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A series of symmetry-protected topological(SPT) and trivial spin-gap phases in the spin-1/2 ferromagnetic--antiferromagnetic alternating Heisenberg chain with alternating next-nearest-neighbour interaction are investigated using two kinds…

强关联电子 · 物理学 2016-11-28 Kazuo Hida

Under the widely accepted but unproven assumption that the one-dimensional S=1 antiferromagnetic Heisenberg model has a unique gapped ground state, we prove that the model belongs to a nontrivial symmetry-protected topological (SPT) phase.…

统计力学 · 物理学 2026-04-13 Hal Tasaki

We report that a spin-1/2 tetrahedral Heisenberg chain realizes a gapless symmetry-protected topological (gSPT) phase characterized by the coexistence of the Tomonaga-Luttinger-liquid criticality due to chirality degrees of freedom and the…

强关联电子 · 物理学 2022-07-07 Shunsuke C. Furuya , Katsuhiro Morita

We use a combination of density matrix renormalization group calculations and analytical approaches to study a simplified model for a spatially anisotropic spin-1/2 triangular lattice Heisenberg antiferromagnet: the three-leg triangular…

强关联电子 · 物理学 2013-04-30 Ru Chen , Hyejin Ju , Hong-Chen Jiang , Oleg A. Starykh , Leon Balents

We study a frustrated two-leg spin ladder with alternate isotropic Heisenberg and Ising rung exchange interactions, whereas, interactions along legs and diagonals are Ising-type. All the interactions in the ladder are anti-ferromagnetic in…

强关联电子 · 物理学 2020-11-25 Sk Saniur Rahaman , Shaon Sahoo , Manoranjan Kumar

We map the ground-state ensemble of antiferromagnetic Ising model of spin-S on a triangular lattice to an interface model whose entropic fluctuations are proposed to be described by an effective Gaussian free energy, which enables us to…

凝聚态物理 · 物理学 2009-10-28 C. Zeng , C. L. Henley

We study the phase diagram of the spin-1 antiferromagnetic Heisenberg chain with uniaxial anisotropy and applied magnetic field in terms of the genuine multipartite entanglement as witnessed by the mean quantum Fisher information density.…

强关联电子 · 物理学 2023-05-31 J. Lambert , Erik S. Sørensen

We systematically study gapless edge modes corresponding to $\mathbb{Z}_3$ symmetry-protected topological (SPT) phases of two-dimensional three-state Potts paramagnets on a triangular lattice. First, we derive microscopic lattice models for…

Employing mainly numerical methods, we explore the ground-state phase diagram of an anisotropic $S=1/2$ ladder, in which leg interactions are uniform and isotropic, while rung interactions are alternating and have a common Ising-type…

强关联电子 · 物理学 2016-03-15 Takashi Tonegawa , Kiyomi Okamoto , Toshiya Hikihara , Tôru Sakai

We describe recent progress in our understanding of the interplay between interactions, symmetry, and topology in states of quantum matter. We focus on a minimal generalization of the celebrated topological band insulators to interacting…

强关联电子 · 物理学 2015-08-05 T. Senthil

The interplay between non-trivial band topology and strong electronic correlations is a central challenge in modern condensed matter physics. We investigate this competition on a two-leg ladder model with a p-wave-like hybridisation between…

强关联电子 · 物理学 2025-11-13 Aminul Hussain , Nisa Ara , Rudranil Basu , Sudeshna Sen

The classification and construction of symmetry protected topological (SPT) phases have been intensively studied in interacting systems recently. To our surprise, in interacting fermion systems, there exists a new class of the so-called…

强关联电子 · 物理学 2020-01-28 Qing-Rui Wang , Yang Qi , Zheng-Cheng Gu

Topology in quantum many-body systems has profoundly changed our understanding of quantum phases of matter. The paradigmatic model that has played an instrumental role in elucidating these effects is the antiferromagnetic spin-1 Haldane…

According to the classification using projective representations of the SO(3) group, there exist two topologically distinct gapped phases in spin-1 chains. The symmetry-protected topological (SPT) phase possesses half-integer projective…

强关联电子 · 物理学 2014-01-09 Wei Li , Andreas Weichselbaum , Jan von Delft

Symmetry-protected topological (SPT) phases are commonly required to have an energy gap, but recent work has extended the concept to gapless settings. This raises a natural question: what happens at transitions between inequivalent gapless…

强关联电子 · 物理学 2025-09-26 Saranesh Prembabu , Ruben Verresen

The antiferromagnetic sawtooth chain is a prototypical example of a frustrated spin system with vertex-sharing triangles, giving rise to complex quantum states. Depending on the interaction parameters, this system has three phases, of which…

强关联电子 · 物理学 2025-01-28 R. Rausch , C. Karrasch

We theoretically demonstrate that interacting symmetry-protected topological (SPT) phases can be realized with ultracold spinful bosonic atoms loaded on the lattices which have a flat band at the bottom of the band structure. Ground states…

量子气体 · 物理学 2021-06-18 Hong Yang , Hayate Nakano , Hosho Katsura

The antiferromagnetic Ising model on a triangular lattice (AFIT) exemplifies the most classical frustration system, arising from its triangular geometry that prevents all interactions from being simultaneously satisfied. Understanding…

介观与纳米尺度物理 · 物理学 2025-01-20 Ke Wang , Xing-Jian Liu , Li-Ming Tu , Jia-Jie Zhang , Vladimir N. Gladilin , Jun-Yi Ge

By using mainly numerical methods, we investigate the ground-state phase diagram (GSPD) of an $S=1$ ferromagnetic-antiferromagnetic bond-alternating chain with the $XXZ$ and the on-site anisotropies. This system can be mapped onto an…

强关联电子 · 物理学 2020-04-22 Kiyomi Okamoto , Takashi Tonegawa , Makoto Kaburagi , Tôru Sakai

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…

强关联电子 · 物理学 2026-04-29 Will Holdhusen , Alberto Nocera , Jian-Xin Zhu , Armin Rahmani
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