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Article
Mechanics
Youjin Deng et al.
Summary: In this study, we examine the unwrapped two-point functions of the Ising model, the self-avoiding walk (SAW), and a random-length loop-erased random walk on high-dimensional lattices with periodic boundary conditions. We find that the unwrapped two-point functions display standard mean-field behavior, in contrast to the anomalous plateau behavior observed in the standard two-point functions. Furthermore, we propose that the asymptotic behavior of these unwrapped two-point functions on the torus can be understood in terms of the standard two-point function of a random-length random walk model on Z(d). A precise description of the asymptotic behavior of the latter is derived. Lastly, we investigate the Ising walk length and numerically show that the Ising and SAW walk lengths on high-dimensional tori exhibit the same universal behavior as the SAW walk length on a complete graph.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2022)
Article
Physics, Multidisciplinary
Francesco Parisen Toldin et al.
Summary: It has been recently discovered that the three-dimensional O(N) model exhibits an extraordinary boundary universality class for a finite range of N >= 2. The existence and universal properties of this class for a given N are predicted to be controlled by certain amplitudes of the normal universality class, where a symmetry-breaking field is applied to the boundary. In this study, we investigate the normal universality class for N = 2, 3 through Monte Carlo simulations on an improved lattice model and extract these universal amplitudes. Our results agree well with direct Monte Carlo studies of the extraordinary universality class, providing a nontrivial quantitative confirmation of the relationship between the normal and extraordinary classes.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Max A. Metlitski
Summary: The properties of the classical O(N) model in dimension d > 3 are known, while the properties of the extra-ordinary and special cases in dimension d = 3 are still unclear. Through our study, we found that the extra-ordinary properties exist in a modified form in dimension d = 3, while the special properties no longer exist. Furthermore, our findings are consistent with recent Monte Carlo studies and have been compared to numerical studies of quantum spin models in 2+1 dimensions.
Article
Physics, Multidisciplinary
Xue-Jia Yu et al.
Summary: Some quantum critical states cannot be smoothly deformed into each other without either crossing multicritical points or explicitly breaking certain symmetries, even if they belong to the same universality class. This leads to the concept of symmetry-enriched quantum criticality. In this study, we propose that the conformal boundary condition (B.C.) is a more generic characteristic of such quantum critical states. We demonstrate in two families of quantum spin chains that the quantum critical point between a symmetry-protected topological phase and a symmetry-breaking order realizes a conformal B.C. distinct from the simple Ising and Potts chains. Furthermore, we argue that the conformal B.C. can be derived from the bulk effective field theory, which presents a novel bulk-boundary correspondence in symmetry-enriched quantum critical states.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Jaychandran Padayasi et al.
Summary: This paper studies the critical behavior of the 3d classical O(N) model with a boundary. A new extraordinary-log boundary universality class is discovered and the critical value N-c is determined using numerical conformal bootstrap and semi-definite programming.
Article
Materials Science, Multidisciplinary
Yanan Sun et al.
Summary: This study investigates the surface critical behavior at an emergent superfluid-Mott insulator critical point using worm Monte Carlo simulations. The results provide evidence for special transitions and extraordinary-log universality in the system.
Article
Materials Science, Multidisciplinary
Xuan Zou et al.
Summary: Using Monte Carlo simulations and finite-size scaling analysis, it has been shown that the q-state clock model with q = 6 on a simple cubic lattice with open surfaces has a rich phase diagram, including an extraordinary-log phase. Numerical evidence indicates that the emergence of an O(2) symmetry in the surface state before the surface enters the Z(q) symmetry-breaking region is responsible for the presence of the intermediate extraordinary-log phase.
Article
Materials Science, Multidisciplinary
Li-Ru Zhang et al.
Summary: In this study, we investigated the surface critical behaviors of the three-state antiferromagnetic Potts model on the simple-cubic lattice. We found a phase diagram similar to the XY model when tuning the nearest-neighboring interactions of the surface. The surface correlation function in the extraordinary-log phase showed logarithmic decay, while the correlation function in the perpendicular direction exhibited algebraic decay with critical exponent eta. We also observed interesting scaling behaviors and two transition points when adding ferromagnetic next-nearest-neighboring surface interactions.
Article
Multidisciplinary Sciences
Jian-Ping Lv et al.
