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We investigate the two-leg Hubbard model with diagonal hopping to explore the interplay between geometrical frustration and strong electron-electron interactions. Using the Density Matrix Renormalization Group (DMRG) method, we demonstrate…

Strongly Correlated Electrons · Physics 2025-04-04 João Pedro Gama D'Elia , Thereza Paiva

We study spin-half and spin-one Heisenberg models in the limit where one dimensional (1-D) linear chains, with exchange constant J1, are weakly coupled in an anisotropic triangular lattice geometry. Results are obtained by means of…

Strongly Correlated Electrons · Physics 2009-11-13 T. Pardini , R. R. P. Singh

We describe how to design a large class of always on spin-1 interactions between polar molecules trapped in an optical lattice. The spin degrees of freedom correspond to the hyperfine levels of a ro-vibrational ground state molecule.…

Quantum Physics · Physics 2009-11-13 Gavin K. Brennen , Andrea Micheli , Peter Zoller

We present an organic compound exhibiting a spin-Peierls (SP) transition to an effective spin-1 antiferromagnetic uniform chain, that is, the Haldane chain. The clear disappearance of magnetization, accompanied by a structural phase…

Strongly Correlated Electrons · Physics 2023-04-28 Hironori Yamaguchi , Hiroki Takahashi , Takashi Kawakami , Kiyomi Okamoto , Toru Sakai , Takeshi Yajima , Yoshiki Iwasaki

The discovery of topological phases in condensed matter systems has changed the modern conception of phases of matter. The global nature of topological ordering makes these phases robust and hence promising for applications. However, the…

Fractionalization is a phenomenon in which strong interactions in a quantum system drive the emergence of excitations with quantum numbers that are absent in the building blocks. Outstanding examples are excitations with charge e/3 in the…

Existence of nontrivial topological phases in a tight binding Haldane-like model on the depleted Lieb lattice is reported. This two-band model is formulated by considering the nearest-neighbor, next-nearest-neighbor and…

Mesoscale and Nanoscale Physics · Physics 2023-12-18 Arghya Sil , Asim Kumar Ghosh

We show that ultracold two-component fermionic dipolar gases in an optical lattice with strong two-body on-site loss can be used to realize a tunable effective spin-one model. Fermion number conservation provides an unusual constraint that…

Quantum Gases · Physics 2011-05-05 J. P. Kestner , Bin Wang , Jay D. Sau , S. Das Sarma

We study different phases of the one-dimensional bond-alternating spin-$1/2$ Heisenberg model by using the symmetry fractionalization mechanism. We employ the infinite matrix-product state representation of the ground state (through the…

Strongly Correlated Electrons · Physics 2014-10-20 R. Haghshenas , A. Langari , A. T. Rezakhani

We propose a lattice scale two-band generalized Hubbard model as a caricature of the electronic structure of twisted bilayer graphene. Various possible broken symmetry phases can arise, including a nematic phase (which is a form of orbital…

Superconductivity · Physics 2018-08-29 John F. Dodaro , Steven A. Kivelson , Yoni Schattner , Xiao-Qi Sun , Chao Wang

Here we study the emergence of different Symmetry-Protected Topological (SPT) phases in a spin-2 quantum chain. We consider a Heisenberg-like model with bilinear, biquadratic, bicubic, and biquartic nearest-neighbor interactions, as well as…

Strongly Correlated Electrons · Physics 2015-05-20 Augustine Kshetrimayum , Hong-Hao Tu , Roman Orus

Using first principles methods, we investigate topological phase transitions as a function of exchange field in a Bi(111) bilayer. Evaluation of the spin Chern number for different magnitudes of the exchange field reveals that when the time…

Materials Science · Physics 2013-08-22 Hongbin Zhang , Frank Freimuth , Gustav Bihlmayer , Stefan Blügel , Yuriy Mokrousov

The special surface transition at (2+1)-dimensional quantum critical point is precluded in corresponding classical critical point. The mechanism of such behavior which is only found in dimerized Heisenberg models so far is still under…

Strongly Correlated Electrons · Physics 2021-01-21 Wenjing Zhu , Chengxiang Ding , Long Zhang , Wenan Guo

Here we present a flexible strategy to realize robust nanomaterials exhibiting valence electronic structures whose fundamental physics is described by the SSH-Hamiltonian. These solid-state materials are realized using atomically precise…

We analyze the non-Hermitian Haldane model where the spin-orbit interaction is made non-Hermitian. The Dirac mass becomes complex. We propose to realize it by an $LC$ circuit with operational amplifiers. A topological phase transition is…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Motohiko Ezawa

We study the evolution of the dynamical spin structure factor in a spin-1 antiferromagnetic Heisenberg chain which is randomly doped with spin-1/2 moments. Using stochastic series expansion Quantum Monte Carlo simulations combined with the…

Strongly Correlated Electrons · Physics 2009-11-07 Stefan Wessel , Stephan Haas

Photonic topological materials with a broken time reversal symmetry are characterized by nontrivial topological phases, such that they do not support propagation in the bulk region but forcibly support a nontrivial net number of…

Applied Physics · Physics 2021-10-11 Filipa R. Prudêncio , Mário G. Silveirinha

Topologically ordered phase has emerged as one of most exciting concepts that not only broadens our understanding of phases of matter, but also has been found to have potential application in fault-tolerant quantum computation. The direct…

Quantum Physics · Physics 2016-06-01 Zhihuang Luo , Chao Lei , Jun Li , Xinfang Nie , Zhaokai Li , Xinhua Peng , Jiangfeng Du

The interplay between topology and magnetism often triggers the exotic quantum phases. Here, we report an accessible scheme to engineer the robust $\mathbb{Z}_{2}$ topology by intrinsic magnetism, originating from the zigzag segment…

Mesoscale and Nanoscale Physics · Physics 2025-11-05 Wei-Jian Li , Da-Fei Sun , Sheng Ju , Ai-Lei He , Yuan Zhou

For the time being isotropic three-body exchange interactions are scarcely explored and mostly used as a tool for constructing various exactly solvable one-dimensional models, although, generally speaking, such competing terms in generic…

Strongly Correlated Electrons · Physics 2014-10-08 N. B. Ivanov , J. Ummethum , J. Schnack
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