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The numerical value of a universal quantity associated with the quantum critical regime, namely $\chi_u c^2/T$, for a two-dimensional (2D) dimerized spin-1/2 antiferromagnet is calculated using the quantum Monte Carlo simulations (QMC).…

强关联电子 · 物理学 2022-10-27 Fu-Jiun Jiang

The quantum critical regime (QCR) of a two-dimensional (2D) disordered and a 2D clean dimerized spin-$\frac{1}{2}$ Heisenberg models are studied using the first principles nonperturbative quantum Monte Carlo simulations (QMC). In…

强关联电子 · 物理学 2018-12-19 D. -R. Tan , F. -J. Jiang

Antiferromagnetic Heisenberg spin chains with various spin values ($S=1/2,1,3/2,2,5/2$) are studied numerically with the quantum Monte Carlo method. Effective spin $S$ chains are realized by ferromagnetically coupling $n=2S$…

强关联电子 · 物理学 2009-10-30 Y. J. Kim , M. Greven , U. -J. Wiese , R. J. Birgeneau

We simulate the three-dimensional quantum Heisenberg model with a spatially anisotropic ladder pattern using the first principles Monte Carlo method. Our motivation is to investigate quantitatively the newly established universal relation…

强关联电子 · 物理学 2015-06-16 M. -T. Kao , F. -J. Jiang

A key component of the phase diagram of many iron-based superconductors and electron-doped cuprates is believed to be a quantum critical point (QCP), delineating the onset of antiferromagnetic spin-density wave order in a…

强关联电子 · 物理学 2023-05-10 Peter Lunts , Michael S. Albergo , Michael Lindsey

The Gr\"uneisen ratio, defined as $\Gamma_g \equiv (1/T) (\partial T/\partial g)_S$, serves as a highly sensitive probe for detecting quantum critical points (QCPs) driven by an external feild $g$ and for characterizing the magnetocaloric…

强关联电子 · 物理学 2025-09-23 Xuan Zhou , Enze Lv , Wei Li , Yang Qi

We use quantum Monte Carlo (stochastic series expansion) and finite-size scaling to study the quantum critical points of two S=1/2 Heisenberg antiferromagnets in two dimensions: a bilayer and a Kondo-lattice-like system (incomplete…

强关联电子 · 物理学 2011-04-26 Ling Wang , K. S. D. Beach , Anders W. Sandvik

Although the leading-order scaling of entanglement entropy is non-universal at a quantum critical point (QCP), sub-leading scaling can contain universal behaviour. Such universal quantities are commonly studied in non-interacting field…

强关联电子 · 物理学 2013-10-08 Stephen Inglis , Roger G. Melko

A comprehensive study of the two-dimensional (2D) compass model on the square lattice is performed for classical and quantum spin degrees of freedom using Monte Carlo and quantum Monte Carlo methods. We employ state-of-the-art…

统计力学 · 物理学 2008-09-05 Sandro Wenzel , Wolfhard Janke

A two-leg quenched random bond disordered antiferromagnetic spin$-1/2$ Heisenberg ladder system is investigated by means of stochastic series expansion (SSE) quantum Monte Carlo (QMC) method. Thermal properties of the uniform and staggered…

强关联电子 · 物理学 2020-10-28 Ulvi Kanbur , Hamza Polat , Erol Vatansever

We simulate the spin-1/2 Heisenberg model with a spatially staggered anisotropy using first principles Monte Carlo method. In particular, the critical exponents $\beta/\nu$ and $\omega$ associated with the quantum phase transition induced…

强关联电子 · 物理学 2013-07-24 F. -J. Jiang

The critical properties of the antiferromagnetic Heisenberg model on the three-dimensional stacked-triangular lattice are studied by means of a large-scale Monte Carlo simulation in order to get insight into the controversial issue of the…

强关联电子 · 物理学 2020-01-08 Yoshihiro Nagano , Kazuki Uematsu , Hikaru Kawamura

We present a Monte Carlo study of the two-component $\phi^4$ model on the simple cubic lattice in three dimensions. By suitable tuning of the coupling constant $\lambda$ we eliminate leading order corrections to scaling. High statistics…

统计力学 · 物理学 2009-10-31 M. Hasenbusch , T. Toeroek

A generalization to the quantum case of a recently introduced algorithm (Y. Tomita and Y. Okabe, Phys. Rev. Lett. {\bf 86}, 572 (2001)) for the determination of the critical temperature of classical spin models is proposed. We describe a…

强关联电子 · 物理学 2009-11-07 F. Alet , E. Sorensen

With Monte Carlo simulations, we investigate short-time critical dynamics of the three-dimensional anti-ferromagnetic Ising model with a globally conserved magnetization $m_s$ (not the order parameter). From the power law behavior of the…

统计力学 · 物理学 2009-11-07 B. Zheng , H. J. Luo

Recent experiments show that double layer quantum Hall systems may have a ground state with canted antiferromagnetic order. In the experimentally accessible vicinity of a quantum critical point, the order vanishes at a temperature T_{KT} =…

强关联电子 · 物理学 2016-08-31 Matthias Troyer , Subir Sachdev

Monte Carlo simulations are performed for the S = 1/2 XY and ferro- and antiferromagnetic Heisenberg model in two dimensions using the loop algorithm. Thermodynamic properties of all these models are investigated in wide temperature range.…

统计力学 · 物理学 2013-02-07 A. K. Murtazaev , M. A. Magomedov

Motivated by the unexpected Monte Carlo results as well as the theoretical proposal of a large correction to scaling for the critical theory of the 2-d staggered-dimer spin-1/2 Heisenberg model on the square lattice, we study the phase…

强关联电子 · 物理学 2012-06-19 M. -T. Kao , D. -J. Tan , F. -J. Jiang

We propose a new efficient scheme for the quantum Monte Carlo study of quantum critical phenomena in quantum spin systems. Rieger and Young's Trotter-number-dependent finite-size scaling in quantum spin systems and Ito {\it et al.}'s…

统计力学 · 物理学 2009-10-31 Yoshihiko Nonomura

In a number of classical statistical-physical models, there exists a characteristic dimensionality called the upper critical dimension above which one observes the mean-field critical behavior. Instead of constructing high-dimensional…

统计力学 · 物理学 2011-11-24 Seung Ki Baek , Jaegon Um , Su Do Yi , Beom Jun Kim
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