Summary: The study focuses on the logarithmic finite-size scaling of the O(n) universality class at the upper critical dimensionality, establishing an explicit scaling form for the free-energy density and conjecturing a two-length behavior for the critical two-point correlation function. Extensive Monte Carlo simulations provide evidence for these predictions, which have practical applications in experimental systems.
NATIONAL SCIENCE REVIEW
(2021)
Article
Physics, Multidisciplinary
Chao-Ming Jian et al.
Summary: This study examines the edge states at the 1d boundary of 2d strongly interacting symmetry protected topological (SPT) states, and reveals a direct transition between long range antiferromagnetic N?el order and the valence bond solid (VBS) order at the boundary when the bulk undergoes a disorder-order phase transition.
Article
Physics, Multidisciplinary
Francesco Parisen Toldin
Summary: The study reveals the existence of a special phase transition and an extraordinary phase with logarithmically decaying correlations in the presence of a bidimensional surface in the three-dimensional Heisenberg universality class. These findings help explain some recent puzzling results on the boundary critical behavior of quantum spin models.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Minghui Hu et al.
Summary: The concept of logarithmic universality presents a new model for describing critical phenomena, characterized by distinct features from the standard scenario. Monte Carlo simulations on the three-dimensional XY model provide strong evidence for the emergence of logarithmic universality. Discussions on finite-size scaling and critical exponent offer a new perspective on understanding critical universality.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Fluids & Plasmas
Sheng Fang et al.
Summary: The study focuses on the critical properties of the self-avoiding walk model in four spatial dimensions, obtaining a more precise critical fugacity and observing scaling behavior near the critical point, which includes terms from the Gaussian fixed point and multiplicative logarithmic corrections. The results provide strong support for the conjectured finite-size scaling form for the O(n) universality classes at 4D.
Article
Materials Science, Multidisciplinary
Shang Liu et al.
Summary: Studying the interplay between symmetry-protected topological phases and quantum critical points is crucial, involving the bulk dynamics of critical points described by nontrivial conformal field theories and SPT physics, which is important for understanding the fate of protected modes when encountering symmetry breaking at a quantum critical point.
Article
Materials Science, Multidisciplinary
Lukas Weber et al.
Summary: This passage discusses the strongly enhanced spin correlations of dangling edge spins in two-dimensional quantum critical antiferromagnets, as well as the differences from classical theory, particularly in the case of the columnar dimer model. The study also reveals stark differences in bond correlations between spin-1/2 and spin-1 cases, and compares the scaling dimensions to recent theoretical predictions. While the predictions partially align with numerical data, they cannot completely explain the findings, further constraining the understanding of dangling edge correlations and surface phenomena in strongly correlated quantum systems.
Article
Multidisciplinary Sciences
Bing Yang et al.
Review
Physics, Multidisciplinary
N. Andrei et al.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2020)
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Physics, Fluids & Plasmas
Jesus Salas
Article
Physics, Fluids & Plasmas
Sheng Fang et al.
Article
Physics, Multidisciplinary
David Poland et al.
REVIEWS OF MODERN PHYSICS
(2019)
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Materials Science, Multidisciplinary
Wanwan Xu et al.
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Lukas Weber et al.
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Chengxiang Ding et al.
PHYSICAL REVIEW LETTERS
(2018)
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Zongzheng Zhou et al.
PHYSICAL REVIEW LETTERS
(2018)
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Materials Science, Multidisciplinary
Lukas Weber et al.
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Materials Science, Multidisciplinary
Daniel E. Parker et al.
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Jens Grimm et al.
PHYSICAL REVIEW LETTERS
(2017)
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Long Zhang et al.
PHYSICAL REVIEW LETTERS
(2017)
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Emilio Flores-Sola et al.
PHYSICAL REVIEW LETTERS
(2016)
Review
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J. Michael Kosterlitz
REPORTS ON PROGRESS IN PHYSICS
(2016)
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Hui Shao et al.
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S. Baier et al.
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Matthew Wittmann et al.
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Jerome Dubail et al.
PHYSICAL REVIEW LETTERS
(2009)
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Optics
Barbara Capogrosso-Sansone et al.
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Youjin Deng
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YJ Deng et al.
Review
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M Pleimling
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
(2004)
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Physics, Fluids & Plasmas
P Grassberger
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Multidisciplinary Sciences
M Greiner et al.
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N Prokof'ev et al.
PHYSICAL REVIEW LETTERS
(2001)