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Ground-state behaviour of the frustrated quantum spin-1/2 two-leg ladder with the Heisenberg intra-rung and Ising inter-rung interactions is examined in detail. The investigated model is transformed to the quantum Ising chain with composite…

Statistical Mechanics · Physics 2012-07-19 Taras Verkholyak , Jozef Strecka

We find the classification of diagonal spin ladders depending on a characteristic integer $N_p$ in terms of ferrimagnetic, gapped and critical phases. We use the finite algorithm DMRG, non-linear sigma model and bosonization techniques to…

Strongly Correlated Electrons · Physics 2009-11-10 M. A. Martin-Delgado , J. Rodriguez-Laguna , G. Sierra

Topological or deconfined phases are characterized by emergent, weakly fluctuating, gauge fields. In condensed matter settings they inevitably come coupled to excitations that carry the corresponding gauge charges which invalidate the…

Strongly Correlated Electrons · Physics 2011-03-18 K. Gregor , David A. Huse , R. Moessner , S. L. Sondhi

The ordering temperature of a quasi-one-dimensional system, consisting of weakly interacting quantum spin-1/2 chains with antiferromagnetic spin-frustrating couplings (or zig-zag ladder) is calculated. The results show that a quantum…

Strongly Correlated Electrons · Physics 2009-11-13 A. A. Zvyagin , S. -L. Drechsler

Topological orders are exotic phases of matter existing in strongly correlated quantum systems, which are beyond the usual symmetry description and cannot be distinguished by local order parameters. Here we report an experimental quantum…

Quantum Physics · Physics 2015-06-22 Xinhua Peng , Zhihuang Luo , Supeng Kou , Dieter Suter , Jiangfeng Du

The phase diagram of a frustrated spin-$S$ zig-zag ladder is studied through different numerical and analytical methods. We show that for arbitrary $S$, there is a family of Hamiltonians for which a fully-dimerized state is an exact ground…

Quantum Physics · Physics 2015-01-21 J. M. Matera , C. A. Lamas

For any translation-invariant quantum lattice system with a symmetry group G, we propose a practical and universal construction of order parameters which identify quantum phase transitions with symmetry-breaking order. They are defined in…

Statistical Mechanics · Physics 2009-09-17 Jin-Hua Liu , Qian-Qian Shi , Hong-Lei Wang , Jon Links , Huan-Qiang Zhou

Topological phases have been extensively studied over the past two decades, primarily in quantum pure states, where they are protected by exact symmetries. Recently, numerous studies have theoretically demonstrated the existence of average…

We study numerically the ground-state phase diagram of the bilinear-biquadratic spin-1 chain near the ferromagnetic instability point, where the existence of a gapped or gapless nondimerized quantum nematic phase has been suggested. Our…

Strongly Correlated Electrons · Physics 2016-08-16 K. Buchta , G. Fáth , Ö. Legeza , J. Sólyom

We introduce the notion of a dynamical topological order parameter (DTOP) that characterises dynamical quantum phase transitions (DQPTs) occurring in the subsequent temporal evolution of "two dimensional" closed quantum systems, following a…

Statistical Mechanics · Physics 2017-07-19 Utso Bhattacharya , Amit Dutta

We reveal the connection between two-dimensional subsystem symmetry-protected topological (SSPT) states and two-dimensional topological orders via a self-dual frustrated toric code model. This model, an enrichment of the toric code (TC)…

Strongly Correlated Electrons · Physics 2024-02-28 Shi Feng

We describe two dimensional models with a metallic Fermi surface which display quantum phase transitions controlled by strongly interacting critical field theories below their upper critical dimension. The primary examples involve…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Takao Morinari

Topological order is defined by topological invariants, rather than symmetries and local order parameters. Nonetheless some topological phases can be characterized by string order parameters and entanglement. In this article we study how…

Strongly Correlated Electrons · Physics 2026-05-26 Sirshendu Bhattacharyya , Szczepan Głodzik , Nicholas Sedlmayr

Determining the phase diagram of systems consisting of smaller subsystems 'connected' via a tunable coupling is a challenging task relevant for a variety of physical settings. A general question is whether new phases, not present in the…

Disordered Systems and Neural Networks · Physics 2020-09-29 W. Rzadkowski , N. Defenu , S. Chiacchiera , A. Trombettoni , G. Bighin

Differential-driven wheeled robots (DWR) represent the quintessential type of mobile robots and find extensive appli- cations across the robotic field. Most high-performance control approaches for DWR explicitly utilize the linear and…

Robotics · Computer Science 2025-11-18 Yong Li , Yujun Huang , Yi Chen , Hui Cheng

Machine-learning techniques have proved successful in identifying ordered phases of matter. However, it remains an open question how far they can contribute to the understanding of phases without broken symmetry, such as spin liquids. Here…

Strongly Correlated Electrons · Physics 2019-11-19 Jonas Greitemann , Ke Liu , Ludovic D. C. Jaubert , Han Yan , Nic Shannon , Lode Pollet

Topologically protected corner states serve as a key indicator for two-dimensional higher-order topological insulators, yet they have not been experimentally identified in realistic materials. Here, by utilizing the effective tight-binding…

Mesoscale and Nanoscale Physics · Physics 2024-10-15 Xiaolin Wan , Junjie Zeng , Ruixiang Zhu , Dong-Hui Xu , Baobing Zheng , Rui Wang

Neutron diffraction is used to investigate the field-induced, antiferromagnetically ordered state in the two-leg spin-ladder material (Hpip)2CuBr4. This "classical" phase, a consequence of weak interladder coupling, is nevertheless highly…

We characterize phases of the compass ladder model by using degenerate perturbation theory, symmetry fractionalization, and numerical techniques. Through degenerate perturbation theory we obtain an effective Hamiltonian for each phase of…

Strongly Correlated Electrons · Physics 2017-11-29 R. Haghshenas , A. Langari , A. T. Rezakhani

We investigate thermodynamic properties of a one-dimensional S=1/2 antiferromagnetic Heisenberg model coupled to a lattice distortion by a quantum Monte Carlo method. In particular we study how spin and lattice dimerize as a function of the…

Statistical Mechanics · Physics 2009-10-31 Hiroaki Onishi , Seiji Miyashita