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Supersolid is a long-sought exotic phase of matter, which is characterized by the coexistence of a diagonal long-range order of solid and an off-diagonal long-range order of superfluid. Possible candidates to realize such a phase have been…

Quantum Gases · Physics 2016-08-10 Wei Han , Gediminas Juzeliūnas , Wei Zhang , Wu-Ming Liu

Competition between superconductivity and charge order is a recurring theme in contemporary condensed matter physics. This is quintessentially captured in the attractive Hubbard model, a simple theoretical model where the competition can be…

Superconductivity · Physics 2020-07-01 Madhuparna Karmakar , R. Ganesh

Pyrochlore magnets have proven to provide an excellent arena for the realization of a variety of many-body phenomena such as classical and quantum order-by-disorder, as well as spin liquid phases described by emergent gauge field theories.…

Strongly Correlated Electrons · Physics 2025-02-21 Niccolò Francini , Lukas Janssen , Daniel Lozano-Gómez

Spin nematic (SN) is a magnetic analog of classical liquid crystals, a fourth state of matter exhibiting characteristics of both liquid and solid. Particularly intriguing is a valence-bond SN, in which spins are quantum entangled to form a…

We analyze theoretically the emergence of different superfluid phases of spin-1 bosons in a three-dimensional cubic optical lattice by generalizing the recently developed Ginzburg-Landau theory for the Bose-Hubbard model to a spinor Bose…

Quantum Gases · Physics 2015-06-17 Mohamed Mobarak , Axel Pelster

Symmetry plays a fundamental role in our understanding of both conventional symmetry breaking phases and the more exotic quantum and topological phases of matter. We explore the experimental signatures of symmetry enriched U(1) quantum spin…

Strongly Correlated Electrons · Physics 2017-01-25 Yao Dong Li , Gang Chen

On the triangular lattice, for $J_2/J_1$ between $1/8$ and $1$, the classical Heisenberg model with first and second neighbor interactions presents four-sublattice ordered ground-states. Spin-wave calculations of Chubukov and…

Condensed Matter · Physics 2009-10-28 P. Lecheminant , B. Bernu , C. Lhuillier , L. Pierre

In this paper we consider the simplified form that a recently introduced general operator description of the Hubbard model on the square lattice with $N_a^2\gg 1$ sites, effective transfer integral $t$, and onsite repulsion $U$ has in a…

Strongly Correlated Electrons · Physics 2010-06-14 J. P. Carmelo

Two-sublattice ferrimagnet, with spin-$s_1$ operators $\bf{S_{1i}}$ at the sublattice $A$ site and spin-$s_2$ operators $\bf{S_{2i}}$ at the sublattice $B$ site, is considered. The magnon of the system, the transversal fluctuation of the…

Strongly Correlated Electrons · Physics 2009-11-13 N. Karchev

Motivated by the recently established duality between elasticity of crystals and a fracton tensor gauge theory, we combine it with boson-vortex duality, to explicitly account for bosonic statistics of the underlying atoms. We thereby derive…

Strongly Correlated Electrons · Physics 2019-01-11 Michael Pretko , Leo Radzihovsky

Superconducting (SC) state has spin and orbital degrees of freedom, and spin-triplet superconductivity shows multiple SC phases due to the presence of these degrees of freedom. However, the observation of spin-direction rotation occurring…

We study the three-dimensional (3D) compact U(1) lattice gauge theory coupled with $N$-flavor Higgs fields by means of the Monte Carlo simulations. This model is relevant to multi-component superconductors, antiferromagnetic spin systems in…

High Energy Physics - Lattice · Physics 2009-10-26 T. Ono , S. Doi , Y. Hori , I. Ichinose , T. Matsui

We consider a superexchange Hamiltonian, $H=-\sum_{<i,j>}(2{\bf S}_i\cdot {\bf S}_j-\frac 12)(2{\bf T}_i\cdot {\bf T}_j-\frac 12)$, which describes systems with orbital degeneracy and strong electron-phonon coupling in the limit of large…

Strongly Correlated Electrons · Physics 2013-01-24 Guang-Ming Zhang , Shun-Qing Shen

The phase diagram at zero temperature of a lattice SU(2) scalar-fermion model in (2+1) dimensions is studied numerically and with Mean-Field methods. Special attention is devoted to the strong coupling regime. We have developed a new method…

Condensed Matter · Physics 2010-03-19 J. L. Alonso , Ph. Boucaud , V. Martin-Mayor , A. J. van der Sijs

We analyze instabilities of the collinear up-up-down state of a two-dimensional quantum spin-S spatially anisotropic triangular lattice antiferromagnet in a magnetic field. We find, within large-S approximation, that near the end point of…

Strongly Correlated Electrons · Physics 2013-08-20 Andrey V. Chubukov , Oleg A. Starykh

We investigate the half-filled Hubbard model on an isotropic triangular lattice with the variational cluster approximation. By decreasing the on-site repulsion $U$ (or equivalently increasing pressure) we go from a phase with long range,…

Strongly Correlated Electrons · Physics 2008-04-15 Peyman Sahebsara , David Sénéchal

We demonstrate the existence of a spin-nematic, moment-free phase in a quantum four-spin ring exchange model on the square lattice. This unusual quantum state is created by the interplay of frustration and quantum fluctuations which lead to…

Strongly Correlated Electrons · Physics 2007-05-23 A. Laeuchli , J. C. Domenge , C. Lhuillier , P. Sindzingre , M. Troyer

We study the spin-1/2 XXZ model on the triangular lattice with a nearest neighbor antiferromagnetic Ising coupling $J_z>0$ and unfrustrated ($J_\perp<0$) or frustrated ($J_\perp>0$) kinetic terms in zero magnetic field. Incorporating…

Strongly Correlated Electrons · Physics 2015-05-14 Dariush Heidarian , Arun Paramekanti

Two-component dipolar fermions in zigzag optical lattices allow for the engineering of spin-orbital models. We show that dipolar lattice fermions permit the exploration of a regime typically unavailable in solid-state compounds that is…

Strongly Correlated Electrons · Physics 2015-11-26 G. Sun , A. K. Kolezhuk , L. Santos , T. Vekua

Spin ice is a frustrated magnetic system that at low temperatures exhibits a Coulomb phase, a classical spin liquid with topological order and deconfined excitations. This work establishes the presence of a Coulomb phase with coexisting…

Statistical Mechanics · Physics 2015-03-30 Stephen Powell