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We consider the easy-plane limit of bipartite SU($N$) Heisenberg Hamiltonians which have a fundamental representation on one sublattice and the conjugate to fundamental on the other sublattice. For $N=2$ the easy plane limit of the SU(2)…

Strongly Correlated Electrons · Physics 2016-03-03 Jonathan D'Emidio , Ribhu K. Kaul

We study the N\'eel to four-fold columnar valence bond solid (cVBS) quantum phase transition in a sign free $S=1$ square lattice model. This is the same kind of transition that for $S=1/2$ has been argued to realize the prototypical…

Strongly Correlated Electrons · Physics 2020-01-22 Julia Wildeboer , Nisheeta Desai , Jonathan D'Emidio , Ribhu K. Kaul

We consider a model Hamiltonian with two SU(4) fermions per site on a square lattice, showing a competition between bilinear and biquadratic interactions. This model has generated interest due to possible realizations in ultracold atom…

Strongly Correlated Electrons · Physics 2022-05-05 Pranay Patil , Fabien Alet , Sylvain Capponi , Matthieu Mambrini

We study superfluid--solid zero-temperature transitions in two-dimensional lattice boson/spin models by Worm-Algorithm Monte Carlo simulations. We observe that such transitions are typically first-order with the exception of special…

Statistical Mechanics · Physics 2009-11-10 Anatoly Kuklov , Nikolay Prokof'ev , Boris Svistunov

We investigate critical properties of the stacked-$J_1$-$J_2$ Ising model on a cubic lattice. Using Monte Carlo simulations and renormalization group, we find a single phase transition of the first order for $J_2/J_1>1/2$. The renormgroup…

Strongly Correlated Electrons · Physics 2022-06-22 A. O. Sorokin

We analyze the nucleation of supersolid order out of the superfluid ground state of bosons on the triangular lattice. While the stability of supersolidity against phase separation in this system is by now well established for…

Quantum Gases · Physics 2012-01-20 Lars Bonnes , Stefan Wessel

In this work, we show that the quantum compass model on an square lattice can be mapped to a fermionic model with local density interaction. We introduce a mean-field approximation where the most important fluctuations, those perpendicular…

Strongly Correlated Electrons · Physics 2007-05-23 Han-Dong Chen , Chen Fang , Jiangping Hu , Hong Yao

We report a quantum Monte Carlo study of the phase transition between antiferromagnetic and valence-bond solid ground states in the square-lattice $S=1/2$ $J$-$Q$ model. The critical correlation function of the $Q$ terms gives a scaling…

Strongly Correlated Electrons · Physics 2020-07-09 Anders W. Sandvik , Bowen Zhao

Using a loop-cluster algorithm we investigate the spin 1/2 Heisenberg antiferromagnet on a square lattice with exchange coupling $J$ and an additional four-spin interaction of strength $Q$. We confirm the existence of a phase transition…

Strongly Correlated Electrons · Physics 2009-11-13 F. -J. Jiang , M. Nyfeler , S. Chandrasekharan , U. -J. Wiese

We investigate the superfluid--Mott-insulator quantum phase transition of spin-1 bosons in an optical lattice created by pairs of counterpropagating linearly polarized laser beams, driving an $F_g=1$ to $F_e=1$ internal atomic transition.…

Other Condensed Matter · Physics 2007-05-23 K. V. Krutitsky , M. Timmer , R. Graham

Motivated by the absence of cooperative Jahn-Teller effect in LiNiO2 and BaVS3, two layered oxides with triangular planes, we study the SU(4) symmetric spin-orbital model on the triangular lattice. Upon reducing the next-nearest neighbour…

Strongly Correlated Electrons · Physics 2007-05-23 Karlo Penc , Matthieu Mambrini , Patrik Fazekas , Frederic Mila

We study quantum fluctuation driven first-order phase transitions of a two-species bosonic system in a three-dimensional optical lattice. Using effective potential method we find that the superfluid-Mott insulator phase transition of one…

Quantum Gases · Physics 2015-07-09 Boyang Liu , Jiangping Hu

We resolve the nature of the quantum phase transition between a N\'eel antiferromagnet and a valence-bond solid in two-dimensional spin-1/2 magnets. We study a class of $J$-$Q$ models, in which Heisenberg exchange $J$ competes with…

Strongly Correlated Electrons · Physics 2024-05-13 Jun Takahashi , Hui Shao , Bowen Zhao , Wenan Guo , Anders W. Sandvik

Lattice QCD with Wilson fermions generically shows the phenomenon of a first order phase transition. We study the phase structure of lattice QCD using Wilson twisted mass fermions and the Wilson plaquette gauge action are used in a range of…

High Energy Physics - Lattice · Physics 2009-11-11 F. Farchioni , K. Jansen , I. Montvay , E. E. Scholz , L. Scorzato , A. Shindler , N. Ukita , C. Urbach , U. Wenger , I. Wetzorke

A quantum phase transition is typically induced by tuning an external parameter that appears as a coupling constant in the Hamiltonian. Another route is to vary the global symmetry of the system, generalizing, e.g., SU(2) to SU(N). In that…

Strongly Correlated Electrons · Physics 2009-12-14 K. S. D. Beach , Fabien Alet , Matthieu Mambrini , Sylvain Capponi

We consider the $S=1/2$ Heisenberg model with nearest-neighbor interaction $J$ and an additional multi-spin interaction $Q_3$ on the square lattice. The $Q_3$ term consists of three bond-singlet projectors and is chosen to favor the…

Strongly Correlated Electrons · Physics 2015-05-19 Arnab Sen , Anders W. Sandvik

We revisit the phase transition from the N\'eel ordered to a valence bond solid (VBS) state in the two-dimensional $J_1-J_2$ antiferromagnetic Heisenberg model. In the first part we address the question whether or not this transition could…

Strongly Correlated Electrons · Physics 2007-05-23 J. Sirker , Zheng Weihong , O. P. Sushkov , J. Oitmaa

We present a comprehensive analysis of the emerging order and chaos and enduring symmetries, accompanying a generic (high-barrier) first-order quantum phase transition (QPT). The interacting boson model Hamiltonian employed, describes a QPT…

Nuclear Theory · Physics 2014-10-01 M. Macek , A. Leviatan

We introduce a quantum spin-1/2 model with many-body correlated Heisenberg-type interactions on the 2D square lattice, designed to host a plaquette valence-bond solid (PVBS) ground state breaking $\mathbb{Z}_4$ symmetry. We carry out a…

Strongly Correlated Electrons · Physics 2020-09-30 Jun Takahashi , Anders W. Sandvik

We explore the first-order phase transition in the lattice Schwinger model in the presence of a topological $\theta$-term by means of the variational quantum eigensolver (VQE). Using two different fermion discretizations, Wilson and…

High Energy Physics - Lattice · Physics 2025-01-22 Takis Angelides , Pranay Naredi , Arianna Crippa , Karl Jansen , Stefan Kühn , Ivano Tavernelli , Derek S. Wang
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