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We consider interacting bosonic particles on a two-leg triangular ladder in the presence of an artificial gauge field. We employ density matrix renormalization group numerical simulations and analytical bosonization calculations to study…

Quantum Gases · Physics 2023-02-21 Catalin-Mihai Halati , Thierry Giamarchi

We map the ground-state ensemble of antiferromagnetic Ising model of spin-S on a triangular lattice to an interface model whose entropic fluctuations are proposed to be described by an effective Gaussian free energy, which enables us to…

Condensed Matter · Physics 2009-10-28 C. Zeng , C. L. Henley

The interplay between spin frustration and charge fluctuation gives rise to an exotic quantum state in the intermediate-interaction regime of the half-filled triangular-lattice Hubbard model, while the nature of the state is under debate.…

Strongly Correlated Electrons · Physics 2022-10-05 Bin-Bin Chen , Ziyu Chen , Shou-Shu Gong , D. N. Sheng , Wei Li , Andreas Weichselbaum

A new model for a spin 1/2 ladder system with two legs is introduced. It is demonstrated that this model is solvable via the Bethe ansatz method for arbitrary values of the rung coupling J. This is achieved by a suitable mapping from the…

Statistical Mechanics · Physics 2009-10-31 Jon Links , Angela Foerster

The ground state of dipolar bosons placed in an optical lattice is analyzed. We show that the modification of experimentally accessible parameters can lead to the realization and control of different quantum phases, including superfluid,…

Condensed Matter · Physics 2007-05-23 K. Goral , L. Santos , M. Lewenstein

We investigate the Hubbard model on the anisotropic triangular lattice with two hopping parameters $t$ and $t^\prime$ in different spatial directions, interpolating between decoupled chains ($t=0$) and the isotropic triangular lattice…

Strongly Correlated Electrons · Physics 2014-06-24 Luca F. Tocchio , Claudius Gros , Roser Valentí , Federico Becca

We consider an ultra-small system of polarized bosons on an optical lattice with a ring topology interacting via long range dipole-dipole interactions. Dipoles polarized perpendicular to the plane of the ring reveal sharp transitions…

Quantum Gases · Physics 2013-05-29 Michal Maik , Pierfrancesco Buonsante , Alessandro Vezzani , Jakub Zakrzewski

We study a lattice model of interacting loops in three dimensions with a $1/r^2$ interaction. Using Monte Carlo, we find that the phase diagram contains a line of second-order phase transitions between a phase where the loops are gapped and…

Statistical Mechanics · Physics 2015-06-04 Scott D. Geraedts , Olexei I. Motrunich

In a recent study [Phys. Rev. X 10, 021042 (2020)], we showed using large-scale density matrix renormalization group (DMRG) simulations on infinite cylinders that the triangular lattice Hubbard model has a chiral spin liquid phase. In this…

Strongly Correlated Electrons · Physics 2021-06-23 Aaron Szasz , Johannes Motruk

According to the general classification of topological insulators, there exist one-dimensional chirally (sublattice) symmetric systems that can support any number of topological phases. We introduce a zigzag fermion chain with spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2011-10-12 Jukka I. Väyrynen , Teemu Ojanen

Two-dimensional hexagonal and oblique lattices were investigated theoretically with the aim of observing differences in the spin expectation values between chiral and achiral systems. The spinresolved band structures were derived from the…

Mesoscale and Nanoscale Physics · Physics 2018-06-19 N. K. Lewis , P. J. Durham , W. R. Flavell , E. A. Seddon

In this work, we study and evaluate the impact of a periodic spin-lattice coupling in an Ising-like system on a 2D triangular lattice. Our proposed simple Hamiltonian considers this additional interaction as an effect of preferential phonon…

Statistical Mechanics · Physics 2024-01-30 R. M. L. Nascimento , Claudio J. DaSilva , L. S. Ferreira , A. A. Caparica

Neutral-atom quantum simulators provide a powerful platform for realizing strongly correlated phases, enabling access to dynamical signatures of quasiparticles and symmetry breaking processes. Motivated by recent observations of quantum…

Quantum Gases · Physics 2026-01-15 Maria Lanaro , Lorenzo Maffi , Marco Di Liberto

We investigate the phase diagrams of a one-dimensional lattice model of fermions and of a spin chain with interactions extending up to next-nearest neighbour range. In particular, we investigate the appearance of regions with dominant…

Quantum Gases · Physics 2021-02-24 Lorenzo Gotta , Leonardo Mazza , Pascal Simon , Guillaume Roux

A number of lattices exhibit moat-like band structures, i.e. a band with infinitely degenerate energy minima attained along a closed line in the Brillouin zone. If such a lattice is populated with hard-core bosons, the degeneracy prevents…

Strongly Correlated Electrons · Physics 2015-01-26 Tigran A. Sedrakyan , Leonid I. Glazman , Alex Kamenev

We investigate the physics of dipolar bosons in a two dimensional optical lattice. It is known that due to the long-range character of dipole-dipole interaction, the ground state phase diagram of a gas of dipolar bosons in an optical…

Other Condensed Matter · Physics 2009-11-11 C. Menotti , C. Trefzger , M. Lewenstein

Phase transition of the Ising model is investigated on a planar lattice that has a fractal structure. On the lattice, the number of bonds that cross the border of a finite area is doubled when the linear size of the area is extended by a…

Statistical Mechanics · Physics 2016-02-02 Jozef Genzor , Andrej Gendiar , Tomotoshi Nishino

A low-temperature method is developed, suited for the two-dimensional two-component classical helical magnet. Four phases on the phase diagram as functions of temperature and helicity parameter of the Hamiltonian are found. Among the three…

Statistical Mechanics · Physics 2015-06-16 Olga Dimitrova

In this paper, we study the role of both "spin"(species) and mass imbalance in a mixture of two species of fermionic atoms with attractive interaction in an one-dimensional optical lattice. Using the bosonization approach, quantum phase…

Strongly Correlated Electrons · Physics 2009-02-09 Wen-Long Lu , Zhi-Guo Wang , Shi-Jian Gu , Hai-Qing Lin

Studies of competing orders in 1D magnetic chains have attracted considerable attention in recent years, as the presence of long-range Heisenberg interactions is found to allow interesting quantum phase transitions. We investigate here the…

Strongly Correlated Electrons · Physics 2020-11-25 E. Vernek , O. Ávalos-Ovando , S. E. Ulloa