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The recursion method is used to determine the T=0 spin dynamic structure factor S_{zz}(q,\omega) in the Luttinger liquid state and in the phase-separated state of the one-dimensional t-J model. As the exchange coupling increases from zero,…

Condensed Matter · Physics 2009-10-28 Shu Zhang , Gerhard Müller , Joachim Stolze

We consider an exchange model describing two isotropic spin-1/2 Heisenberg antiferromagnets coupled by a quartic term on the square lattice. The model is relevant for systems with orbital degeneracy and strong electron-vibron coupling in…

Strongly Correlated Electrons · Physics 2009-10-31 G. Santoro , S. Sorella , L. Guidoni , A. Parola , E. Tosatti

Pairwise quantum correlations in the ground state of a N-spins antiferromagnetic chain described by the Heisenberg model with nearest neighbor exchange coupling are investigated. By varying a single coupling between two neighboring sites it…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 P. R. Wells , C. M. Chaves , J. A. e. Castro , Belita Koiller

We study the ground-state properties of the quantum spin liquid (QSL) phases of the spin-$1/2$ antiferromagnetic Heisenberg model on the triangular lattice with nearest- ($J_1$), next-nearest- ($J_2$), and third-neighbor ($J_3$)…

Strongly Correlated Electrons · Physics 2023-05-10 Yi-Fan Jiang , Hong-Chen Jiang

We study a class of spin-1/2 quantum antiferromagnetic chains using DMRG technique. The exchange interaction in these models decreases linearly as a function of the separation between the spins, $J_{ij} = R-|i-j|$ for $|i-j| \le R$. For the…

Strongly Correlated Electrons · Physics 2013-03-04 Bimla Danu , Brijesh Kumar , Ramesh V. Pai

The widespread use of the noninteracting ground state as the initial state for the digital quantum simulation of the Fermi-Hubbard model is largely due to the scarcity of alternative easy-to-prepare approximations to the exact ground state…

Strongly Correlated Electrons · Physics 2024-01-17 Bruno Murta , Joaquín Fernández-Rossier

We employ a classical limit grounded in SU(4) coherent states to investigate the temperature-dependent dynamical spin structure factor of the $S = 1/2$ ladder consisting of weakly coupled dimers. By comparing the outcomes of this classical…

Strongly Correlated Electrons · Physics 2024-12-25 David A. Dahlbom , Jinu Thomas , Steven Johnston , Kipton Barros , Cristian D. Batista

An effective spin-orbit Hamiltonian is derived for a spin-1/2 trimerized kagome antiferromagnet in the second-order of perturbation theory in the ratio of two coupling constants. Low-energy singlet states of the obtained model are mapped to…

Strongly Correlated Electrons · Physics 2007-05-23 M. E. Zhitomirsky

In view of the numerous examples in the literature it is attempted to outline a theory of Heisenberg spin systems possessing dimerized ground states (``DGS systems") which comprises all known examples. Whereas classical DGS systems can be…

Statistical Mechanics · Physics 2009-11-10 Heinz-Jürgen B. Schmidt

We determine dynamical response functions of the S=1/2 Heisenberg quantum antiferromagnet on the kagome lattice based on large-scale exact diagonalizations combined with a continued fraction technique. The dynamical spin structure factor…

Strongly Correlated Electrons · Physics 2009-01-09 Andreas Laeuchli , Claire Lhuillier

Inspired by the exact solution of the Majumdar-Ghosh model, a family of one-dimensional, translationally invariant spin hamiltonians is constructed. The exchange coupling in these models is antiferromagnetic, and decreases linearly with the…

Strongly Correlated Electrons · Physics 2016-08-31 Brijesh Kumar

Condensed matter physicists have long sought a realistic two-dimensional (2D) magnetic system whose ground state is a {\it spin liquid}---a zero temperature state in which quantum fluctuations have melted away any form of magnetic order.…

Strongly Correlated Electrons · Physics 2012-08-16 Simeng Yan , David A. Huse , Steven R. White

We propose a scheme for investigating the quantum dynamics of interacting electron models by means of time-dependent variational principle and spin coherent states of space lattice operators. We apply such a scheme to the one-dimensional…

Superconductivity · Physics 2009-10-31 Arianna Montorsi , Vittorio Penna

We revisit the description of the low-energy singlet sector of the spin-1/2 Heisenberg antiferromagnet on kagome in terms of an effective quantum dimer model. With the help of exact diagonalizations of appropriate finite-size clusters, we…

Strongly Correlated Electrons · Physics 2014-09-16 Ioannis Rousochatzakis , Yuan Wan , Oleg Tchernyshyov , Frédéric Mila

We study the ground state phase diagram of the quantum spin-$1/2$ Heisenberg model on the kagom\'{e} lattice with first- ($J_1 < 0$), second- ($J_2 < 0$), and third-neighbor interactions ($J_d > 0$) by means of analytical low-energy field…

Strongly Correlated Electrons · Physics 2016-07-28 Shou-Shu Gong , Wei Zhu , Kun Yang , Oleg A. Starykh , D. N. Sheng , Leon Balents

A Monte Carlo method for quantum spin systems is formulated in the basis of valence bond (singlet pair) states. The non-orthogonality of this basis allows for an efficient importance-sampled projection of the ground state out of an…

Strongly Correlated Electrons · Physics 2016-08-31 Anders W. Sandvik

Antiferromagnetic ground states, when doped, give rise to rich and complex phenomena, prompting detailed investigations in various spin systems. Here, we study the effect of doping on the one-dimensional $S = 1$ antiferromagnetic Heisenberg…

Strongly Correlated Electrons · Physics 2026-01-21 J. Prokopczyk , J. Herbrych

We present a certain class of two-dimensional frustrated quantum Heisenberg spin systems with multiple ring exchange interactions which are rigorously demonstrated to have quantum disordered ground states without magnetic long-range order.…

Strongly Correlated Electrons · Physics 2009-11-11 Satoshi Fujimoto

We study the competition between antiferromagnetic order and valence bond solid formation in a two-dimensional frustrated spin-1/2 model. The J1-J2 model on the square lattice is further frustrated by introducing products of three-spin…

Quantum Physics · Physics 2013-05-29 Alain Gellé , Andreas Läuchli , Brijesh Kumar , Frédéric Mila

Dynamical spin structure factors of quantum spin nematic states are calculated in a spin-1/2 square-lattice J1-J2 model with ferromagnetic J1 and competing antiferromagnetic J2 interactions. To this end, we use a fermion representation,…

Strongly Correlated Electrons · Physics 2013-03-05 Ryuichi Shindou , Seiji Yunoki , Tsutomu Momoi