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Quenched disorder - in the sense of the Harris criterion - is generally a relevant perturbation at an absorbing state phase transition point. Here using a strong disorder renormalization group framework and effective numerical methods we…

Statistical Mechanics · Physics 2009-11-10 Jef Hooyberghs , Ferenc Igloi , Carlo Vanderzande

Twisting symmetries provides an efficient method to diagnose symmetry-protected topological (SPT) phases. In this paper, edge theories of (2+1)-dimensional topological phases protected by reflection as well as other symmetries are studied…

Strongly Correlated Electrons · Physics 2015-06-03 Gil Young Cho , Chang-Tse Hsieh , Takahiro Morimoto , Shinsei Ryu

We introduce exactly solvable gapless quantum systems in $d$ dimensions that support symmetry protected topological (SPT) edge modes. Our construction leads to long-range entangled, critical points or phases that can be interpreted as…

Strongly Correlated Electrons · Physics 2017-12-08 Thomas Scaffidi , Daniel E. Parker , Romain Vasseur

Focusing on a two-field Swift-Hohenberg model with linear nonreciprocal interactions, this study investigates how emerging higher-codimension points act as organizing centers for the nonequilibrium phase diagram that features various steady…

Pattern Formation and Solitons · Physics 2026-02-05 Yuta Tateyama , Daniel Greve , Hiroaki Ito , Shigeyuki Komura , Hiroyuki Kitahata , Uwe Thiele

By means of quantum Monte Carlo simulations we study phase diagrams of dipolar bosons in a square optical lattice. The dipoles in the system are parallel to each other and their orientation can be fixed in any direction of the…

Quantum Gases · Physics 2022-06-15 Jin Zhang , Chao Zhang , Jin Yang , Barbara Capogrosso-Sansone

We build exactly solvable lattice Hamiltonians for fermionic symmetry-protected topological (SPT) phases in (3+1)D classified by group supercohomology. A central benefit of our construction is that it produces an explicit finite-depth…

Strongly Correlated Electrons · Physics 2021-01-26 Yu-An Chen , Tyler D. Ellison , Nathanan Tantivasadakarn

Adding energy to a system through transient stirring usually leads to more disorder. In contrast, point-like vortices in a bounded two-dimensional fluid are predicted to reorder above a certain energy, forming persistent vortex clusters.…

We investigate two complementary field-theoretical models describing the flat phase of polymerized - phantom - membranes by means of a two-loop, weak-coupling, perturbative approach performed near the upper critical dimension $D_{uc}=4$,…

Statistical Mechanics · Physics 2020-06-18 O. Coquand , D. Mouhanna , S. Teber

We present evidence for renormalization group fixed points with dual magnetic descriptions in fourteen new classes of four-dimensional $N=1$ supersymmetric models. Nine of these classes are chiral and many involve two or three gauge groups.…

High Energy Physics - Theory · Physics 2009-10-28 K. Intriligator , R. G. Leigh , M. J. Strassler

We set up an effective field theory formulation for the renormalization flow of matrix product states (MPS) with finite bond dimension, focusing on systems exhibiting finite-entanglement scaling close to a conformally invariant critical…

Statistical Mechanics · Physics 2025-04-30 Jan T. Schneider , Atsushi Ueda , Yifan Liu , Andreas M. Läuchli , Masaki Oshikawa , Luca Tagliacozzo

Symmetry fractionalization describes the fascinating phenomena that excitations in a 2D topological system can transform under symmetry in a fractional way. For example in fractional quantum Hall systems, excitations can carry fractional…

Strongly Correlated Electrons · Physics 2017-04-25 Xie Chen

We propose a new Real Space Renormalization Group transformation useful for Monte Carlo calculations in theories with global or local symmetries. From relaxation arguments we define the block-spin transformation with two tunable free…

High Energy Physics - Lattice · Physics 2011-07-19 L. A. Fernandez , Munoz Sudupe , J. J. Ruiz-Lorenzo , A. Tarancon

The Renormalization Group (RG) is one of the central and modern techniques in quantum field theory. Indeed, quantum field theories can be understood as flows between fixed points of the RG flow, which represent Conformal Field Theories…

High Energy Physics - Lattice · Physics 2021-12-09 José Matos

We are interested in analyzing the preservation of bifurcations in a class of piecewise smooth vector fields with a nonregular switching set under a smoothing process that approximates them by smooth vector fields. We examine cases in which…

Dynamical Systems · Mathematics 2026-02-05 Claudio A. Buzzi , Yagor Romano Carvalho

We consider the tilted-hexatic Hamiltonian on the fluctuating membranes. A renormalization-group analysis leads us to find two critical regions; one corresponds to the strong coupling regime of the gradient cross coupling, the other to the…

Soft Condensed Matter · Physics 2009-10-28 Jeong-Man Park

We investigate the formation of an infinite cluster of entangled threads in a (2+1)-dimensional system. We demonstrate that topological percolation belongs to the universality class of the standard 2D bond percolation. We compute the…

Statistical Mechanics · Physics 2007-05-23 S. K. Nechaev , O. A. Vasilyev

The square lattice with central forces between nearest neighbors is isostatic with a subextensive number of floppy modes. It can be made rigid by the random addition of next-nearest neighbor bonds. This constitutes a rigidity percolation…

Statistical Mechanics · Physics 2011-12-06 Wouter G. Ellenbroek , Xiaoming Mao

We propose and test a scheme for entanglement renormalization capable of addressing large two-dimensional quantum lattice systems. In a translationally invariant system, the cost of simulations grows only as the logarithm of the lattice…

Strongly Correlated Electrons · Physics 2013-05-29 Glen Evenbly , Guifre Vidal

The quantum renormalization group method is applied to study the quantum criticality and entanglement entropy of the ground state of the Ising chain in the presence of antisymmetric anisotropic couplings and alternating exchange…

Strongly Correlated Electrons · Physics 2012-08-09 Xiang Hao

We study the Kitaev spin ladder with random couplings by using the real-space renormalization group technique. This model is the minimum model in Kitaev systems that has conserved plaquette fluxes, and its quasi-one-dimensional geometry…

Strongly Correlated Electrons · Physics 2022-09-21 Wen-Han Kao , Natalia B. Perkins