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The spin-1/2 chain with isotropic exchange J1, J2 > 0 between first and second neighbors is frustrated for either sign of J1 and has a singlet ground state (GS) for J1/J2 $\ge - 4$. Its rich quantum phase diagram supports gapless, gapped,…

强关联电子 · 物理学 2016-04-20 Zoltán G. Soos , Aslam Parvej , Manoranjan Kumar

The static structure factor S(q) of frustrated spin-1/2 chains with isotropic exchange and a singlet ground state (GS) diverges at wave vector q_m when the GS has quasi-long-range order (QLRO) with periodicity 2\pi/q_m but S(q_m) is finite…

强关联电子 · 物理学 2014-05-08 Manoranjan Kumar , Aslam Parvej , Z. G. Soos

We use the DMRG method to calculate several energy eigenvalues of the frustrated $S=1/2$ square-lattice $J_1$-$J_2$ Heisenberg model on $2L \times L$ cylinders with $L \le 10$. We identify excited-level crossings versus the coupling ratio…

强关联电子 · 物理学 2018-09-12 Ling Wang , Anders W. Sandvik

We study spin-$1/2$ chains with long-range power-law decaying unfrustrated (bipartite) Heisenberg exchange $J_r \propto r^{-\alpha}$ and multi-spin interactions $Q$ favoring a valence-bond solid (VBS) ground state. Employing quantum Monte…

计算物理 · 物理学 2020-01-13 Sibin Yang , Dao-Xin Yao , Anders W. Sandvik

Exact diagonalization of finite spin-1/2 chains with periodic boundary conditions is applied to the ground state (gs) of chains with ferromagnetic (F) exchange $J_1 < 0$between first neighbors, antiferromagnetic (AF) exchange $J_2 = \alpha…

强关联电子 · 物理学 2012-05-15 Manoranjan Kumar , Zoltán G. Soos

The quantum phases of one-dimensional spin $s= 1/2$ chains are discussed for models with two parameters, frustrating exchange $g = J_2 > 0$ between second neighbors and normalized nonfrustrating power-law exchange with exponent $\alpha$ and…

强关联电子 · 物理学 2015-06-17 Manoranjan Kumar , Z. G. Soos

We study here different regions in phase diagrams of the spin-1/2, spin-1 and spin-3/2 one dimensional antiferromagnetic Heisenberg systems with frustration (next-nearest-neighbor interaction $J_2$) and dimerization ($\delta$). In…

强关联电子 · 物理学 2013-02-21 V. M. L. Durga Prasad Goli , Shaon Sahoo , S. Ramasesha , Diptiman Sen

We investigate the quantum spin-1/2 zigzag chain with frustrated $J_1$-$J_2$ Heisenberg interactions, incorporating additional off-diagonal exchange interactions known as the $\Gamma$ term, both with and without an applied magnetic field.…

强关联电子 · 物理学 2024-08-02 Hidehiro Saito , Chisa Hotta

We study Heisenberg spin-1/2 and spin-1 chains with alternating ferromagnetic ($J_1^F$) and antiferromagnetic ($J_1^A$) nearest-neighbor interactions and a ferromagnetic next-nearest-neighbor interaction ($J_2^F$). In this model frustration…

强关联电子 · 物理学 2014-06-19 Shaon Sahoo , V. M. L. Durga Prasad Goli , Diptiman Sen , S. Ramasesha

The zero-temperature ground-state (GS) properties and phase diagram of a frustrated spin-1 $J_{1}$--$J_{2}$ Heisenberg model on the checkerboard square lattice are studied, using the coupled cluster method. We consider the case where the…

强关联电子 · 物理学 2014-08-20 P H Y Li , R F Bishop , C E Campbell

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…

凝聚态物理 · 物理学 2009-10-22 R. Chitra , Swapan K. Pati , H. R. Krishnamurthy , D. Sen , S. Ramasesha

We investigate the influence of an inter-chain coupling on the spiral ground state correlations of a spin-1/2 Heisenberg model consisting of a two-dimensional array of coupled chains with nearest (J1) and frustrating next-nearest neighbor…

强关联电子 · 物理学 2009-08-21 Ronald Zinke , Stefan-Ludwig Drechsler , Johannes Richter

We use the coupled cluster method for infinite chains complemented by exact diagonalization of finite periodic chains to discuss the influence of a third-neighbor exchange J3 on the ground state of the spin-1/2 Heisenberg chain with…

强关联电子 · 物理学 2011-09-15 R. Zinke , J. Richter , S. -L. Drechsler

Through exact diagonalization study of the spin - 1/2 Heisenberg model on Kagome lattice with ring-exchange coupling $J_{r}$, we find the pure Heisenberg model with $J_{r}=0$ stands as a quantum critical point, as evidenced by avoided level…

强关联电子 · 物理学 2011-07-01 Tao Li

The ground state phase of spin-1/2 $J_1$-$J_2$ antiferromagnetic Heisenberg model on square lattice around the maximally frustrated regime ($J_2\sim 0.5J_1$) has been debated for decades. Here we study this model using the cluster update…

强关联电子 · 物理学 2016-08-24 Ling Wang , Zheng-Cheng Gu , Frank Verstraete , Xiao-Gang Wen

We investigate the critical parameters of an order-disorder quantum phase transitions in the spin-1/2 $J-J'$ Heisenberg and XY antiferromagnets on square lattice. Basing on the excitation gaps calculated by exact diagonalization technique…

凝聚态物理 · 物理学 2009-11-07 Piotr Tomczak , Johannes Richter

We investigate frustrated antiferromagnetic Heisenberg quantum spin chains at T=0 for S=3/2 and S=2 using the DMRG method. We localize disorder and Lifshitz points, confirming that quantum disorder points can be seen as quantum remnants of…

凝聚态物理 · 物理学 2009-10-31 R. Roth , U. Schollwoeck

We use linked-cluster series expansions, both at T=0 and high temperature, to analyse the phase structure of the spin-$\half$ Heisenberg antiferromagnet with competing first and second-neighbor interactions on the 3-dimensional…

凝聚态物理 · 物理学 2009-11-10 Jaan Oitmaa , Weihong Zheng

We study a frustrated antiferromagnetic isotropic Heisenberg $S=1$ chain using a variational ansatz and the DMRG. At $\alpha_D=0.284(1)$, there is a disorder point of the second kind, marking the onset of incommensurate correlations in the…

凝聚态物理 · 物理学 2009-10-28 A. Kolezhuk , R. Roth , U. Schollwoeck

We study the ground-state phase diagram of a spin-1 Heisenberg chain with staggered long-range (LR) interactions decaying as $\propto r^{-\alpha}$ using a quantum Monte Carlo approach based on the split-spin representation. This formulation…

强关联电子 · 物理学 2026-04-23 Justin Tim-Lok Chau , Jiarui Zhao , Nicolas Laflorencie , Zi Yang Meng
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