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We study the critical behavior of the three-dimensional (3D) Gross-Neveu (GN) model with $N_f$ Dirac fermionic flavors and quartic interactions, at the chiral ${\mathbb Z}_2$ transition in the massless ${\mathbb Z}_2$-symmetric limit. For…

High Energy Physics - Lattice · Physics 2023-03-08 Claudio Bonati , Alessio Franchi , Andrea Pelissetto , Ettore Vicari

We continue our consideration of a class of models describing the reversible dynamics of $N$ Boolean variables, each with $K$ inputs. We investigate in detail the behavior of the Hamming distance as well as of the distribution of orbit…

Disordered Systems and Neural Networks · Physics 2016-08-31 S. N. Coppersmith , Leo P. Kadanoff , Zhitong Zhang

We construct a qubit regularization of the $O(3)$ non-linear sigma model in two and three spatial dimensions using a quantum Hamiltonian with two qubits per lattice site. Using a worldline formulation and worm algorithms, we show that in…

High Energy Physics - Lattice · Physics 2019-09-25 Hersh Singh , Shailesh Chandrasekharan

Quantum walks, both discrete (coined) and continuous time, form the basis of several quantum algorithms and have been used to model processes such as transport in spin chains and quantum chemistry. The enhanced spreading and mixing…

Quantum Physics · Physics 2010-12-10 Godfrey Leung , Paul Knott , Joe Bailey , Viv Kendon

We study critical behavior in the classical cubic dimer model (CDM) in the presence of a finite density of monomers. With attractive interactions between parallel dimers, the monomer-free CDM exhibits an unconventional transition from a…

Statistical Mechanics · Physics 2014-01-14 G. J. Sreejith , Stephen Powell

We investigate numerically the integer quantum Hall effect (IQHE) in a two-dimensional square lattice with non-interacting electrons subjected to disorder and uniform magnetic field in a direction perpendicular to the lattice plane. We…

Mesoscale and Nanoscale Physics · Physics 2012-09-07 Paramita Dutta , Santanu K. Maiti , S. N. Karmakar

The fate of the current carrying states of a quantum Hall system is considered in the situation when the disorder strength is increased and the transition from the quantum Hall liquid to the Hall insulator takes place. We investigate a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Th. Koschny , L. Schweitzer

In contrast to the first-order correlation-driven Mott metal-insulator transition (MIT), contin- uous disorder-driven transitions are intrinsically quantum critical. Here, we investigate transport quantum criticality in the Falicov-Kimball…

Strongly Correlated Electrons · Physics 2017-09-21 P. Haldar , M. S. Laad , S. R. Hassan

CeRhSn is a valence fluctuating heavy-fermion metal with a twisted Ce-kagome lattice, displaying zero-field quantum criticality, previously associated with geometrical frustration. The partial substitution of Rh by Pd in…

Strongly Correlated Electrons · Physics 2025-09-23 Nan Tang , Rajesh Tripathi , Yasuyuki Shimura , Toshiro Takabatake , Devashibhai A. Adroja , Philipp Gegenwart

Taking cue from the recent experimental realization of metallic phases in Kagome materials we report the low temperature signatures and thermal scales of Kagome metals and insulators, determined in the framework of the Kagome Hubbard model,…

Strongly Correlated Electrons · Physics 2024-04-10 Shashikant Singh Kunwar , Madhuparna Karmakar

We deliver the realistic ab initio lattice investigations of $K \overline{K}$ scattering. In the Asqtad-improved staggered dynamical fermion formulation, we carefully measure $K\overline{K}$ four-point function in the $I=0$ channel by…

High Energy Physics - Lattice · Physics 2013-12-30 Ziwen Fu

The quantum Hall effect is one of the most extensively studied topological effects in solid state physics. The transitions between different quantum Hall states exhibit critical phenomena described by universal critical exponents. Numerous…

Disordered Systems and Neural Networks · Physics 2023-04-14 Keith Slevin , Tomi Ohtsuki

We study the effects of non-hermitian perturbation on a quantum kicked model exhibiting a localization transition. Using an exact renormalization scheme, we show that the critical line separating the extended and localized phases approaches…

Disordered Systems and Neural Networks · Physics 2009-11-07 Indubala I satija , Arjendu Pattanayak

The supersymmetric reformulation of physical observables in the Chalker-Coddington model (CC) for the plateau transition in the integer quantum Hall effect leads to a reformulation of its critical properties in terms of a 2D non-compact…

Statistical Mechanics · Physics 2019-03-27 Romain Couvreur , Eric Vernier , Jesper Lykke Jacobsen , Hubert Saleur

Based on first-principles calculations, we predict that nitrogen atoms can assemble into a single-layer double kagome lattice (DKL), which possesses the characteristics of an intrinsic direct band gap semiconductor, boasting a substantial…

Materials Science · Physics 2023-11-02 Wenzhang Li , Qin He , Xiao-Ping Li , Da-Shuai Ma , Botao Fu

In this paper we shall study quantum critical behavior of lattice model of unconventional superconductors (SC) that was proposed in the previous papers. In this model, the Cooper-pair (CP) field is defined on lattice links in order to…

Superconductivity · Physics 2014-11-18 Kenji Sawamura , Ikuo Ichinose , Yuki Moribe

We consider models for the plateau transition in the integer quantum Hall effect. Starting from the network model, we construct a mapping to the Dirac Hamiltonian in two dimensions. In the general case, the Dirac Hamiltonian has randomness…

Condensed Matter · Physics 2011-08-05 C. -M. Ho , J. T. Chalker

We investigate the phase diagram and critical behavior of a three-dimensional lattice CP(N-1) model in the large-N limit. Numerical evidence of first-order transitions is always observed for sufficiently large values of N, i.e. N>2 up to…

Statistical Mechanics · Physics 2020-04-22 Andrea Pelissetto , Ettore Vicari

For classical discrete systems under constant composition (typically reffered to as substitutional alloys), canonical average can act as a map from a set of many-body interatomic interactions to that of configuration in thermodynamic…

Statistical Mechanics · Physics 2025-08-27 Koretaka Yuge , Ikumi Nishihara

We study characteristic band structures of the fermions on a square kagome lattice, one of the two-dimensional lattices hosting a corner-sharing network of triangles. We show that the band structures of the nearest-neighbor tight-binding…

Mesoscale and Nanoscale Physics · Physics 2021-08-05 Tomonari Mizoguchi , Yoshihito Kuno , Yasuhiro Hatsugai
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