Concept

Integer lattice

Related publications (41)

A variational investigation of the SU(N) Heisenberg model in antisymmetric irreducible representations

Motivated by recent experimental progress in the context of ultra-cold multi-colour fermionic atoms in optical lattices, this thesis investigates the properties of the antiferromagnetic SU(N) Heisenberg models with fully antisymmetric irreducible represent ...

EPFL2016

Improved hardness results for unique shortest vector problem

Divesh Aggarwal

The unique shortest vector problem on a rational lattice is the problem of finding the shortest non-zero vector under the promise that it is unique (up to multiplication by -1). We give several incremental improvements on the known hardness of the unique s ...

Elsevier2016

Pressure induced evolution of superconductivity and magnetic hourglass dispersion in Fe1.02Te0.7Se0.3

Henrik Moodysson Rønnow, Diane Virginie Marie Lançon, Nikolay Tsyrulin

Iron based high temperature superconductors have several common features with superconducting cuprates, including the square lattice and the proximity to an antiferromagnetic phase. The magnetic excitation spectrum below T-c of Fe1.02Te0.7Se0.3 shows an ho ...

2015

Disjoint crossings, positive speed and deviation estimates for first passage percolation

Ghurumuruhan Ganesan

Consider bond percolation on the square lattice Z(2) where each edge is independently open with probability p : For some positive constants p(0) is an element of( 0; 1); epsilon(1) and epsilon(2); the following holds: if p > p(0); then with probability at ...

Univ Washington, Dept Mathematics2014

Mechanism of basal-plane antiferromagnetism in the spin-orbit driven iridate Ba2IrO4

Ioannis Rousochatzakis, Vamshi Mohan Katukuri

By ab initio many-body quantum chemistry calculations, we determine the strength of the symmetric anisotropy in the 5d5 j ~ 1/2 layered material Ba2IrO4. While the calculated anisotropic couplings come out in the range of a few meV, orders of magnitude str ...

2014

Exact Diagonalization of Heisenberg SU(N) Models

Frédéric Mila, Pierre Marcel Nataf

Building on advanced results on permutations, we show that it is possible to construct, for each irreducible representation of SU(N), an orthonormal basis labeled by the set of standard Young tableaux in which the matrix of the Heisenberg SU(N) model (the ...

2014

On the number of lattice points in a small sphere and a recursive lattice decoding algorithm

Annika Meyer

Let L be a lattice in . This paper provides two methods to obtain upper bounds on the number of points of L contained in a small sphere centered anywhere in . The first method is based on the observation that if the sphere is sufficiently small then the la ...

Springer US2013

Three-sublattice order in the SU(3) Heisenberg model on the square and triangular lattice

Frédéric Mila, Karlo Penc

We present a numerical study of the SU(3) Heisenberg model of three-flavor fermions on the triangular and square lattice by means of the density-matrix renormalization group and infinite projected entangled-pair states. For the triangular lattice we confir ...

2012

Competition between two- and three-sublattice ordering for S=1 spins on the square lattice

Frédéric Mila, Karlo Penc, Tamás András Tóth

We provide strong evidence that the S = 1 bilinear-biquadratic Heisenberg model with nearest-neighbor interactions on the square lattice possesses an extended three-sublattice phase induced by quantum fluctuations for sufficiently large biquadratic interac ...

2012

Semiclassical approach to ground-state properties of hard-core bosons in two dimensions

Frédéric Mila, Tommaso Coletta, Nicolas Laflorencie

Motivated by some inconsistencies in the way quantum fluctuations are included beyond the classical treatment of hard-core bosons on a lattice in the recent literature, we revisit the large-S semiclassical approach to hard-core bosons on the square lattice ...

2012

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.