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相关论文: Constructing gapless spin liquid state for the spi…

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The Shastry-Sutherland model is an effective model of the layered material SrCu$_2$(BO$_3$)$_2$, which exhibits an extremely rich phase diagram as a function of pressure and magnetic field. Motivated by the recent controversy regarding its…

强关联电子 · 物理学 2026-05-12 Philippe Corboz , Yining Zhang , Boris Ponsioen , Frédéric Mila

We investigate the spin-$\frac{1}{2}$ Heisenberg model on the triangular lattice in the presence of nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ antiferromagnetic couplings. Motivated by recent findings from density-matrix…

强关联电子 · 物理学 2016-04-12 Yasir Iqbal , Wen-Jun Hu , Ronny Thomale , Didier Poilblanc , Federico Becca

We analyse a model of a one-dimensional electron gas interacting with an antiferromagnetic Heisenberg spin-1/2 chain via the spin exchange interactions. Using a solution at a special limit, we characterize the gapless modes of the spin gap…

强关联电子 · 物理学 2016-08-31 Oron Zachar , Alexei M. Tsvelik

We study the phase diagram and the dynamical spin structure factor of the spin-1/2 J1-J3 Heisenberg model on the square lattice using density matrix renormalization group, exact diagonalization (ED), and cluster perturbation theory (CPT).…

强关联电子 · 物理学 2022-09-20 Muwei Wu , Shou-Shu Gong , Dao-Xin Yao , Han-Qing Wu

We perform an in-depth investigation of the phase diagram of the $J_1-J_2$ Heisenberg model on the square lattice. We take advantage of Density Matrix Renormalization Group and Fully-Augmented Matrix Product States methods and reach…

强关联电子 · 物理学 2024-04-09 Xiangjian Qian , Mingpu Qin

We develop and benchmark a technique for simulating excitation spectra of generic two-dimensional quantum lattice systems using the framework of projected entangled-pair states (PEPS). The technique relies on a variational ansatz for…

强关联电子 · 物理学 2019-04-24 Laurens Vanderstraeten , Jutho Haegeman , Frank Verstraete

Motivated by recent density-matrix renormalization group (DMRG) calculations [Yan, Huse, and White, Science 332, 1173 (2011)], which claimed that the ground state of the nearest-neighbor spin-1/2 Heisenberg antiferromagnet on the kagome…

强关联电子 · 物理学 2011-07-25 Yasir Iqbal , Federico Becca , Didier Poilblanc

We investigate the spin-$1/2$ Heisenberg antiferromagnet on the ruby lattice with uniform first- and second-neighbor interactions, which forms a two-dimensional network of corner-sharing tetrahedra. Using infinite projected entangled pair…

强关联电子 · 物理学 2025-12-17 Pratyay Ghosh , Frédéric Mila

Infinite projected entangled-pair states (iPEPS) have been introduced to accurately describe many-body wave functions on two-dimensional lattices. In this context, two aspects are crucial: the systematic improvement of the {\it Ansatz} by…

强关联电子 · 物理学 2022-11-29 Juraj Hasik , Glen B. Mbeng , Sylvain Capponi , Federico Becca , Andreas M. Läuchli

The Li-Haldane correspondence [PRL 101, 010504 (2008)] is often used to help identify wave functions of (2+1)-D chiral topological phases (i.e., with non-zero chiral central charge) by studying low-lying entanglement spectra (ES) on long…

强关联电子 · 物理学 2024-01-05 Mark J. Arildsen , Norbert Schuch , Andreas W. W. Ludwig

Frustrated quantum magnetism has moved to the forefront of physics research, posing fundamental questions concerning quantum disordered states, entanglement, topology and the nature of the quantum wavefunction. The defining problem in the…

强关联电子 · 物理学 2017-04-05 H. J. Liao , Z. Y. Xie , J. Chen , Z. Y. Liu , H. D. Xie , R. Z. Huang , B. Normand , T. Xiang

By direct calculations of the spin gap in the frustrated Heisenberg model on the square lattice, with nearest- ($J_1$) and next-nearest-neighbor ($J_2$) super-exchange couplings, we provide a solid evidence that the spin-liquid phase in the…

强关联电子 · 物理学 2015-06-15 Wen-Jun Hu , Federico Becca , Alberto Parola , Sandro Sorella

Using the coupled cluster method (CCM) we study the full (zero-temperature) ground-state (GS) phase diagram of a spin-half ($s=1/2$) $J_{1}$-$J_{2}$ Heisenberg model on a cross-striped square lattice. Each site of the square lattice has 4…

强关联电子 · 物理学 2014-01-10 R. F. Bishop , P. H. Y. Li , C. E. Campbell

Recent experiments on triangular lattice organic Mott insulators have found evidence for a 2D spin liquid in proximity to the metal-insulator transition. A Gutzwiller wavefunction study of the triangular lattice Heisenberg model with…

强关联电子 · 物理学 2013-05-29 D. N. Sheng , Olexei I. Motrunich , Matthew P. A. Fisher

We study the energy and the static spin structure factor of the ground state of the spin-1/2 quantum Heisenberg antiferromagnetic model on the kagome lattice. By the iterative application of a few Lanczos steps on accurate projected…

强关联电子 · 物理学 2015-03-20 Yasir Iqbal , Federico Becca , Sandro Sorella , Didier Poilblanc

We use the coupled cluster method to high orders of approximation in order to calculate the ground-state energy, the ground-state magnetic order parameter, and the spin gap of the spin-1/2 J_1-J_2 model on the square lattice. We obtain…

强关联电子 · 物理学 2015-01-16 J. Richter , R. Zinke , D. J. J. Farnell

We studied the ground state phase diagram of spin-1/2 J1-J2 XY model on the square lattice with first- J1 and second-neighbor J2 antiferromagnetic interactions using both iDMRG and DMRG approaches. We show that a plaquette valence bond…

强关联电子 · 物理学 2023-06-14 Y. -H. Chan , Hong-Chen Jiang , Y. -C. Chen

The spin-$\frac{1}{2}$ antiferromagnetic Heisenberg model on the pyrochlore lattice(PAFH) is arguably the most well known strongly frustrated quantum magnet in three spatial dimension. However, due to the rapid scaling of Hilbert space with…

强关联电子 · 物理学 2025-11-21 Rong Cheng , Tao Li

We study possible quantum ground states of the Sp(N) generalized Heisenberg model on a cubic lattice with nearest-neighbor and next-nearest-neighbor exchange interactions. The phase diagram is obtained in the large-N limit and fluctuation…

强关联电子 · 物理学 2009-11-10 Jean-Sebastien Bernier , Ying-Jer Kao , Yong Baek Kim

We study the plaquette valence-bond solid phase of the spin-1/2 J_1-J_2 antiferromagnet Heisenberg model on the square lattice within the bond-operator theory. We start by considering four S = 1/2 spins on a single plaquette and determine…

强关联电子 · 物理学 2014-03-24 R. L. Doretto