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Topological phases in two-dimensional quantum lattice models are often studied on cylinders for revealing different topological properties and making the problem numerically tractable. This makes a proper understanding of…

Strongly Correlated Electrons · Physics 2025-10-31 Felix A. Palm , Chloé Van Bastelaere , Laurens Vanderstraeten

We study spin-1 bosons in an optical lattice under a magnetic field by the Gutzwiller approximation. Our results thus obtained join the discontinuous phase boundary curves obtained by perturbative studies through a first-order transition.…

Other Condensed Matter · Physics 2007-05-23 Takashi Kimura , Shunji Tsuchiya , Makoto Yamashita , Susumu Kurihara

We point out that the internal spin symmetry of the order parameter manifests itself at the core of a fractional vortex in real space without spin-orbit coupling. Such symmetry breaking arises from a topological constraint and the…

Quantum Gases · Physics 2011-07-14 Michikazu Kobayashi , Yuki Kawaguchi , Masahito Ueda

The Heisenberg-Kitaev (HK) model on the triangular lattice is conceptually interesting for its interplay of geometric and exchange frustration. HK models are also thought to capture the essential physics of the spin-orbital entanglement in…

Strongly Correlated Electrons · Physics 2015-04-29 Michael Becker , Maria Hermanns , Bela Bauer , Markus Garst , Simon Trebst

Recently, the frustrated XY model for spins-1/2 on the honeycomb lattice has attracted a lot of attention in relation with the possibility to realize a chiral spin liquid state. This model is relevant to the physics of some quantum magnets.…

Strongly Correlated Electrons · Physics 2018-04-18 Kirill Plekhanov , Ivana Vasić , Alexandru Petrescu , Rajbir Nirwan , Guillaume Roux , Walter Hofstetter , Karyn Le Hur

Simulations of nematic-isotropic transition of liquid crystals in two dimensions are performed using an O(2) vector model characterised by non linear nearest neighbour spin interaction governed by the fourth Legendre polynomial $P\_4$. The…

Statistical Mechanics · Physics 2016-08-16 Ana Fariñas-Sanchez , Ricardo Paredes , Bertrand Berche

We characterize a system of tilted dipoles in a quasi two-dimensional (flattened) geometry and in the thermodynamic limit. We consider a finite trapping in the z-axis achievable in current experiments. We compute the phase diagram of the…

Quantum Gases · Physics 2025-10-17 Juan Sánchez-Baena

We construct a family of short-range resonating-valence-bond wave functions on a layered cubic lattice, allowing for a tunable anisotropy in the amplitudes assigned to nearest-neighbour valence bonds along one axis. Monte Carlo simulations…

Strongly Correlated Electrons · Physics 2013-11-04 Jin Xu , K. S. D. Beach

Mott insulators are commonly pictured with electrons localized on lattice sites. Their low-energy degrees of freedom involve spins only. Here we observe emerging charge degrees of freedom in a molecule-based Mott insulator…

Condensed matter physicists have long sought a realistic two-dimensional (2D) magnetic system whose ground state is a {\it spin liquid}---a zero temperature state in which quantum fluctuations have melted away any form of magnetic order.…

Strongly Correlated Electrons · Physics 2012-08-16 Simeng Yan , David A. Huse , Steven R. White

We propose methods to create fractional vortices in the cyclic state of an F = 2 spinor Bose-Einstein condensate by manipulating its internal spin structure using pulsed microwave and laser fields. The stability of such vortices is studied…

Quantum Gases · Physics 2015-05-14 J. A. M. Huhtamäki , T. P. Simula , M. Kobayashi , K. Machida

Doping a Mott-insulating $\mathbb{Z}_2$ spin liquid can lead to a fractionalized Fermi liquid (FL*). Such a phase has several favorable features that make it a candidate for the pseudogap metal for the underdoped cuprates. We focus on a…

Strongly Correlated Electrons · Physics 2016-11-15 Shubhayu Chatterjee , Subir Sachdev

Early studies proposed a connection between cuprate superconductivity and fractionalized spin liquid states. But the low temperature phase diagram is dominated by states without fractionalization, with a competition between…

Strongly Correlated Electrons · Physics 2025-05-23 Maine Christos , Zhu-Xi Luo , Henry Shackleton , Ya-Hui Zhang , Mathias Scheurer , Subir Sachdev

Higher-order topological insulators are distinguished by the existence of topologically protected modes with codimension two or higher. Here, we report the manifestation of a second-order topological insulator in a two dimensional…

Strongly Correlated Electrons · Physics 2018-09-03 Vatsal Dwivedi , Ciarán Hickey , Tim Eschmann , Simon Trebst

A Z2 topological insulator protected by time-reversal symmetry is realized via spin-orbit interaction driven band inversion. For example, the topological phase in the Bi-Sb system is due to an odd number of band inversions. A related…

Magnetic phase diagram and Mott transition are studied in the Hubbard model on the anisotropic triangular lattice at zero temperature and half-filling by the variational cluster approximation, taking into account N\'eel, 120$^\circ$ N\'eel,…

Strongly Correlated Electrons · Physics 2015-06-18 A. Yamada

We study the effective spin-orbital model that describes the magnetism of 4$d^1$ or 5$d^1$ Mott insulators in ideal tricoordinated lattices. In the limit of vanishing Hund's coupling, the model has an emergent SU(4) symmetry which is made…

Strongly Correlated Electrons · Physics 2018-11-21 Willian M. H. Natori , Eric C. Andrade , Rodrigo G. Pereira

The two-dimensional (2D) vortex lattice in the extreme type-II limit is studied by Monte Carlo simulation of the corresponding 2D Coulomb gas, with identical pins placed at sites coinciding with the zero-temperature triangular vortex…

Superconductivity · Physics 2009-11-07 C. E. Creffield , J. P. Rodriguez

A quantum kicked rotor model is one of the promising systems to realize various Floquet topological phases. We consider a double-kicked rotor model for a one-dimensional quasi-spin-1/2 Bose-Einstein condensate with spin-dependent and…

Quantum Gases · Physics 2023-11-27 Yusuke Koyama , Kazuya Fujimoto , Shuta Nakajima , Yuki Kawaguchi

We investigate the dynamics of the one-dimensional strongly repulsive spin-1/2 Bose-Hubbard model for filling $\nu\le1.$ While at $\nu=1$ the system is a Hubbard-Mott insulator exhibiting dynamical properties of the Heisenberg ferromagnet,…

Other Condensed Matter · Physics 2013-05-29 M. B. Zvonarev , V. V. Cheianov , T. Giamarchi