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We study attractively interacting fermions on a square lattice with dispersion relations exhibiting strong spin-dependent anisotropy. The resulting Fermi surface mismatch suppresses the s-wave BCS-type instability, clearing the way for…

We study a one-dimensional electron liquid embedded in a 2D antiferromagnetic insulator, and coupled to it via a weak antiferromagnetic spin exchange interaction. We argue that this model may qualitatively capture the physics of a single…

Strongly Correlated Electrons · Physics 2009-11-10 H. Johannesson , G. I. Japaridze

We study the properties of a quarter-filled system of electrons on a square lattice interacting through a local repulsion $U$ and a nearest-neighbour repulsion $V$ in the limit $V=+\infty$. We identify the ground-state for $U$ large enough…

Condensed Matter · Physics 2009-10-22 Frederic Mila

To describe the full spectrum of surface fluctuations of the interface between phase-separated colloid-polymer mixtures from low scattering vector q (classical capillary wave theory) to high q (bulk-like fluctuations), one must take account…

Soft Condensed Matter · Physics 2009-11-13 Edgar M. Blokhuis , Joris Kuipers , Richard Vink

Based on a Renormalization-Group picture of $Z_n$ symmetric models in three dimensions, we derive a scaling law for the $Z_n$ order parameter in the ordered phase. An existing Monte Carlo calculation on the three-state antiferromagnetic…

Statistical Mechanics · Physics 2009-10-31 Masaki Oshikawa

In this paper, we study phase structure of $Z_2$ lattice gauge theories that appear as an effective field theory describing low-energy properties of frustrated antiferromagnets in two dimensions. Spin operators are expressed in terms of…

Strongly Correlated Electrons · Physics 2015-05-14 K. Nakane , A. Shimizu , I. Ichinose

Based on a generalized one-band Hubbard model, we study magnetic properties of Mott insulating states for ultracold spin-3/2 fermionic atoms in optical lattices. When the \textit{s}-wave scattering lengths for the total spin $S=2,0$ satisfy…

Strongly Correlated Electrons · Physics 2007-05-23 Hong-Hao Tu , Guang-Ming Zhang , Lu Yu

The ground state of the quantum rotor model in two dimensions with random phase frustration is investigated. Extensive Monte Carlo simulations are performed on the corresponding (2+1)-dimensional classical model under the entropic sampling…

Superconductivity · Physics 2009-11-13 Lei-Han Tang , Qing-Hu Chen

The critical phenomena of two-dimensional (2D) antiferromagnetic $q$-state Potts model on the square lattice with $q=2,3,4,5$ and 6 are investigated using the technique of supervised neural network (NN). Unlike the conventional NN…

High Energy Physics - Lattice · Physics 2026-03-26 Shang-Wei Li , Kai-Wei Huang , Chien-Ting Chen , Fu-Jiun Jiang

Unravelling competing orders emergent in doped Mott insulators and their interplay with unconventional superconductivity is one of the major challenges in condensed matter physics. To explore possible superconductivity state in the doped…

Strongly Correlated Electrons · Physics 2021-09-01 Shoushu Gong , W. Zhu , D. N. Sheng

We study the two-dimensional Potts model on the square lattice in the presence of quenched random-bond impurities. For q>4 the first-order transitions of the pure model are softened due to the impurities, and we determine the resulting…

Statistical Mechanics · Physics 2015-06-25 Jesper Lykke Jacobsen , John Cardy

The possibility of novel behavior at interfaces between strongly and weakly correlated materials has come under increased study recently. In this paper, we use determinant Quantum Monte Carlo to determine the inter-penetration of metallic…

Strongly Correlated Electrons · Physics 2013-05-30 M. Jiang , G. G. Batrouni , R. T. Scalettar

We presents the results of an extensive numerical study of the phase diagram of the spin-1/2, \protect{$J_1$-$J_2$-$J_3$} Heisenberg model on a square lattice, for both ferromagnetic and antiferromagnetic nearest-neighbor interactions…

Strongly Correlated Electrons · Physics 2015-05-13 Philippe Sindzingre , Nic Shannon , Tsutomu Momoi

We investigate the ground state phase diagram of an SU($N$)-symmetric antiferromagnetic spin model on a square lattice where each site hosts an irreducible representation of SU($N$) described by a square Young tableau of $N/2$ rows and $2S$…

Strongly Correlated Electrons · Physics 2023-09-26 Jonas Schwab , Francesco Parisen Toldin , Fakher F. Assaad

The quantum dimer model on the square lattice is equivalent to a $U(1)$ gauge theory. Quantum Monte Carlo calculations reveal that, for values of the Rokhsar-Kivelson (RK) coupling $\lambda < 1$, the theory exists in a confining columnar…

Strongly Correlated Electrons · Physics 2014-12-31 D. Banerjee , M. Bögli , C. P. Hofmann , F. -J. Jiang , P. Widmer , U. -J. Wiese

We study a Gaussian Potts-Hopfield model. Whereas for Ising spins and two disorder variables per site the chaotic pair scenario is realized, we find that for q-state Potts spins [{q(q-1} \over 2]-tuples occur. Beyond the breaking of a…

Statistical Mechanics · Physics 2009-11-07 A. C. D. van Enter , H. G. Schaap

We study a two-species bosonic Hubbard model on a two-dimensional square lattice by means of quantum Monte Carlo simulations. In addition to the usual contact repulsive interactions between the particles, the Hamiltonian has an…

Quantum Gases · Physics 2012-05-22 L. de Forges de Parny , F. Hébert , V. G. Rousseau , R. T. Scalettar , G. G. Batrouni

We theoretically study subgap states appearing at the interface between two three-dimensional topological insulators which have different configurations in the spin-orbit interactions from each other. The coupling of spin…

Mesoscale and Nanoscale Physics · Physics 2013-11-12 Tetsuro Habe , Yasuhiro Asano

An isotropic anti-ferromagnetic quantum state on a square lattice is characterized by symmetry arguments only. By construction, this quantum state is the result of an underlying valence bond structure without breaking any symmetry in the…

Strongly Correlated Electrons · Physics 2009-08-07 E. Rico , R. Hübener , S. Montangero , N. Moran , B. Pirvu , J. Vala , H. J. Briegel

We introduce a one-dimensional model which interpolates between the Ising model and the quantum compass model with frustrated pseudospin interactions $\sigma_i^z\sigma_{i+1}^z$ and $\sigma_i^x\sigma_{i+1}^x$, alternating between even/odd…

Strongly Correlated Electrons · Physics 2007-05-23 Wojciech Brzezicki , Jacek Dziarmaga , Andrzej M. Oles