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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…

Strongly Correlated Electrons · Physics 2011-04-26 Ling Wang , K. S. D. Beach , Anders W. Sandvik

We present a 13C-NMR study of the magnetic field driven transition to complete polarization of the S=1/2 antiferromagnetic Heisenberg chain system copper pyrazine dinitrate Cu(C_4H_4N_2)(NO_3)_2 (CuPzN). The static local magnetization as…

Strongly Correlated Electrons · Physics 2009-08-13 H. Kuehne , H. -H. Klauss , S. Grossjohann , W. Brenig , F. J. Litterst , A. P. Reyes , P. L. Kuhns , M. M. Turnbull , C. P. Landee

We analyze the Hertz-Moriya-Millis theory of an antiferromagnetic quantum critical point, in the marginal case of two dimensions (d=2,z=2). Up to next-to-leading order in the number of components (N) of the field, we find that logarithmic…

Strongly Correlated Electrons · Physics 2009-11-10 Sergey Pankov , Serge Florens , Antoine Georges , Gabriel Kotliar , Subir Sachdev

We describe the quantum phase transitions in the ferromagnetic Dicke-Ising model using a Landau theory approach. The theory quantitatively captures the change from a second- to a first-order transition between the normal and superradiant…

Strongly Correlated Electrons · Physics 2026-05-28 Jan Alexander Koziol

We characterize, by means of large-scale fermion quantum Monte Carlo simulations, metallic and deconfined quantum phase transitions in a bilayer honeycomb model in terms of their quantum critical and finite-temperature properties.The model…

Strongly Correlated Electrons · Physics 2024-09-17 Zi Hong Liu , Matthias Vojta , Fakher F. Assaad , Lukas Janssen

Diagrammatic Monte Carlo -- the technique for numerically exact summation of all Feynman diagrams to high orders -- offers a unique unbiased probe of continuous phase transitions. Being formulated directly in the thermodynamic limit, the…

Strongly Correlated Electrons · Physics 2022-09-07 Connor Lenihan , Aaram J. Kim , Fedor Šimkovic IV. , Evgeny Kozik

Progress in the understanding of quantum critical properties of itinerant electrons has been hindered by the lack of effective models which are amenable to controlled analytical and numerically exact calculations. Here we establish that the…

Disordered Systems and Neural Networks · Physics 2016-02-02 J. H. Pixley , Pallab Goswami , S. Das Sarma

Quantum electrodynamics in $2+1$ dimensions (QED$_3$) has been proposed as a critical field theory describing the low-energy effective theory of a putative algebraic Dirac spin liquid or of quantum phase transitions in two-dimensional…

Strongly Correlated Electrons · Physics 2024-07-04 Alexander Wietek , Sylvain Capponi , Andreas M. Läuchli

Finite size scaling for a first order phase transition where a continuous symmetry is broken is developed using an approximation of Gaussian probability distributions with a phenomenological "degeneracy" factor included. Predictions are…

Computational Physics · Physics 2019-03-27 Jiahao Xu , Shan-Ho Tsai , D. P. Landau , K. Binder

In this paper, we explore the differences between classical logarithmic fidelity and quantum fidelity. The classical logarithmic fidelity is found to be always extensive while the quantum one manifests distinct size dependence in different…

Statistical Mechanics · Physics 2016-12-23 Ching-Yee Leung , Ho-Man Kwok , Shi-Jian Gu , Hai-Qing Lin

Phase transitions in isotropic quantum antiferromagnets are described by an O(3) nonlinear quantum field theory. In three dimensions, the fundamental property of this theory is logarithmic scaling of the coupling constant. At the quantum…

Strongly Correlated Electrons · Physics 2015-12-09 Harley Scammell , Oleg Sushkov

We consider the finite-temperature phase diagram of the $S = 1/2$ frustrated Heisenberg bilayer. Although this two-dimensional system may show magnetic order only at zero temperature, we demonstrate the presence of a line of…

Strongly Correlated Electrons · Physics 2018-09-20 Jonas Stapmanns , Philippe Corboz , Frederic Mila , Andreas Honecker , Bruce Normand , Stefan Wessel

Puzzled by the indication of a new critical theory for the spin-1/2 Heisenberg model with a spatially staggered anisotropy on the square lattice as suggested in \cite{Wenzel08}, we re-investigate the phase transition of this model induced…

Strongly Correlated Electrons · Physics 2009-11-04 F. -J. Jiang

The spin-1/2 antiferromagnetic Heisenberg systems are studied on three typical diamond-type hierarchical lattices (systems A, B and C) with fractal dimensions 1.63, 2 and 2.58, respectively, and the phase diagrams, critical phenomena and…

Statistical Mechanics · Physics 2021-07-13 Pan-Pan Zhang , Zhong-Yang Gao , Yu-Liang Xu , Chun-Yang Wang , Xiang-Mu Kong

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

Recent advances in boundary critical phenomena have led to the discovery of a new surface universality class in the three-dimensional $O(N)$ model. The newly found ``extraordinary-log" phase can be realized on a two-dimensional surface for…

Statistical Mechanics · Physics 2025-04-17 Francesco Parisen Toldin , Abijith Krishnan , Max A. Metlitski

Quantum phase transitions have captured the interest of a large community in condensed-matter and atom physics research. The common feature of these very different material classes lies in the fact that the competition between low-energy…

Strongly Correlated Electrons · Physics 2014-02-19 V. Fritsch , N. Bagrets , G. Goll , W. Kittler , M. J. Wolf , K. Grube , C. -L. Huang , H. v. Löhneysen

Using novel instrumentation to combine extreme conditions of intense pulsed magnetic field up to 60~T and high pressure up to 4~GPa, we have established the three-dimensional (3D) magnetic field - pressure - temperature phase diagram of a…

Strongly Correlated Electrons · Physics 2017-01-17 W. Knafo , R. Settai , D. Braithwaite , S. Kurahashi , D. Aoki , J. Flouquet

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

Deconfined quantum criticality (DQC) arises from fractionalization of quasi-particles and leads to fascinating behaviors beyond the Landau-Ginzburg-Wilson description of phase transitions. Here, we study the critical dynamics when driving a…

Strongly Correlated Electrons · Physics 2025-04-15 Yu-Rong Shu , Shao-Kai Jian , Anders W. Sandvik , Shuai Yin
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