignac , R. Citro , N. Andrei

The interplay between the spin-orbit and Zeeman interactions acting on a spinful Su-Schrieffer-Heeger model is studied based on an InAs nanowire subjected to a periodic gate potential along the axial direction. It is shown that a nontrivial…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Zhi-Hai Liu , O. Entin-Wohlman , A. Aharony , J. Q. You , H. Q. Xu

We study critical phenomena of the SU(3) symmetric spin-1 chains when adding the SU(3) asymmetric term. To investigate such system, we numerically diagonalize the Dimer-Trimer (DT) model Hamiltonian around the SU(3) symmetric point, named…

Statistical Mechanics · Physics 2021-01-28 Tohru Mashiko , Shunji Moriya , Kiyohide Nomura

We study the spin S=1 antiferromagnetic Heisenberg model on the square lattice with, in addition to the nearest-neighbor interaction, a three-site interaction of the form (S_i S_j)*(S_j S_k) + h.c.. This interaction appears naturally in a…

Strongly Correlated Electrons · Physics 2015-06-16 F. Michaud , F. Mila

We study the ground state phase diagram of a two dimensional mixed-spin system of coupled alternating spin-1 and $1/2$ chains with a stripe supersolid phase. Utilizing different analytical and numerical approaches such as mean field…

Strongly Correlated Electrons · Physics 2018-05-22 F. Heydarinasab , J. Abouie

The physics of interacting integer-spin chains has been a topic of intense theoretical interest, particularly in the context of symmetry-protected topological phases. However, there has not been a controllable model system to study this…

Quantum Physics · Physics 2015-06-24 C. Senko , P. Richerme , J. Smith , A. Lee , I. Cohen , A. Retzker , C. Monroe