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The Neumann--Zagier matrices of an ideal triangulation are integer matrices with symplectic properties whose entries encode the number of tetrahedra that wind around each edge of the triangulation. They can be used as input data for the…

Geometric Topology · Mathematics 2023-11-09 Stavros Garoufalidis , Seokbeom Yoon

We present a simple analysis that allows us to extract the leading mass dependence of the dipole moment of matter fermions that might be induced by new physics. We present explicit results for the supersymmetric model with broken R-parity…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. M. Godbole , S. Pakvasa , S. D. Rindani , X. Tata

On various regular lattices (simple cubic, body centred cubic..) decorating an edge with an Ising spin coupled by bonds of strength L to the original vertex spins and competing with a direct anti-ferromagnetic bond of strength alpha L can…

Statistical Mechanics · Physics 2007-05-23 D. A. Johnston , R. P. K. C. Malmini

Heat bath Monte Carlo simulations have been used to study a four-state clock model with a type of random field on simple cubic lattices. The model has the standard nonrandom two-spin exchange term with coupling energy $J$ and a random field…

Disordered Systems and Neural Networks · Physics 2009-11-07 Ronald Fisch

We show that resonant dipole-dipole interactions between Rydberg atoms in a triangular lattice can give rise to artificial magnetic fields for spin excitations. We consider the coherent dipole-dipole coupling between $np$ and $ns$ Rydberg…

Atomic Physics · Physics 2017-01-17 Martin Kiffner , Edward O'Brien , Dieter Jaksch

Pure gauge theories can be formulated in terms of Wilson Loops correlators by means of the loop equation. In the large-N limit this equation closes in the expectation value of single loops. In particular, using the lattice as a regulator,…

High Energy Physics - Theory · Physics 2017-08-23 Peter D. Anderson , Martin Kruczenski

We study a general class of easy-axis spin models on a lattice of corner sharing even-sided polygons with all-to-all interactions within a plaquette. The low energy description corresponds to a quantum dimer model on a dual lattice of even…

Strongly Correlated Electrons · Physics 2022-11-30 Shankar Balasubramanian , Victor Galitski , Ashvin Vishwanath

Let $D$ be an oriented classical or virtual link diagram with directed universe $\vec{U}$. Let $C$ denote a set of directed Euler circuits, one in each connected component of $U$. There is then an associated looped interlacement graph…

Geometric Topology · Mathematics 2009-03-04 Lorenzo Traldi

The low-energy theory of electrons interacting via repulsive short-range interactions on graphene's honeycomb lattice at half filling is presented. The exact symmetry of the Lagrangian with local quartic terms for the Dirac field dictated…

Strongly Correlated Electrons · Physics 2009-05-20 Igor F. Herbut , Vladimir Juricic , Bitan Roy

A family of mixed finite elements is proposed for solving the first order system of linear elasticity equations in any space dimension, where the stress field is approximated by symmetric finite element tensors. This family of elements has…

Numerical Analysis · Mathematics 2013-04-22 Jun Hu , Hongying Man , Shangyou Zhang

Ratchets are devices able to rectify an otherwise oscillatory behavior by exploiting an asymmetry of the system. In rocking ratchets the asymmetry is induced through a proper choice of external forces and modulations of nonlinear symmetric…

Pattern Formation and Solitons · Physics 2014-02-25 José A. Cuesta , Niurka R. Quintero , Renato Alvarez-Nodarse

It has been recently established that heterogeneous bootstrap percolation and related dynamic facilitation models exhibit a complex hierarchy of continuous and discontinuous transitions depending on lattice connectivity and kinetic…

Statistical Mechanics · Physics 2015-06-12 Mauro Sellitto

The $M$-dimensional scattering matrix $S(E)$ which connects incoming to outgoing waves in a chaotic systyem is always unitary, but shows complicated dependence on the energy. This is partly encoded in correlators constructed from traces of…

Chaotic Dynamics · Physics 2022-05-02 Marcel Novaes

A mechanical system consisting of a rigid body and attached Kirchhoff plates under the action of three independent controls torques is considered. The equations of motion of such model are derived in the form of a system of coupled…

Optimization and Control · Mathematics 2019-02-08 Alexander Zuyev , Julia Novikova

Interactions between the different degrees of freedom form the basis of many manifestations of intriguing physics in condensed matter. In this respect, quantifying the dynamics of normal modes that themselves arise from these interactions…

Our charm program uses a mixed action with twisted-mass valence quarks over non-perturbatively improved Wilson sea quarks, in order to study various quantities in a relativistic and manifestly local framework of full QCD. The sea sector…

High Energy Physics - Lattice · Physics 2021-12-07 Julien Frison , Gregorio Herdoiza , Carlos Pena , Jose Angel Romero , Javier Ugarrio

We study repulsive Hubbard and t-J type systems on a square lattice (long believed to capture certain quintessential aspects of the high temperature superconductors). These models (alongside the parent compounds of the high temperature…

Strongly Correlated Electrons · Physics 2016-03-15 Marco Bosch , Zohar Nussinov

In this work we develop a simple equivalent circuit model (ECM) that predicts the spectral response of a lumped-element loaded single patterned layer reflective metasurface. The proposed ECM maintains accuracy across varying design…

The Boolean ring $B$ of measurable subsets of the unit interval, modulo sets of measure zero, has proper radical ideals (e.g., $\{0\})$ that are closed under the natural metric, but has no prime ideals closed under that metric; hence closed…

Rings and Algebras · Mathematics 2021-10-15 George M. Bergman

We argue that a simple way to bypass reflections at the boundaries of a finite Luttinger liquid (LL) connected to electrodes is to match load and drain impedances to the characteristic impedance of the LL viewed as a mesoscopic transmission…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. -V. Pham
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