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We use quantum Monte Carlo simulations to study effects of free edges in the two-dimensional spin-1/2 Heisenberg antiferromagnet. We find that the magnetic response of an edge is smaller than the bulk susceptibility. This counter-intuitive…

Strongly Correlated Electrons · Physics 2010-10-13 Kaj H. Hoglund , Anders W. Sandvik

We study the nature of edge states in extrinsically and spontaneously dimerized states of two-dimensional spin-1/2 antiferromagnets, by performing quantum Monte Carlo simulation. We show that a gapless edge mode emerges in the wide region…

Strongly Correlated Electrons · Physics 2012-12-20 Takafumi Suzuki , Masahiro Sato

We use a quantum Monte Carlo method (stochastic series expansion) to study the effects of a magnetic or nonmagnetic impurity on the magnetic susceptibility of the two-dimensional Heisenberg antiferromagnet. At low temperatures, we find a…

Strongly Correlated Electrons · Physics 2009-11-10 Kaj H. Hoglund , Anders W. Sandvik

We analyze quantum Monte Carlo data in the vicinity of the quantum transition between a Neel state and a quantum paramagnet in a two-layer, square lattice spin 1/2 Heisenberg antiferromagnet. The real-space correlation function and the…

Condensed Matter · Physics 2016-08-31 Anders W. Sandvik , Andrey V. Chubukov , Subir Sachdev

The spin texture surrounding a non-magnetic impurity in a quantum antiferromagnet is a sensitive probe of the novel physics of a class of quantum phase transitions between a Neel ordered phase and a valence bond solid phase in square…

Strongly Correlated Electrons · Physics 2013-12-24 Argha Banerjee , Kedar Damle , Fabien Alet

The double-layer Heisenberg antiferromagnet with intra- and inter-layer couplings $J$ and $J_\perp$ exhibits a zero temperature quantum phase transition between a quantum disordered dimer phase for $g>g_c$ and a Neel phase with long range…

Superconductivity · Physics 2009-10-31 P. V. Shevchenko , A. W. Sandvik , O. P. Sushkov

We revisit the problem of a single quantum impurity on the edge of a two-dimensional time-reversal invariant topological insulator and show that the zero temperature phase diagram contains a large local moment region for antiferromagnetic…

Strongly Correlated Electrons · Physics 2012-06-14 Joseph Maciejko

We study a quantum impurity coupled to the edge states of a two-dimensional helical topological superconductor, i.e., to a pair of counterpropagating Majorana fermion edge channels with opposite spin polarizations. For an impurity described…

Strongly Correlated Electrons · Physics 2011-11-15 Rok Zitko , Pascal Simon

We propose an effective two-dimensional quantum non-linear sigma model combined with classical percolation theory to study the magnetic properties of site diluted layered quantum antiferromagnets like La$_{2}$Cu$_{1-x}$M$_x$O$_{4}$ (M$=$Zn,…

Disordered Systems and Neural Networks · Physics 2009-10-31 Y. C. Chen , A. H. Castro Neto

We present a new formulation of the theory of an arbitrary quantum impurity in an antiferromagnet, using the O(3) non-linear sigma model. We obtain the low temperature expansion for the impurity spin susceptibilities of antiferromagnets…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Matthias Vojta

We present a comprehensive analysis of boundary phenomena in a spin-$\frac{1}{2}$ anisotropic Heisenberg chain (XXZ-$\frac{1}{2}$) in the gapped antiferromagnetic phase, with a particular focus on the interplay between fractionalized…

Strongly Correlated Electrons · Physics 2025-06-05 Pradip Kattel , Parameshwar R. Pasnoori , J. H. Pixley , Natan Andrei

We derive a lattice $\beta$-function for the 2d-Antiferromagnetic Heisenberg model, which allows the lattice interaction couplings of the nonperturbative Quantum Monte Carlo vacuum to be related directly to the zero-temperature fixed points…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 P. R. Crompton

We study the impurity-induced phase transitions in a quasi-one-dimensional Heisenberg antiferromagnet doped with magnetic spin-1/2 impurities and non-magnetic ones. The impurity-induced transition temperature determined by the quantum Monte…

Strongly Correlated Electrons · Physics 2015-06-25 Munehisa Matsumoto , Hajime Takayama

We study the impurity physics at a continuous quantum phase transition from an SU(3) symmetric N\'eel ordered state to a valence bond solid state that breaks lattice symmetries, using quantum Monte Carlo techniques. This continuous…

Strongly Correlated Electrons · Physics 2013-12-24 Argha Banerjee , Kedar Damle , Fabien Alet

We simulate the three-dimensional quantum Heisenberg model with a spatially anisotropic ladder pattern using the first principles Monte Carlo method. Our motivation is to investigate quantitatively the newly established universal relation…

Strongly Correlated Electrons · Physics 2015-06-16 M. -T. Kao , F. -J. Jiang

In order to investigate the effects of nonmagnetic impurities in strongly correlated systems, Quantum Monte Carlo (QMC) simulations have been carried out for the doped two-dimensional Hubbard model with one nonmagnetic impurity. Using a…

Strongly Correlated Electrons · Physics 2009-11-10 N. Bulut

We study dilute magnetic impurities and vacancies in two-dimensional frustrated magnets with non-collinear order. Taking the triangular-lattice Heisenberg model as an example, we use quasiclassical methods to determine the impurity…

Strongly Correlated Electrons · Physics 2011-09-22 Alexander Wollny , Lars Fritz , Matthias Vojta

An extensive Monte Carlo study of the classical Heisenberg model on a simple cubic lattice with antiferromagnetic exchange interactions $J_n$ between the first, second, and third neighbors is performed in a broad region of $J_2 / J_1$, $J_3…

Strongly Correlated Electrons · Physics 2026-02-26 A. N. Ignatenko , S. V. Streltsov , V. Yu. Irkhin

The quantum Heisenberg antiferromagnet on the stacked triangular lattice with the intralayer nearest-neighbor exchange interaction J and interlayer exchange J' is considered within the non-linear $\sigma$-model with the use of the…

Statistical Mechanics · Physics 2011-03-30 A. N. Ignatenko , V. Yu. Irkhin , A. A. Katanin

A Monte Carlo method for finite-temperature studies of the two-dimensional quantum Heisenberg antiferromagnet with random ferromagnetic bonds is presented. The scheme is based on an approximation which allows for an analytic summation over…

Condensed Matter · Physics 2009-10-22 A. Sandvik
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