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Using quantum Monte Carlo simulations and field-theory arguments, we study the fully frustrated (Villain) transverse-field Ising model on the square lattice. We consider a "primary" spin order parameter and a "secondary" dimer order…

Strongly Correlated Electrons · Physics 2024-06-11 Gabe Schumm , Hui Shao , Wenan Guo , Frédéric Mila , Anders W. Sandvik

We examine phases of the Shraiman-Siggia model of lightly-doped, square lattice quantum antiferromagnets in a self-consistent, two-loop, interacting magnon analysis. We find magnetically-ordered and quantum-disordered phases both with and…

Condensed Matter · Physics 2009-10-22 Subir Sachdev

We study the phase transition between the Coulomb liquid and the columnar crystal in the 3D classical dimer model, which was found to be continuous in the O(3) universality class. In addition to nearest neighbor interactions which favor…

Strongly Correlated Electrons · Physics 2011-08-12 Stefanos Papanikolaou , Joseph J. Betouras

The low-temperature fate of the spin-liquid regime in the classical kagome Heisenberg antiferromagnet has been debated for over three decades. Using an expansion in the number of spin components, we show that, contrary to earlier Monte…

Strongly Correlated Electrons · Physics 2026-05-27 Cecilie Glittum , Olav F. Syljuåsen

The frustrated quantum spin system on the distorted diamond chain lattice suitable for the alumoklyuchevskite is investigated using the numerical diagonalization of finite-size clusters and the level spectroscopy analysis. It is found that…

Strongly Correlated Electrons · Physics 2020-04-22 Tomosuke Zenda , Yuta Tachibana , Yuki Ueno , Kiyomi Okamoto , Tôru Sakai

We introduce a one-dimensional plaquette orbital model with a topology of a ladder and alternating interactions between $x$ and $z$ pseudospin components along both the ladder legs and on the rungs. We show that it is equivalent to an…

Strongly Correlated Electrons · Physics 2014-08-04 Wojciech Brzezicki , Andrzej M. Oleś

We show that phase transitions in spin-one Bose gases and stacked triangular Heisenberg antiferromagnets -- an example of frustrated magnets with competing interactions -- are described by the same Landau-Ginzburg-Wilson Hamiltonian with…

Quantum Gases · Physics 2016-11-28 T. Debelhoir , N. Dupuis

We perform a general study of spin ordering on the pyrochlore lattice with a 3:1 proportionality of two spin polarizations. Equivalently, this describes valence bond solid conformations of a quantum dimer model on the diamond lattice. We…

Strongly Correlated Electrons · Physics 2007-05-23 Doron L. Bergman , Gregory A. Fiete , Leon Balents

We present an extensive numerical study of the critical behavior of dimer models in three dimensions, focusing on the phase transition between Coulomb and crystalline columnar phases. The case of attractive interactions between parallel…

Strongly Correlated Electrons · Physics 2015-03-17 D. Charrier , F. Alet

Theoretical studies of quantum phase transitions have suggested critical points with higher symmetries than those of the underlying Hamiltonian. Here we demonstrate a surprising emergent symmetry of the coexistence state at a strongly…

Strongly Correlated Electrons · Physics 2019-07-03 Bowen Zhao , Phillip Weinberg , Anders W. Sandvik

We study the interplay of topological band structure and conventional magnetic long-range order in spinful Haldane model with onsite repulsive interaction. Using the dynamical cluster approximation with clusters of up to 24 sites we find…

Strongly Correlated Electrons · Physics 2016-07-07 Jakub Imriška , Lei Wang , Matthias Troyer

Motivated by recent advancements in theoretical and experimental studies of the high-energy excitations on an antiferromagnetic trimer chain, we numerically investigate the quantum phase transition and composite dynamics in this system by…

Strongly Correlated Electrons · Physics 2024-12-03 Jun-Qing Cheng , Zhi-Yao Ning , Han-Qing Wu , Dao-Xin Yao

We study the effect of spin-Peierls instability on the phase-diagram of a frustrated antiferromagnetic spin-1/2 ladder, with weak transverse and diagonal rung coupling. Our analysis focuses on a one-dimensional version of the model (i.e. a…

Strongly Correlated Electrons · Physics 2014-12-24 Ofer Shlagman , Efrat Shimshoni

The quasi-one-dimensional S=1 Heisenberg antiferromagnet with a biquadratic term is investigated at zero temperature by quantum Monte Carlo simulation. As the magnitude of the inter-chain coupling is increased, the system undergoes a phase…

Statistical Mechanics · Physics 2015-06-25 Kenji Harada , Naoki Kawashima , Matthias Troyer

The phase diagram of a frustrated S=1/2 antiferromagnetic spin ladder with additional next-nearest neighbor exchanges, both diagonal and inchain, is studied by a weak-coupling effective field theory approach combined with exact…

Strongly Correlated Electrons · Physics 2007-05-23 Temo Vekua , Andreas Honecker

The ground state of a spin-1/2 Heisenberg chain with both frustration and long-range interactions is studied using Lanczos exact diagonalization. The evolution of the well known dimerization transition of the system with short-range…

Strongly Correlated Electrons · Physics 2010-05-04 Anders W. Sandvik

The antiferromagnetic quantum Ising chain has a quantum critical point which belongs to the universality class of the transverse Ising model (TIM). When a longitudinal field ($h$) is switched on, the phase transition is preserved, which…

Statistical Mechanics · Physics 2021-05-12 Péter Lajkó , Ferenc Iglói

We study a generalized quantum spin ladder with staggered long range interactions that decay as a power-law with exponent $\alpha$. Using large scale quantum Monte Carlo (QMC) and density matrix renormalization group (DMRG) simulations, we…

Strongly Correlated Electrons · Physics 2022-09-21 Luhang Yang , Phillip Weinberg , Adrian E. Feiguin

Ground state energies for plaquette and dimer order in the $J_1-J_2$ square-lattice spin-half Heisenberg model are compared using series expansion methods. We find that these energies are remarkably close to each other at intermediate…

Strongly Correlated Electrons · Physics 2009-10-31 Rajiv R. P. Singh , Zheng Weihong , C. J. Hamer , J. Oitmaa

We study a generalized quantum spin ladder with staggered long range interactions that decay as a power-law with exponent $\alpha$. Using large scale quantum Monte Carlo (QMC) and the density matrix renormalization group (DMRG) simulations,…

Strongly Correlated Electrons · Physics 2021-11-29 Luhang Yang , Phillip Weinberg , Adrian E. Feiguin