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The promotion of collinear classical spin configurations as well as the enhanced tendency towards nearest-neighbor clustering of the quantum spins are typical features of the frustrating isotropic three-body exchange interactions in…

Strongly Correlated Electrons · Physics 2016-05-16 N. B. Ivanov , S. I. Petrova , J. Schnack

Using the density matrix renormalization group technique, we study the ground state phase diagram and other low-energy properties of an isotropic antiferromagnetic spin-half chain with both dimerization and frustration, i.e., an alternation…

Condensed Matter · Physics 2009-10-22 R. Chitra , Swapan K. Pati , H. R. Krishnamurthy , D. Sen , S. Ramasesha

We study the bond-alternating Heisenberg model using the finite-size density-matrix renormalization group (DMRG) technique and analytical arguments based on the matrix product state, where we pay particular attention to the…

Strongly Correlated Electrons · Physics 2017-01-04 Shohei Miyakoshi , Satoshi Nishimoto , Yukinori Ohta

The S=1/2 Heisenberg model is considered on bilayer and single-layer square lattices with couplings J1, J2, and with each spin belonging to one J2-coupled dimer. A transition from a Neel to disordered ground state occurs at a critical value…

Strongly Correlated Electrons · Physics 2007-07-28 Anders W. Sandvik

We study the ground-state phase diagram of the spin-$1/2$ antiferromagnetic Heisenberg model on the square-kagome lattice using infinite projected entangled-pair states (iPEPS). By systematically varying the ratio of exchange couplings on…

Strongly Correlated Electrons · Physics 2026-04-07 Saeed S. Jahromi , Yasir Iqbal

The spin-1/2 Heisenberg octahedral chain with regularly alternating monomeric and square-plaquette sites is investigated using various analytical and numerical methods: variational technique, localized-magnon approach, exact diagonalization…

Statistical Mechanics · Physics 2017-06-21 Jozef Strecka , Johannes Richter , Oleg Derzhko , Taras Verkholyak , Katarina Karlova

The spin-$1/2$ $J_1$-$J_2$ Heisenberg model on the square lattice exhibits a debated intermediate phase between N\'eel antiferromagnetic and stripe ordered regimes, with competing theories proposing plaquette valence bond, nematic, and…

Strongly Correlated Electrons · Physics 2026-04-27 Brandon Yee , Wilson Collins , Maximilian Rutkowski

The critical behavior of a model with N-vector complex order parameter and three quartic coupling constants that describes phase transitions in unconventional superconductors, helical magnets, stacked triangular antiferromagnets, superfluid…

Statistical Mechanics · Physics 2009-10-31 S. A. Antonenko , A. I. Sokolov

We consider a family of SU(2)-symmetric Projected Entangled Paired States (PEPS) on the square lattice, defining colored-Resonating Valence Bond (RVB) states, to describe the quantum disordered phase of the $J_1-J_2$ frustrated Heisenberg…

Strongly Correlated Electrons · Physics 2019-10-02 Didier Poilblanc , Matthieu Mambrini , Sylvain Capponi

We study the ground-state properties of weakly frustrated Heisenberg ferrimagnetic chains with nearest and next-nearest neighbor antiferromagnetic exchange interactions and two types of alternating sublattice spins S_1 > S_2, using 1/S…

Strongly Correlated Electrons · Physics 2009-10-31 N. B. Ivanov , J. Richter , U. Schollwoeck

We apply a real-space block renormalization group approach to study the critical properties of the random transverse-field Ising spin chain with multispin interactions. First we recover the known properties of the traditional model with…

Disordered Systems and Neural Networks · Physics 2025-03-25 Ferenc Iglói , Yu-Cheng Lin

The phase transition between the valence-bond-solid (VBS) and nematic phases, the so-called deconfined criticality, was investigated for the quantum S=1-spin model on the spatially anisotropic triangular lattice with the biquadratic…

Statistical Mechanics · Physics 2015-06-11 Yoshihiro Nishiyama

The low energy properties of the spin-1/2 random Heisenberg chain with ferromagnetic and antiferromagnetic interactions are studied by means of the density matrix renormalization group (DMRG) and real space renormalization group (RSRG)…

Statistical Mechanics · Physics 2009-10-28 Kazuo Hida

We investigate the spin dynamics of a 1D spin-1/2 Heisenberg tetramer chain. Employing a combination of Density Matrix Renormalization Group, quantum renormalization group, and perturbation theory techniques, we compute the energy levels…

Strongly Correlated Electrons · Physics 2026-05-08 Junli Li , Jun-Qing Cheng , Trinanjan Datta , Dao-Xin Yao

We present a detailed functional renormalization group analysis of spin-1/2 dipolar Heisenberg model on square lattice. This model is similar to the well known $J_1$-$J_2$ model and describes the pseudospin degrees of freedom of polar…

Quantum Gases · Physics 2018-06-08 Ahmet Keles , Erhai Zhao

Heisenberg-type spin-chain materials have been extensively studied over the years, yet not much is known about their behavior in the presence of disorder. Starting from BaCu$_2$Si$_2$O$_7$, a typical spin-1/2 chain system, we investigate a…

Strongly Correlated Electrons · Physics 2023-10-24 T. Shiroka , F. Eggenschwiler , H. -R. Ott , J. Mesot

We present numerical evidence for the emergence of an extended valence bond solid (VBS) phase at $T=0$ in the kagome $S=1/2$ Heisenberg antiferromagnet with ferromagnetic further-neighbor interactions. The VBS is located at the boundary…

Strongly Correlated Electrons · Physics 2020-08-05 Alexander Wietek , Andreas M. Läuchli

We study the scaling properties of the entanglement entropy (EE) near quantum critical points in interacting random antiferromagnetic (AF) spin chains. Using density-matrix renormalization group, we compute the half-chain EE near the…

Disordered Systems and Neural Networks · Physics 2024-03-05 Prashant Kumar , R. N. Bhatt

We develop a strong-disorder renormalization group to study quantum phase transitions with continuous O$(N)$ symmetry order parameters under the influence of both quenched disorder and dissipation. For Ohmic dissipation, as realized in…

Strongly Correlated Electrons · Physics 2009-01-06 Thomas Vojta , Chetan Kotabage , J. A. Hoyos

We study the Heisenberg $S=1/2$ chain with random ferro- and antiferromagnetic couplings using quantum Monte Carlo simulations at ultra-low temperatures, converging to the ground state. Finite-size scaling of correlation functions and…

Strongly Correlated Electrons · Physics 2025-02-26 Sibei Li , Hui Shao , Anders W. Sandvik
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