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Related papers: Deconfined quantum criticality in spin-1/2 chains …

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We resolve the nature of the quantum phase transition between a N\'eel antiferromagnet and a valence-bond solid in two-dimensional spin-1/2 magnets. We study a class of $J$-$Q$ models, in which Heisenberg exchange $J$ competes with…

Strongly Correlated Electrons · Physics 2024-05-13 Jun Takahashi , Hui Shao , Bowen Zhao , Wenan Guo , Anders W. Sandvik

Ground-state behaviour of the frustrated quantum spin-1/2 two-leg ladder with the Heisenberg intra-rung and Ising inter-rung interactions is examined in detail. The investigated model is transformed to the quantum Ising chain with composite…

Statistical Mechanics · Physics 2012-07-19 Taras Verkholyak , Jozef Strecka

We use QMC simulations to study effects of disorder on the $S=1/2$ Heisenberg model with exchange constant $J$ on the square lattice supplemented by multispin interactions $Q$. It was found recently [L. Lu et al., Phys. Rev. X 8, 041040…

Strongly Correlated Electrons · Physics 2020-09-09 Lu Liu , Wenan Guo , Anders W. Sandvik

Quantum transition points in the J -Q model---the test bed of the deconfined critical point theory---and the SU(2)-symmetric discrete noncompact CP^1 representation of the deconfined critical action are directly compared by the flowgram…

Strongly Correlated Electrons · Physics 2016-11-04 Kun Chen , Yuan Huang , Youjin Deng , A. B. Kuklov , N. V. Prokof'ev , B. V. Svistunov

We investigate the ground-state magnetic long-range order of quasi-one-dimensional quantum Heisenberg antiferromagnets for spin quantum numbers s=1/2 and s=1. We use the coupled cluster method to calculate the sublattice magnetization in…

Strongly Correlated Electrons · Physics 2008-03-05 Ronald Zinke , Joerg Schulenburg , Johannes Richter

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.…

Strongly Correlated Electrons · Physics 2024-08-02 Hidehiro Saito , Chisa Hotta

The quantum phase transition, scaling behaviors, and thermodynamics in the spin-1/2 quantum Heisenberg model with antiferromagnetic coupling $J>0$ in armchair direction and ferromagnetic interaction $J'<0$ in zigzag direction on a honeycomb…

Strongly Correlated Electrons · Physics 2016-06-08 Yi-Zhen Huang , Bin Xi , Xi Chen , Wei Li , Zheng-Chuan Wang , Gang Su

Fluctuations can drive continuous phase transitions between two distinct ordered phases -- so-called deconfined quantum critical points (DQCPs) -- which lie beyond the Landau-Ginzburg-Wilson paradigm. Despite several theoretical predictions…

We use the coupled cluster method (CCM) to study the zero-temperature ground-state (GS) properties of a spin-1/2 $J_{1}$--$J_{2}$ Heisenberg antiferromagnet on a triangular lattice with competing nearest-neighbor and next-nearest-neighbor…

Strongly Correlated Electrons · Physics 2015-01-26 Peggy H. Y. Li , Raymond F. Bishop , Charles E. Campbell

The emergence of exotic quantum phenomena in frustrated magnets is rapidly driving the development of quantum many-body physics, raising fundamental questions on the nature of quantum phase transitions. Here we unveil the behaviour of…

Strongly Correlated Electrons · Physics 2024-01-29 Wen-Yuan Liu , Shou-Shu Gong , Wei-Qiang Chen , Zheng-Cheng Gu

Recently it was argued that quantum phase transitions can be radically different from classical phase transitions with as a highlight the 'deconfined critical points' exhibiting fractionalization of quantum numbers due to Berry phase…

Strongly Correlated Electrons · Physics 2009-11-11 Frank Krüger , Stefan Scheidl

We use Quantum Monte-Carlo methods to study the ground state phase diagram of a S=1/2 honeycomb lattice magnet in which a nearest-neighbor antiferromagnetic exchange J (favoring N\'eel order) competes with two different multi-spin…

Strongly Correlated Electrons · Physics 2015-03-25 Sumiran Pujari , Fabien Alet , Kedar Damle

The ground state of the $S=1/2$ $J_{1}-J_{1}$ Heisenberg model on the 2D square lattice with arbitrary signs of exchange constants is considered. States with different spin long-range order types (antiferromagnetic checkerboard, stripe,…

Strongly Correlated Electrons · Physics 2013-07-25 A. V. Miheyenkov , A. V. Shvartsberg , A. F. Barabanov

The criticality between the nematic and valence-bond-solid (VBS) phases was investigated for the two-dimensional quantum S=1-spin model with the three-spin and biquadratic interactions by means of the numerical diagonalization method. It is…

Statistical Mechanics · Physics 2015-06-24 Yoshihiro Nishiyama

Using the coupled cluster method we study the phase diagram of the spin-1/2 Heisenberg antiferromagnet on a honeycomb lattice with nearest-neighbor exchange coupling $J_{1}>0$ and frustrating next-nearest-neighbor coupling $J_{2} \equiv…

Strongly Correlated Electrons · Physics 2013-09-18 R. F. Bishop , P. H. Y. Li , C. E. Campbell

Quantum Monte Carlo simulations are used to study the magnetic and transport properties of the Hubbard Model, and its strong coupling Heisenberg limit, on a one-third depleted square lattice. This is the geometry occupied, after charge…

Strongly Correlated Electrons · Physics 2017-01-25 H. -M. Guo , T. Mendes-Santos , W. E. Pickett , R. T. Scalettar

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…

Condensed Matter · Physics 2009-11-10 Jaan Oitmaa , Weihong Zheng

We study the dynamic spin structure factor of the spin-$1/2$ square-lattice Heisenberg antiferromagnet and of the $J$-$Q$ model (with 4-spin interactions $Q$ and Heisenberg exchange $J$). Using an improved method for stochastic analytic…

Strongly Correlated Electrons · Physics 2018-01-03 Hui Shao , Yan Qi Qin , Sylvain Capponi , Stefano Chesi , Zi Yang Meng , Anders W. Sandvik

We study a one-dimensional (1d) system that shows many analogies to proposed two-dimensional (2d) deconfined quantum critical points (DQCP). Our system is a translationally invariant spin-1/2 chain with on-site $Z_2 \times Z_2$ symmetry and…

Strongly Correlated Electrons · Physics 2019-09-27 Shenghan Jiang , Olexei I. Motrunich

The phase transition between the valence-bond-solid (VBS) and nematic phases, the so-called deconfined criticality, was investigated for the quantum S=1-spin model on the spatially anisotropic triangular lattice with the biquadratic…

Statistical Mechanics · Physics 2015-06-11 Yoshihiro Nishiyama