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A theoretical description is presented for low-temperature magnetic-field induced three-dimensional (3D) ordering transitions in strongly anisotropic quantum antiferromagnets, consisting of weakly coupled antiferromagnetic spin-1/2 chains…

Strongly Correlated Electrons · Physics 2009-10-31 Stefan Wessel , Stephan Haas

Spin-1/2 antiferromagnetic triangular lattice models are paradigms of geometrical frustration, revealing very different ground states and quantum effects depending on the nature of anisotropies in the model. Due to strong spin orbit…

This work presents a method for studying low-energy physics in highly correlated magnetic systems using the matrix product state (MPS) manifold. We adapt the spin-wave approach, which has been very successful in modeling certain…

Quantum Physics · Physics 2024-10-31 Sebastian Leontica , Andrew G. Green

Spin wave theory is a key ingredient in our comprehension of quantum spin systems, and is used successfully for understanding a wide range of magnetic phenomena, including magnon condensation and stability of patterns in dipolar systems.…

Statistical Mechanics · Physics 2015-06-19 Michele Correggi , Alessandro Giuliani , Robert Seiringer

The versions of the self-consistent spin-wave theories (SSWT) of two-dimensional (2D) Heisenberg ferro- and antiferromagnets with a weak interlayer coupling and/or magnetic anisotropy, that are based on the non-linear Dyson-Maleev,…

Strongly Correlated Electrons · Physics 2011-07-22 V. Yu. Irkhin , A. A. Katanin , M. I. Katsnelson

We study the onset of spin-density wave order in itinerant electron systems via a two-dimensional lattice model amenable to numerically exact, sign-problem-free determinantal quantum Monte Carlo simulations. The finite-temperature phase…

Superconductivity · Physics 2016-08-29 Yoni Schattner , Max H. Gerlach , Simon Trebst , Erez Berg

We study by large-scale Monte Carlo simulation the $RP^3$ model, which can be regarded as an effective low-energy model of a triangular lattice Heisenberg antiferromagnet. $Z_2$ vortices appear as elementary excitations in the triangular…

Statistical Mechanics · Physics 2023-10-09 Tsuyoshi Okubo , Naoki Kawashima

We establish the nature of the supersolid phase observed for hardcore bosons on the triangular lattice near half-integer filling factor, and study the phase diagram of the system at finite temperature. We find that the solid order is always…

Statistical Mechanics · Physics 2009-11-11 Massimo Boninsegni , Nikolay Prokof'ev

The static and dynamics properties of finite-size lattice quantum spin models which spontaneously break a continuous $U(1)$ symmetry in the thermodynamic limit are of central importance for a wide variety of physical systems, from condensed…

Strongly Correlated Electrons · Physics 2023-12-25 Tommaso Roscilde , Tommaso Comparin , Fabio Mezzacapo

Machine learning algorithms thrive on large data sets of good quality. Here we show that they can also excel in a typical research setting with little data of limited quality, through an interplay of insights coming from machine, and human…

Strongly Correlated Electrons · Physics 2025-07-18 Nicolas Sadoune , Ke Liu , Han Yan , Ludovic D. C. Jaubert , Nic Shannon , Lode Pollet

We study the dynamical response of frustrated, quasi-one-dimensional spin-1/2 Heisenberg antiferromagnets at finite temperatures. We allow for the presence of a Dzyaloshinskii-Moriya interaction. We concentrate on a model of weakly coupled…

Strongly Correlated Electrons · Physics 2009-11-07 Marc Bocquet , Fabian H. L. Essler , Alexei M. Tsvelik , Alexander O. Gogolin

The triangular lattice antiferromagnet with $S=1/2$ spins and nearest neighbor interactions is known to have long-range antiferromagnetic order, with nearest-neighbor spins at an angle of 120 degrees. Numerical studies of quantum phases…

Strongly Correlated Electrons · Physics 2025-09-09 Leyna Shackleton , Subir Sachdev

The mixed spin-1/2 and spin-S Ising model on a decorated planar lattice accounting for lattice vibrations of decorating atoms is treated by making use of the canonical coordinate transformation, the decoration-iteration transformation, and…

Statistical Mechanics · Physics 2018-11-19 Jozef Strecka , Matus Rebic , Onofre Rojas , Sergio Martins de Souza

We study the effects of spin-orbit coupling (SOC) on the large-U Hubbard model on anisotropic triangular lattice at half-filling using the Schwinger-boson method. We find that the SOC will in general lead to a zero temperature condensation…

Strongly Correlated Electrons · Physics 2013-05-29 Xiao-Yong Feng , Xin Dong , Jianhui Dai

We study the resonating valence bond (RVB) theory of the Hubbard-Heisenberg model on the half-filled anisotropic triangular lattice. Varying the frustration changes the wavevector of maximum spin correlation in the Mott insulating phase.…

Superconductivity · Physics 2009-01-23 B. J. Powell , Ross H. McKenzie

Antiferromagnetically coupled Ising s =3 spins on a triangular lattice are very close to ordering at zero temperature. The low temperature behaviour of a triangular lattice with Ising spins s =3 has been simulated by using both Glauber and…

Statistical Mechanics · Physics 2017-11-02 Christopher Bentham , Stuart George , Jenny Poulton , GIllian A. Gehring

We study the stability of the spin gap phase in the U(1) slave-boson theory of the t-J model in connection to the underdoped cuprates. We approach the spin gap phase from the superconducting state and consider the quantum phase transition…

Strongly Correlated Electrons · Physics 2009-10-31 Yong Baek Kim , Ziqiang Wang

The quantum antiferromagnetic spin-1/2 Ising model on a triangular lattice and analogous fully frustrated Ising model on a square lattice with quantum fluctuations induced by the application of the transverse magnetic field are studied at…

Strongly Correlated Electrons · Physics 2015-06-05 S. E. Korshunov

We introduce an $xy$ generalization of the frustrated Ising model on a triangular lattice. The presence of continuous degrees of freedom stabilizes a {\em finite-temperature} spin state with {\em power-law} discrete spin correlations and an…

Condensed Matter · Physics 2009-10-22 P. Chandra , P. Coleman , L. B. Ioffe

We study the triangular lattice Ising model with a finite number of vertically stacked layers and demonstrate a low temperature reentrance of two Berezinskii-Kosterlitz-Thouless transitions, which results in an extended disordered regime…

Strongly Correlated Electrons · Physics 2014-04-17 Shi-Zeng Lin , Yoshitomo Kamiya , Gia-Wei Chern , Cristian D. Batista
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