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We model the newly predicted high-$T_c$ superconducting candidates constructed by corner-shared trigonal bipyramidal complexes with an effective three-orbital tight-banding Hamiltonian and investigate the pairing symmetry of their…

Strongly Correlated Electrons · Physics 2018-04-11 Chen Lu , Li-Da Zhang , Xianxin Wu , Fan Yang , Jiangping Hu

Quantum spin models with spatially dependent interactions, known as compass models, play an important role in the study of frustrated quantum magnetism. One example is the Kitaev model on the honeycomb lattice with spin-liquid ground states…

Quantum Gases · Physics 2016-06-24 Haiyuan Zou , Bo Liu , Erhai Zhao , W. Vincent Liu

Motivated by the finding of nearly isotropic superconductivity in $\mathrm{(Ba,K)Fe_2As_2}$, we use renormalized mean field theory to investigated the $t$-$J$ model on three-dimensional simple cubic lattice. A tunable anisotropic parameter…

Superconductivity · Physics 2009-02-10 Huai-Xiang Huang , YouQuan Li

We propose loading trapped ions into microtraps formed by an optical lattice. For harmonic microtraps, the Coulomb coupling of the spatial motions of neighboring ions can be used to construct a broad class of effective short-range…

Strongly Correlated Electrons · Physics 2008-06-01 Roman Schmied , Tommaso Roscilde , Valentin Murg , Diego Porras , J. Ignacio Cirac

We present a general method for determining the phase diagram of systems of a finite number of one dimensional Hubbard--like systems coupled by single--particle hopping with weak interactions. The technique is illustrated by detailed…

Condensed Matter · Physics 2016-08-31 Leon Balents , Matthew P. A. Fisher

The importance of models with an exact solution for the study of materials with non-trivial topological properties has been extensively demonstrated. Among these, the Kitaev model of a one-dimensional $p$-wave superconductor plays a guiding…

Strongly Correlated Electrons · Physics 2015-11-10 T. O. Puel , P. D. Sacramento , M. A. Continentino

We simulate the smallest building block of the Sachdev-Ye-Kitaev (SYK) model, a system of four interacting Majorana modes. We propose a 1D Kitaev chain that has been split into three segments, i.e., two topological segments separated by a…

Mesoscale and Nanoscale Physics · Physics 2022-12-14 Tasnum Reza , Sergey M. Frolov , David Pekker

Young and Kane have given a great insight for 2D Dirac semimetals with nontrivial topology in the presence of nonsymmorphic crystalline symmetry. Based on one of 2D nonsymmorphic square lattice structures they proposed, we further construct…

Materials Science · Physics 2019-05-22 Pok-Man Chiu , Cheng-Yi Huang , Wan-Ju Li , Ting-Kuo Lee

We examine the influence of weak anisotropic interactions on the T=0 phase diagram of the frustrated two-leg Heisenberg ladder, a well-studied spin model exhibiting integer and fractional magnetization plateaux separated by gapless…

Strongly Correlated Electrons · Physics 2008-08-18 Karlo Penc , Jean-Baptiste Fouet , Shin Miyahara , Oleg Tchernyshyov , Frederic Mila

We map the phase diagram of the triangular-lattice Majorana-Hubbard model on a four-leg ladder using DMRG and variational uniform matrix product states, revealing a richer variety of phases than previously known. Analysis of…

Strongly Correlated Electrons · Physics 2026-04-29 Will Holdhusen , Alberto Nocera , Jian-Xin Zhu , Armin Rahmani

Three-dimensional topological semimetals can support band crossings along one-dimensional curves in the momentum space (nodal lines or Dirac lines) protected by structural symmetries and topology. We consider rhombohedrally (ABC) stacked…

Mesoscale and Nanoscale Physics · Physics 2018-01-15 T. Hyart , R. Ojajärvi , T. T. Heikkilä

We study the quadrupolar Kitaev model, an $S=1$ honeycomb-lattice model with frustrated bond-dependent quadrupolar interactions. Using complementary methods and expanding around controlled limits, we uncover several intertwined structures.…

Strongly Correlated Electrons · Physics 2026-05-05 Partha Sarker , Han Ma , Urban F. P. Seifert

We study a periodically driven one dimensional Kitaev model in the presence of disorder. In the clean limit our model exhibits four topological phases corresponding to the existence or non-existence of edge modes at zero and pi quasienergy.…

We study the phase diagram of two different mixed-dimensional $t-J_z-J_{\perp}$-models on the square lattice, in which the hopping amplitude $t$ is only nonzero along the $x$-direction. In the first, bosonic, model, the spin exchange…

Quantum Gases · Physics 2023-02-22 Julius Dicke , Lukas Rammelmüller , Fabian Grusdt , Lode Pollet

We theoretically study the topological properties of the tight-binding model on the breathing kagome lattice with antisymmetric spin-orbit coupling (SOC) between nearest neighbors. We show that the system hosts nontrivial topological phases…

Mesoscale and Nanoscale Physics · Physics 2019-04-29 Adrien Bolens , Naoto Nagaosa

Phase transitions of the mixed spin-1/2 and spin-S (S >= 1/2) Ising model on a three-dimensional (3D) decorated lattice with a layered magnetic structure are investigated within the framework of a precise mapping relationship to the simple…

Statistical Mechanics · Physics 2009-11-13 Jozef Strecka , Jan Dely , Lucia Canova

We propose a lattice model for strongly interacting electrons with the potential to explain the main phenomenology of the strange metal phase in the cuprate high temperature superconductors. Our model is motivated by the recently developed…

Strongly Correlated Electrons · Physics 2018-10-23 Xiaochuan Wu , Xiao Chen , Chao-Ming Jian , Yi-Zhuang You , Cenke Xu

Periodically driven quantum many-body systems support anomalous topological phases of matter, which cannot be realized by static systems. In many cases, these anomalous phases can be many-body localized, which implies that they are stable…

Mesoscale and Nanoscale Physics · Physics 2019-06-14 I. C. Fulga , M. Maksymenko , M. T. Rieder , N. H. Lindner , E. Berg

We study the quantum phase transition between Abelian and non-Abelian phases in an extended Kitaev spin model on the honeycomb lattice, where the periodic boundary condition is applied by placing the lattice on a torus. Our analytical…

Statistical Mechanics · Physics 2015-05-13 Xiao-Feng Shi , Yue Yu , J. Q. You , Franco Nori

We study the ground-state phase diagram of the spin-$1/2$ Kitaev-Heisenberg model on the bilayer honeycomb lattice with large-scale tensor network calculations based on the infinite projected entangled pair state technique as well as…

Strongly Correlated Electrons · Physics 2024-12-24 Elahe Samimi , Antonia Duft , Patrick Adelhardt , Kai Phillip Schmidt , Saeed S. Jahromi