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The two-dimensional $J$-$J^\prime$ dimerized quantum Heisenberg model is studied on the square lattice by means of (stochastic series expansion) quantum Monte Carlo simulations as a function of the coupling ratio \hbox{$\alpha=J^\prime/J$}.…

Statistical Mechanics · Physics 2008-09-22 Sandro Wenzel , Leszek Bogacz , Wolfhard Janke

The quasi-one-dimensional S=1 Heisenberg antiferromagnet with a biquadratic term is investigated at zero temperature by quantum Monte Carlo simulation. As the magnitude of the inter-chain coupling is increased, the system undergoes a phase…

Statistical Mechanics · Physics 2015-06-25 Kenji Harada , Naoki Kawashima , Matthias Troyer

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…

Condensed Matter · Physics 2009-11-07 Piotr Tomczak , Johannes Richter

Inspired by the recent results regarding whether the Harris criterion is valid for quantum spin systems, we have simulated a two-dimensional spin-1/2 Heisenberg model on the square lattice with a specific kind of quenched disorder using the…

Disordered Systems and Neural Networks · Physics 2020-05-13 Jhao-Hong Peng , L. -W. Huang , D. -R. Tan , F. -J. Jiang

We have studied the antiferromagnetic order -- disorder transition occurring at $T=0$ in a 2-layer quantum Heisenberg antiferromagnet as the inter-plane coupling is increased. Quantum Monte Carlo results for the staggered structure factor…

Condensed Matter · Physics 2009-10-22 A. W. Sandvik , D. J. Scalapino

We use quantum Monte Carlo simulations to study a disordered S=1/2 Heisenberg quantum spin model with three different nearest-neighbor interactions, J1<=J2<=J3, on the square lattice. We consider the regime in which J1 represents weak…

Strongly Correlated Electrons · Physics 2017-06-30 Nvsen Ma , Anders W. Sandvik , Dao-Xin Yao

Using a combination of unbiased quantum Monte Carlo simulations and a decoupled dimer mean-field theory, we investigate the thermal and quantum phase transitions of the spin-1/2 Heisenberg model on the dimerized diamond lattice. We find…

Strongly Correlated Electrons · Physics 2025-09-03 Ronja Bärwolf , Alexander Sushchyev , Francesco Parisen Toldin , Stefan Wessel

We study two planar square lattice Heisenberg models with explicit dimerization or quadrumerization of the couplings in the form of ladder and plaquette arrangements. We investigate the quantum critical points of those models by means of…

Strongly Correlated Electrons · Physics 2009-01-21 Sandro Wenzel , Wolfhard Janke

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

We study the S=1/2 Heisenberg antiferromagnet on a square lattice with nearest-neighbor and plaquette four-spin exchanges (introduced by A.W. Sandvik, Phys. Rev. Lett. {\bf 98}, 227202 (2007).) This model undergoes a quantum phase…

Strongly Correlated Electrons · Physics 2009-11-14 Valeri N. Kotov , Dao-Xin Yao , A. H. Castro Neto , D. K. Campbell

We investigate quantum phase transitions in the spin-1/2 Heisenberg antiferromagnet on square lattices with inhomogeneous bond dilution. It is shown that quantum fluctuations can be continuously tuned by inhomogeneous bond dilution,…

Strongly Correlated Electrons · Physics 2009-11-11 Rong Yu , Tommaso Roscilde , Stephan Haas

We examine phases of the Shraiman-Siggia model of lightly-doped, square lattice quantum antiferromagnets in a self-consistent, two-loop, interacting magnon analysis. We find magnetically-ordered and quantum-disordered phases both with and…

Condensed Matter · Physics 2009-10-22 Subir Sachdev

We develop a systematic large-$N$ expansion based on the Schwinger boson representation of SU(4) coherent states of dimers for the paradigmatic spin-$1/2$ bilayer square lattice Heisenberg antiferromagnet. This system exhibits a quantum…

Strongly Correlated Electrons · Physics 2025-07-08 Shang-Shun Zhang , Yasuyuki Kato , E. A. Ghioldi , L. O. Manuel , A. E. Trumper , Cristian D. Batista

We investigate the spatially anisotropic square lattice quantum antiferromagnet. The model describes isotropic spin-1/2 Heisenberg chains (exchange constant J) coupled antiferromagnetically in the transverse (J_\perp) and diagonal…

Strongly Correlated Electrons · Physics 2007-05-23 Oleg A. Starykh , Leon Balents

We use the density matrix renormalization group to study the quantum transitions that occur in the half-filled one-dimensional fermionic Hubbard model with onsite potential disorder. We find a transition from the gapped Mott phase with…

Strongly Correlated Electrons · Physics 2016-08-15 Ramesh V. Pai , Alexander Punnoose , Rudolf A. Römer

We study the effect of quenched disorder on the semimetal-superconductor quantum phase transition in a model of two-dimensional Dirac semimetal with $N$ flavors of two-component Dirac fermions, using perturbative renormalization group…

Strongly Correlated Electrons · Physics 2018-12-03 Hennadii Yerzhakov , Joseph Maciejko

We study the effects of disorder in two-dimensional quantum antiferromagnets on a square lattice, within the nonlinear sigma model approach, by using of a random distribution of spin stiffnesses or zero-temperature-spin-gaps, respectively,…

Condensed Matter · Physics 2007-05-23 C. M. S. Conceicao , E. C. Marino

We study effects of disorder (randomness) in a 2D square-lattice $S=1/2$ quantum spin system, the $J$-$Q$ model with a 6-spin interaction $Q$ supplementing the Heisenberg exchange $J$. In the absence of disorder the system hosts…

Strongly Correlated Electrons · Physics 2018-12-11 Lu Liu , Hui Shao , Yu-Cheng Lin , Wenan Guo , Anders W. Sandvik

We study a Heisenberg S=1/2 ring-exchange antiferromagnet which exhibits a quantum phase transition from a spontaneously dimerized (valence bond solid) phase to a magnetically ordered (Neel) phase. We argue that the quantum transition is of…

Strongly Correlated Electrons · Physics 2007-05-23 Valeri N. Kotov , D. X. Yao , A. H. Castro Neto , D. K. Campbell

We consider the dimerized spin-1/2 Heisenberg chain with spin hexameric distortion of the exchange pattern and study the zero-temperature phase diagram in the parameter space $(J_{1}, J_{2}, J_{3})$ by continuum-limit bosonization approach…

Strongly Correlated Electrons · Physics 2014-05-06 Mahboobeh Shahri Naseri , George I. Japaridze , Saeed Mahdavifar , Saber Farjami Shayesteh
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