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Investigating quantum fluctuations in the ground states of S=1 quantum antiferromagnetic spin chains described by the bilinear-biquadratic Hamiltonian, we study a mechanism of the breakdown of the Haldane phase. Based on the…

Statistical Mechanics · Physics 2007-05-23 Shoji Yamamoto

Exploiting the entanglement concept within a matrix-product-state based infinite density-matrix renormalization group approach, we show that the spin-density-wave and bond-order-wave ground states of the one-dimensional half-filled extended…

Strongly Correlated Electrons · Physics 2015-08-05 Florian Lange , Satoshi Ejima , Holger Fehske

We study the Heisenberg spin chain with twisted boundary conditions, focusing on the adiabatic flow of the energy spectrum as a function of the twist angle. In terms of effective field theory for the nearest-neighbor model, we show that the…

Condensed Matter · Physics 2009-10-28 T. Fukui , N. Kawakami

We demonstrate that the concept of quantum typicality allows for significant progress in the study of real-time spin dynamics and transport in quantum magnets. To this end, we present a numerical analysis of the spin-current autocorrelation…

Strongly Correlated Electrons · Physics 2014-03-31 Robin Steinigeweg , Jochen Gemmer , Wolfram Brenig

A Haldane conjecture is revealed for spin-singlet charge modes in 2N-component fermionic cold atoms loaded into a one-dimensional optical lattice. By means of a low-energy approach and DMRG calculations, we show the emergence of gapless and…

Strongly Correlated Electrons · Physics 2010-01-25 H. Nonne , P. Lecheminant , S. Capponi , G. Roux , E. Boulat

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

Statistical Mechanics · Physics 2020-07-06 Katarina Karlova , Jozef Strecka , Taras Verkholyak

The Heisenberg model for spin-1 bosons in one dimension presents many different quantum phases including the famous topological Haldane phase. Here we study the robustness of such phases in front of a SU(2) symmetry breaking field as well…

Quantum Gases · Physics 2011-09-30 G. De Chiara , M. Lewenstein , A. Sanpera

We investigate the application of a perturbative renormalization group (RG) method to random antiferromagnetic Heisenberg chains with arbitrary spin size. At zero temperature we observe that initial arbitrary probability distributions…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Saguia , B. Boechat , M. A. Continentino , O. F. de Alcantara Bonfim

An impurity bond $J{'}$ in a periodic 1D antiferromagnetic, spin 1 chain with exchange $J$ is considered. Using the numerical density matrix renormalization group method, we find an impurity energy level in the Haldane gap, corresponding to…

Condensed Matter · Physics 2016-08-31 Wei Wang , Shaojin Qin , Zhong-Yi Lu , Lu Yu , Zhaobin Su

Using a matrix product state algorithm with infinite boundary conditions, we compute high-resolution dynamic spin and quadrupolar structure factors in the thermodynamic limit to explore the low-energy excitations of isotropic…

Strongly Correlated Electrons · Physics 2020-10-19 Moritz Binder , Thomas Barthel

The Haldane-Hubbard model is a prime example of the combined effects of band topology and electronic interaction. We revisit its spinful phase diagram at half-filling as a consensus on the presence of SU($2$) symmetry is currently lacking.…

Strongly Correlated Electrons · Physics 2024-01-17 Wan-Xiu He , Rubem Mondaini , Hong-Gang Luo , Xiaoqun Wang , Shijie Hu

The ground state and excitation spectra of the $S=1$ Heisenberg spin chain with hole hopping are investigated by means of the numerical-diagonalization method and by the help of the Zhang-Arovas picture. As for the charge sector, two phases…

Condensed Matter · Physics 2016-08-31 Yoshihiro Nishiyama , Masuo Suzuki

String correlations are investigated in an infinite-size XXZ spin-1 chain. By using the infinite matrix product state representation, we calculate a long-range string order. In the XY phase, the string correlations decay within a relatively…

Statistical Mechanics · Physics 2015-06-04 Yao Heng Su , Sam Young Cho , Bo Li , Hong-Lei Wang , Huan-Qiang Zhou

In order to clarify a key role of orbital degree of freedom in the spin S=1 Haldane system, we investigate ground-state properties of the t2g-orbital degenerate Hubbard model on the linear chain by using numerical techniques. Increasing the…

Strongly Correlated Electrons · Physics 2009-11-10 Hiroaki Onishi , Takashi Hotta

We study ground state properties of the $S=2$ quantum antiferromagnetic chain with a uniaxially anisotropic Hamiltonian: $ H = \sum_{j} [S_{j} \cdot S_{j+1} + D (S^{z}_{j})^2 ] $ by a Monte Carlo calculation. While it has been reported that…

Condensed Matter · Physics 2016-08-31 M. Oshikawa , M. Yamanaka , S. Miyashita

Magnetic impurities coupled antiferromagnetically to a one-dimensional Heisenberg model are studied by numerical diagonalization of chains of finite clusters. By calculating the binding energy and the correlation function, it is shown that…

Condensed Matter · Physics 2009-10-22 J. Igarashi , T. Tonegawa , M. Kaburagi , P. Fulde

The ground states of two types of distorted mixed diamond chains with spins 1 and 1/2 are investigated using exact diagonalization, DMRG, and mapping onto low-energy effective models. In the undistorted case, the ground state consists of an…

Strongly Correlated Electrons · Physics 2010-11-11 Kazuo Hida , Ken'ichi Takano , Hidenori Suzuki

We present an extensive numerical study of spin quadrupolar correlations in single and coupled bilinear-biquadratic spin one chains, using several methods such as Exact Diagonalization, Density Matrix Renormalization Group and strong…

Strongly Correlated Electrons · Physics 2007-05-23 Andreas Laeuchli , Guido Schmid , Simon Trebst

We study the spin-$1$ Heisenberg model on the square lattice with the antiferromagnetic nearest-neighbor $J_1$ and the next-nearest-neighbor $J_2$ couplings by using the infinite projected entangled-pair state (iPEPS) ansatz and density…

Strongly Correlated Electrons · Physics 2018-06-01 R. Haghshenas , Wang-Wei Lan , Shou-Shu Gong , D. N. Sheng

Symmetry-protected topological phases have fundamentally changed our understanding of quantum matter. An archetypal example of such a quantum phase of matter is the Haldane phase, containing the spin-1 Heisenberg chain. The intrinsic…

Quantum Physics · Physics 2025-07-29 C. L. Edmunds , E. Rico , I. Arrazola , G. K. Brennen , M. Meth , R. Blatt , M. Ringbauer