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Percolation in a scale-free hierarchical network is solved exactly by renormalization-group theory, in terms of the different probabilities of short-range and long-range bonds. A phase of critical percolation, with algebraic…

Disordered Systems and Neural Networks · Physics 2009-12-14 A. Nihat Berker , Michael Hinczewski , Roland R. Netz

We study $q$-state clock models of regular and Villain types with $q=5,6$ using cluster-spin updates and observed double transitions in each model. We calculate the correlation ratio and size-dependent correlation length as quantities for…

Statistical Mechanics · Physics 2019-08-01 Tasrief Surungan , Shunsuke Masuda , Yukihiro Komura , Yutaka Okabe

We test an improved finite-size scaling method for reliably extracting the critical temperature $T_{\rm BKT}$ of a Berezinskii-Kosterlitz-Thouless (BKT) transition. Using known single-parameter logarithmic corrections to the spin stiffness…

Statistical Mechanics · Physics 2013-10-02 Yun-Da Hsieh , Ying-Jer Kao , A. W. Sandvik

We propose a scaling theory for the many-body localization (MBL) phase transition in one dimension, building on the idea that it proceeds via a 'quantum avalanche'. We argue that the critical properties can be captured at a coarse-grained…

Disordered Systems and Neural Networks · Physics 2019-03-27 Philipp T. Dumitrescu , Anna Goremykina , Siddharth A. Parameswaran , Maksym Serbyn , Romain Vasseur

We report the manifestation of field-induced Berezinskii-Kosterlitz-Thouless (BKT) correlations in the weakly coupled spin-1/2 Heisenberg layers of the molecular-based bulk material [Cu(pz)$_2$(2-HOpy)$_2$](PF$_6$)$_2$. Due to the moderate…

We study the properties of a D6-brane probe in the ABJM background with smeared massless dynamical quarks in the Veneziano limit. Working at zero temperature and non-vanishing charge density, we show that the system undergoes a quantum…

High Energy Physics - Theory · Physics 2016-07-13 Yago Bea , Niko Jokela , Alfonso V. Ramallo

We study strongly coupled ABJM theory on the 3-sphere with massive quenched flavor using the AdS/CFT correspondence. The holographic dual consists of type IIA supergravity with probe D6-branes. The flavor mass is a relevant deformation…

High Energy Physics - Theory · Physics 2022-03-24 Niko Jokela , Jani Kastikainen , Elias Kiritsis , Francesco Nitti

We perform large-scale, numerically exact calculations on the two-dimensional interacting Fermi gas with a contact attraction. Reaching much larger lattice sizes and lower temperatures than previously possible, we determine systematically…

Quantum Gases · Physics 2022-08-15 Yuan-Yao He , Hao Shi , Shiwei Zhang

The formation and migration of disconnections (line defects constrained to the grain boundary (GB) plane with both dislocation and step character) control many of the kinetic and dynamical properties of GBs and the polycrystalline materials…

Materials Science · Physics 2020-12-16 Kongtao Chen , David J. Srolovitz , Jian Han

We study superconductivity in the hadron-quark mixed phase of planar quantum chromodynamics (QCD) within the large $N$ limit of a Gross-Neveu model modified by a repulsive vector term. At high densities, the combination of scalar attraction…

High Energy Physics - Theory · Physics 2015-11-10 Laith H. Haddad

Assuming that two-component Fermi gases with opposite artificial magnetic fields on a square optical lattice are well-described by the so-called time-reversal-symmetric Hofstadter-Hubbard model, we explore the thermal superfluid properties…

Quantum Gases · Physics 2018-01-17 M. Iskin

We investigate the possibility that Bose-Einstein condensates (BECs), loaded on a 2D optical lattice, undergo - at finite temperature - a Berezinskii-Kosterlitz-Thouless (BKT) transition. We show that - in an experimentally attainable range…

Statistical Mechanics · Physics 2009-11-10 A. Trombettoni , A. Smerzi , P. Sodano

One of the hallmarks of the Berezinskii-Kosterlitz-Thouless (BKT) transition in two-dimensional (2D) superconductors is the universal jump of the superfluid density, that can be indirectly probed via the non-linear exponent of the…

We study Kosterlitz-Thouless (KT) transitions of the Larkin-Ovchinnikov (LO) phase for a two-dimensional system composed of coupled one-dimensional tubes of fermions. The LO phase here is characterized by a stripe structure (periodic in…

Quantum Gases · Physics 2011-03-14 Chungwei Lin , Xiaopeng Li , W. Vincent Liu

The occurrence of the Berezinskii-Kosterlitz-Thouless (BKT) transition is investigated in heavily boron-doped nanocrystalline diamond films through a combination of current-voltage and resistance measurements. We observe a robust BKT…

Superconductivity · Physics 2017-06-08 Christopher Coleman , Somnath Bhattacharyya

We propose scaling theories for Kosterlitz-Thouless (KT) phase transitions on the basis of the hallmark exponential growth of their correlation length. Finite-size scaling, finite-entanglement scaling, short-time critical dynamics, and…

Statistical Mechanics · Physics 2022-01-05 Zhiyao Zuo , Shuai Yin , Xuanmin Cao , Fan Zhong

Long-range and anisotropic dipolar interactions induce complex order in quantum systems. It becomes particularly interesting in two-dimension (2D), where the superfluidity with quasi-long-range order emerges via…

Quantum Gases · Physics 2025-10-14 Yifei He , Ziting Chen , Haoting Zhen , Mingchen Huang , Mithilesh K Parit , Gyu-Boong Jo

Recent studies of delocalization-localization transitions in disordered quantum chains have highlighted the role of rare, chain-breaking events that favor localization, in particular for high-energy eigenstates related to many-body…

Disordered Systems and Neural Networks · Physics 2025-12-11 Jeanne Colbois , Natalia Chepiga , Shaffique Adam , Gabriel Lemarié , Nicolas Laflorencie

We study the statistical mechanics of two-dimensional "super-Coulombic" plasmas, namely, neutral plasmas with power-law interactions longer-ranged than Coulomb. To that end, we employ numerically exact large-scale Monte Carlo simulations.…

Statistical Mechanics · Physics 2025-12-30 Ayush De , Leo Radzihovsky , Snir Gazit

The collective behavior of a many-body system near a continuous phase transition is insensitive to the details of its microscopic physics[1]. Characteristic features near the phase transition are that the thermodynamic observables follow…

Quantum Gases · Physics 2011-02-11 Chen-Lung Hung , Xibo Zhang , Nathan Gemelke , Cheng Chin