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We present and analyze large-scale simulation results of a hybrid quantum-classical variational method to calculate the ground state energy of the anti-ferromagnetic Heisenberg model. Using a massively parallel universal quantum computer…

量子物理 · 物理学 2022-06-20 Manpreet Singh Jattana , Fengping Jin , Hans De Raedt , Kristel Michielsen

We study the entanglement of thermal and ground states in Heisernberg $XX$ qubit rings with a magnetic field. A general result is found that for even-number rings pairwise entanglement between nearest-neighbor qubits is independent on both…

量子物理 · 物理学 2009-11-07 Xiaoguang Wang

The one dimensional S=1/2 Heisenberg model with dimerization and quadrumerization is studied by means of the numerical exact diagonalization of finite size systems. Using the phenomenological renormalization group and finite size scaling…

统计力学 · 物理学 2016-08-31 Wei Chen , Kazuo Hida

The ground state phase diagram of a spin $S=1/2$ $XXZ$ Heisenberg chain with spatially modulated Dzyaloshinskii-Moriya (DM) interaction $ {\cal H}= \sum_n J\left[\left(S^x_n S^x_{n+1} +S^y_n S^y_{n+1}+\Delta S^z_n…

强关联电子 · 物理学 2019-06-04 N. Avalishvili , G. I. Japaridze , G. L. Rossini

We investigate the ground state properties of quantum skyrmions in a ferromagnet using variational Monte Carlo with the neural network quantum state as variational ansatz. We study the ground states of a two-dimensional quantum Heisenberg…

介观与纳米尺度物理 · 物理学 2023-09-21 Ashish Joshi , Robert Peters , Thore Posske

We investigate the zero-temperature phase diagram of the nearest-neighbor kagome antiferromagnet in the presence of Dzyaloshinksii-Moriya interaction. We develop a theory for the transition between Z2 spin liquids with bosonic spinons and a…

强关联电子 · 物理学 2010-05-24 Yejin Huh , Lars Fritz , Subir Sachdev

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…

强关联电子 · 物理学 2020-08-05 Alexander Wietek , Andreas M. Läuchli

The phase transition of the quantum spin-1/2 frustrated Heisenberg antiferroferromagnet on an anisotropic square lattice is studied by using a variational treatment. The model is described by the Heisenberg Hamiltonian with two…

统计力学 · 物理学 2015-06-05 Orlando D. Mabelini , Octavio Salmon , J. Ricardo de Sousa

Heisenberg antiferromagnets in a strong uniform magnetic field $H$ are expected to exhibit a gapless phase with a global O(2) symmetry. In many real magnets, a small energy gap is induced by additional interactions that can be viewed as a…

强关联电子 · 物理学 2009-11-10 J. -B. Fouet , O. Tchernyshyov , F. Mila

We study the ground state properties of the $S=\frac{1}{2}$ staggered Heisenberg-$\Gamma$ honeycomb model under a magnetic field based on analytical and numerical methods. Our calculations show that the conventional zigzag and stripy phases…

强关联电子 · 物理学 2025-05-29 Mojtaba Ahmadi-Yazdi , Mohammad-Hossein Zare , Hamid Mosadeq , Farhad Fazileh

We present the zero temperature phase diagram of a Heisenberg antiferromagnet on a frustrated triangular lattice with nearest neighbor ($J_1$) and next nearest neighbor ($J_2$) interactions, in a magnetic field. We show that the classical…

强关联电子 · 物理学 2017-05-25 Mengxing Ye , Andrey V. Chubukov

We discuss the ground state and the low-lying excitations of the spin-half Heisenberg antiferromagnet on the two-dimensional square-kagome lattice. This magnetic system belongs to the class of highly frustrated spin systems with an infinite…

强关联电子 · 物理学 2007-05-23 J. Richter , J. Schulenburg , P. Tomczak , D. Schmalfuß

The antiferromagnetic to valence-bond-solid phase transition in the two-dimensional J-Q model (an S=1/2 Heisenberg model with four-spin interactions) is studied using large-scale quantum Monte Carlo simulations. The results support a…

强关联电子 · 物理学 2010-04-30 Anders W. Sandvik

We explore the quantum phase transitions between two ordered states in the infinite dimensional Hubbard-Holstein model at half filling. Our study is based on the dynamical mean field theory (DMFT) combined with the numerical renormalization…

强关联电子 · 物理学 2010-07-29 Johannes Bauer , Alex C. Hewson

We present the general theory of clean, two-dimensional, quantum Heisenberg antiferromagnets which are close to the zero-temperature quantum transition between ground states with and without long-range N\'{e}el order. For N\'{e}el-ordered…

凝聚态物理 · 物理学 2009-10-22 Andrey V. Chubukov , Subir Sachdev , Jinwu Ye

The continuous imaginary-time quantum Monte Carlo method with the worm update algorithm is applied to explore the ground state properties of the spin-1/2 Heisenberg model with antiferromagnetic (AF) coupling $J>0$ and ferromagnetic (F)…

强关联电子 · 物理学 2017-06-07 Yi-Zhen Huang , Gang Su

We study the properties of the Heisenberg antiferromagnet with spatially anisotropic nearest-neighbour exchange couplings on the kagome net, i.e. with coupling J in one lattice direction and couplings J' along the other two directions. For…

强关联电子 · 物理学 2009-11-13 T. Yavors'kii , W. Apel , H. -U. Everts

The Heisenberg antiferromagnet on the kagome lattice is an archetypal instance of how large ground state degeneracies arise, and how they may get resolved by thermal and quantum fluctuations. Augmenting the Heisenberg model by chiral spin…

强关联电子 · 物理学 2022-10-11 Jackson Pitts , Finn Lasse Buessen , Roderich Moessner , Simon Trebst , Kirill Shtengel

The ground state of a spin-1/2 Heisenberg chain with both frustration and long-range interactions is studied using Lanczos exact diagonalization. The evolution of the well known dimerization transition of the system with short-range…

强关联电子 · 物理学 2010-05-04 Anders W. Sandvik

Motivated by earlier simulated annealing studies and materials with large spin on the Kagome lattice, we performed large scale parallel tempering simulations on the Kagome lattice for the extended classical Heisenberg model including next…

统计力学 · 物理学 2013-05-30 Martin Spenke , Siegfried Guertler