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In this paper a duality between the d=2 Wen-plaquette model in a transverse field and the d=1 Ising model in a transverse field is used to learn the nature of the quantum phase transition (QPT) between a spin-polarized phase and a…

Quantum Physics · Physics 2007-09-17 Jing Yu , Su-Peng Kou , Xiao-Gang Wen

We study the field-induced quantum phase transitions (QPT) and the relevant magnetic properties of a spin-1/2 two-leg integrable spin ladder (ISL), of which the system parameters in bridging to the real compounds are determined by setting…

Strongly Correlated Electrons · Physics 2007-05-23 Zu-Jian Ying , Itzhak Roditi , Huan-Qiang Zhou

We study a spin-1/2 XXZ model with a four-spin interaction on a two-leg ladder. By means of effective field theory and matrix product state calculations, we obtain rich ground-state phase diagrams that consist of eight distinct gapped…

Strongly Correlated Electrons · Physics 2021-08-25 Takuhiro Ogino , Shunsuke Furukawa , Ryui Kaneko , Satoshi Morita , Naoki Kawashima

We update a one-dimensional chain of Ising spins of length $L$ with algorithms which are parameterized by the probability $p$ for a certain site to get updated in one time step. The result of the update event itself is determined by the…

Other Condensed Matter · Physics 2008-11-18 Filippo Radicchi , Daniele Vilone , Hildegard Meyer-Ortmanns

We investigate transitions between topologically ordered phases in two spatial dimensions induced by the condensation of a bosonic quasiparticle. To this end, we formulate an extension of the theory of symmetry breaking phase transitions…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. A. Bais , J. K. Slingerland

The phase diagram of a frustrated S=1/2 antiferromagnetic spin ladder with additional next-nearest neighbor exchanges, both diagonal and inchain, is studied by a weak-coupling effective field theory approach combined with exact…

Strongly Correlated Electrons · Physics 2007-05-23 Temo Vekua , Andreas Honecker

Novel competing orders are found in spin 3/2 cold atomic systems in one-dimensional optical traps and lattices. In particular, the quartetting phase, a four-fermion counterpart of Cooper pairing, exists in a large portion of the phase…

Strongly Correlated Electrons · Physics 2007-05-23 Congjun Wu

We study symmetry-protected topological (SPT) phase transitions induced by stacking two gapped one-dimensional subsystems in BDI symmetry class. The topological invariant of the entire system is a sum of three topological invariants: two…

Mesoscale and Nanoscale Physics · Physics 2023-06-09 Sang-Jun Choi , Björn Trauzettel

We investigate the interplay of localization, interactions and (pseudo)spin degrees of freedom on quantum states of particles on the lattice. Our results show that breaking the paradigm density-density interaction $U_0\gg$…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 A. M. Belemuk , N. M. Chtchelkatchev , A. V. Mikheyenkov , Wu-Ming Liu

We show that the ground-state expectation value of twisting operator is a topological order parameter for $\text{U}(1)$- and $\mathbb{Z}_{N}$-symmetric symmetry-protected topological (SPT) phases in one-dimensional "spin" systems -- it is…

Strongly Correlated Electrons · Physics 2025-10-08 Hang Su , Yuan Yao , Akira Furusaki

We perform simulations of random Ising models defined over small-world networks and we check the validity and the level of approximation of a recently proposed effective field theory. Simulations confirm a rich scenario with the presence of…

Disordered Systems and Neural Networks · Physics 2015-03-13 A. L. Ferreira , J. F. F. Mendes , M. Ostilli

Finding the precise correspondence between lattice operators and the continuum fields that describe their long-distance properties is a largely open problem for strongly interacting critical points. Here we solve this problem essentially…

Statistical Mechanics · Physics 2014-10-29 Roger S. K. Mong , David J. Clarke , Jason Alicea , Netanel H. Lindner , Paul Fendley

We present a theory of the anisotropy tuned quantum phase transition between spin nematic and spin-Peierls phases in S=1 systems with significant bi-quadratic exchange interactions. Based on quantum Monte Carlo studies on finite size…

Strongly Correlated Electrons · Physics 2009-11-13 Christoph M. Puetter , Michael J. Lawler , Hae-Young Kee

We analyze the possible quantum phase transition patterns occurring within the $O(N) \times {\mathbb{Z}_2}$ scalar multi-field model at vanishing temperatures in $(1+1)$-dimensions. The physical masses associated with the two coupled scalar…

High Energy Physics - Theory · Physics 2022-08-05 Gustavo O. Heymans , Marcus Benghi Pinto , Rudnei O. Ramos

A large number of symmetry-protected topological (SPT) phases have been hypothesized for strongly interacting spin-1/2 systems in one dimension. Realizing these SPT phases, however, often demands fine-tunings hard to reach experimentally.…

Quantum Gases · Physics 2019-05-21 Haiyuan Zou , Erhai Zhao , Xi-Wen Guan , W. Vincent Liu

We investigate the nature of the quantum phase transition in modulated SU(N) Heisenberg spin chains. In the odd-N case, the transition separates a trivial non-degenerate phase to a doubly-degenerate gapped chiral PSU(N) symmetry-protected…

Strongly Correlated Electrons · Physics 2025-01-16 Sylvain Capponi , Lukas Devos , Philippe Lecheminant , Keisuke Totsuka , Laurens Vanderstraeten

We study the phase diagram of a class of models in which a generalized cluster interaction can be quenched by Ising exchange interaction and external magnetic field. We characterize the various phases through winding numbers. They may be…

Statistical Mechanics · Physics 2017-09-06 Wei Nie , Feng Mei , Luigi Amico , Leong Chuan Kwek

Spin systems exposed to the influence of random magnetic fields are paradigmatic examples for studying the effect of quenched disorder on condensed-matter systems. In this context, previous studies have almost exclusively focused on systems…

Statistical Mechanics · Physics 2025-04-08 Manoj Kumar , Martin Weigel

We present a theory for the two kinds of dynamical quantum phase transitions, termed DPT-I and DPT-II, based on a minimal set of symmetry assumptions. In the special case of collective systems with infinite-range interactions, both are…

Statistical Mechanics · Physics 2023-03-10 Ángel L. Corps , Armando Relaño

A simplified Ginzburg-Landau theory is presented to study generally a coupling of a first-order phase transition (FOPT) to a second-order phase transition (SOPT). We show analytically that, due to the coupling between the two phase…

Condensed Matter · Physics 2007-05-23 Fan Zhong
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