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Insulating quantum spin liquids can undergo a confinement transition to a valence bond solid state via the condensation of topological excitations of the associated gauge theory. We extend the theory of such transitions to fractionalized…

Strongly Correlated Electrons · Physics 2016-04-26 Aavishkar A. Patel , Debanjan Chowdhury , Andrea Allais , Subir Sachdev

We study transitions between phases of matter with topological order. By studying these transitions in exactly solvable lattice models we show how universality classes may be identified and critical properties described. As a familiar…

Strongly Correlated Electrons · Physics 2015-05-20 F. J. Burnell , Steven H. Simon , J. K. Slingerland

It is demonstrated that fermionic/bosonic symmetry-protected topological (SPT) phases across different dimensions and symmetry classes can be organized using geometric constructions that increase dimensions and symmetry-forgetting maps that…

Strongly Correlated Electrons · Physics 2018-03-28 Charles Zhaoxi Xiong , A. Alexandradinata

Topologically-ordered phases of matter, although stable against local perturbations, are usually restricted to relatively small regions in phase diagrams. Their preparation requires thus a precise fine tunning of the system's parameters, a…

Strongly Correlated Electrons · Physics 2020-10-21 Daniel González-Cuadra , Luca Tagliacozzo , Maciej Lewenstein , Alejandro Bermudez

We propose a minimal interacting lattice model for two-dimensional class-$D$ higher-order topological superconductors with no free-fermion counterpart. A Lieb-Schultz-Mattis-type constraint is proposed and applied to guide our lattice model…

Strongly Correlated Electrons · Physics 2023-08-15 Hao-Ran Zhang , Jian-Hao Zhang , Zheng-Cheng Gu , Rui-Xing Zhang , Shuo Yang

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…

Strongly Correlated Electrons · Physics 2025-11-13 Aminul Hussain , Nisa Ara , Rudranil Basu , Sudeshna Sen

We provide a classification of invertible topological phases of interacting fermions with symmetry in two spatial dimensions for general fermionic symmetry groups $G_f$ and general values of the chiral central charge $c_-$. Here $G_f$ is a…

Strongly Correlated Electrons · Physics 2022-07-11 Maissam Barkeshli , Yu-An Chen , Po-Shen Hsin , Naren Manjunath

We have studied the properties of the phase transition in the U(1) compact pure gauge model paying special atention to the influence of the topology of the boundary conditions. From the behavior of the energy cumulants and the observation…

High Energy Physics - Lattice · Physics 2009-10-31 Isabel Campos , Andres Cruz , Alfonso Tarancon

The dynamical and topological properties of non-Hermitian systems have attracted great attention in recent years. In this work, we establish an intrinsic connection between two classes of intriguing phenomena -- topological phases and…

Quantum Physics · Physics 2021-06-18 Longwen Zhou , Qianqian Du

Besides exploring novel transition patterns, acquiring a full understanding of the transition nature is an ultimate pursuit in studies of phase transitions. The fundamental models of light-matter interactions manifest single-qubit…

Quantum Physics · Physics 2024-05-09 Zu-Jian Ying

We propose a series of simple $2d$ lattice interacting fermion models that we demonstrate at low energy describe bosonic symmetry protected topological (SPT) states and quantum phase transitions between them. This is because due to…

Strongly Correlated Electrons · Physics 2016-03-09 Yi-Zhuang You , Zhen Bi , Dan Mao , Cenke Xu

We investigate experimentally the dynamic phase transition of a two-dimensional active nematic layer interfaced with a passive liquid crystal. Under a temperature ramp that leads to the transition of the passive liquid into a highly…

We demonstrate that the classical dimer model defined on a toroidal hexagonal lattice acquires holonomy phases in the thermodynamic limit. When all activities are equal the lattice sizes must be considered mod 6 in which case the finite…

High Energy Physics - Theory · Physics 2008-12-22 Charles Nash , Denjoe O'Connor

The classification and lattice model construction of symmetry protected topological (SPT) phases in interacting fermion systems are very interesting but challenging. In this paper, we give a systematic fixed point wave function construction…

Strongly Correlated Electrons · Physics 2020-09-16 Qing-Rui Wang , Zheng-Cheng Gu

In this work, we investigate the classical loop models doped with monomers and dimers on a square lattice, whose partition function can be expressed as a tensor network (TN). In the thermodynamic limit, we use the boundary matrix product…

Statistical Mechanics · Physics 2015-04-10 Sazi Li , Wei Li , Ziyu Chen

We show that sharply defined topological quantum phase transitions are not limited to states of matter with gapped electronic spectra. Such transitions may also occur between two gapless metallic states both with extended Fermi surfaces.…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Xuzhe Ying , Alex Kamenev

The earlier theory [1] of the quantum phase transitions related to the change of the Fermi Surface Topology (FST) is advanced. For such transitions the Fermi surface as a quantum critical manifold determined by the Lee-Yang zeros, the order…

Strongly Correlated Electrons · Physics 2026-05-20 Gennady Y. Chitov

We study the quantum critical point between the fermionic $\nu=8$ quantum Hall state and the bosonic $\nu=2$ quantum Hall state of Cooper pairs. Our study is motivated by the composite fermion construction for the daughter states of…

Mesoscale and Nanoscale Physics · Physics 2025-08-26 Evgenii Zheltonozhskii , Ady Stern , Netanel H. Lindner

Magnetic phase transitions are a test bed for exploring the physics of non-equilibrium phenomena in condensed matter, which become even more complex when topological constraints are involved. In particular, the investigation of skyrmions…

Mesoscale and Nanoscale Physics · Physics 2018-11-15 Leonardo Pierobon , Christoforos Moutafis , Yu Li , Jörg F. Löffler , Michalis Charilaou

We study the double occupancy in a fermionic Mott insulator at half-filling generated via a dynamical periodic modulation of the hopping amplitude. Tuning the modulation amplitude, we describe a crossover in the nature of doublon-holon…

Quantum Gases · Physics 2010-06-02 Fabian Hassler , Andreas Rüegg , Manfred Sigrist , Gianni Blatter