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Quantum skyrmionic phase is modelled in a 2D helical spin lattice. This topological skyrmionic phase retains its nature in a large parameter space before moving to a ferromagnetic phase. Next nearest-neighbour interaction improves the…

Strongly Correlated Electrons · Physics 2023-04-18 Vipin Vijayan , L. Chotorlishvili , A. Ernst , S. S. P. Parkin , M. I. Katsnelson , S. K. Mishra

Topological invariants have proved useful for analyzing emergent function as they characterize a property of the entire system, and are insensitive to local details, disorder, and noise. They support boundary states, which reduce the system…

Statistical Mechanics · Physics 2025-10-10 Jaime Agudo-Canalejo , Evelyn Tang

Topological phases protected by symmetry can occur in gapped and---surprisingly---in critical systems. We consider non-interacting fermions in one dimension with spinless time-reversal symmetry. It is known that the phases are classified by…

Strongly Correlated Electrons · Physics 2019-06-18 Nick G. Jones , Ruben Verresen

Quantum physics enables parameter estimation with precisions beyond the capability of classical sensors. Quantum criticality is a key resource for this quantum-enhanced sensing, but experimental realization has been challenging due to the…

Quantum Physics · Physics 2026-02-10 Lei Xiao , Saubhik Sarkar , Kunkun Wang , Abolfazl Bayat , Peng Xue

We present a numerical study of a quantum phase transition from a spin-polarized to a topologically ordered phase in a system of spin-1/2 particles on a torus. We demonstrate that this non-symmetry-breaking topological quantum phase…

Quantum Physics · Physics 2008-06-07 A. Hamma , W. Zhang , S. Haas , D. A. Lidar

Non-Hermitian physics predicts open quantum system dynamics with unique topological features such as exceptional points and the non-Hermitian skin effect. We show that this new paradigm of topological systems can serve as probes for bulk…

Quantum Physics · Physics 2024-08-28 Saubhik Sarkar , Francesco Ciccarello , Angelo Carollo , Abolfazl Bayat

We investigate the emergence of universal dynamical scaling in quantum critical spin systems adiabatically driven out of equilibrium, with emphasis on quench dynamics which involves non-isolated critical points (i.e., critical regions) and…

Statistical Mechanics · Physics 2009-11-13 Shusa Deng , Gerardo Ortiz , Lorenza Viola

Non-Hermiticity enriches the contents of topological classification of matter including exceptional points, bulk-edge correspondence and skin effect. Gain and loss can be described by imaginary diagonal elements in Hamiltonians and the…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 X. L. Zhao , L. B. Chen , L. B. Fu , X. X. Yi

Quantum computers promise to perform computations beyond the reach of modern computers with profound implications for scientific research. Due to remarkable technological advances, small scale devices are now becoming available for use. One…

Strongly Correlated Electrons · Physics 2022-05-20 Adam Smith , Bernhard Jobst , Andrew G. Green , Frank Pollmann

We propose the c-function as a new and accurate probe to detect the location of topological quantum critical points. As a direct application, we consider a holographic model which exhibits a topological quantum phase transition between a…

High Energy Physics - Theory · Physics 2021-01-20 Matteo Baggioli , Dimitrios Giataganas

We study the quantum critical phenomena emerging at the transition from triple-Weyl semimetal to band insulator, which is a topological phase transition described by the change of topological invariant. The critical point realizes a new…

Strongly Correlated Electrons · Physics 2019-05-17 Jing-Rong Wang , Guo-Zhu Liu , Chang-Jin Zhang

In symmetry protected topological (SPT) phases, the combination of symmetries and a bulk gap stabilizes protected modes at surfaces or at topological defects. Understanding the fate of these modes at a quantum critical point, when the…

Strongly Correlated Electrons · Physics 2021-10-06 Shang Liu , Hassan Shapourian , Ashvin Vishwanath , Max A. Metlitski

Topological boundary modes can occur at the spatial interface between a topological and gapped trivial phase and exhibit a wavefunction that exponentially decays in the gap. Here we argue that this intuition fails for a temporal boundary…

Mesoscale and Nanoscale Physics · Physics 2021-04-30 Ching Hua Lee , Justin C. W. Song

Open driven quantum systems have defined a powerful paradigm of nonequilibrium phases and phase transitions; however, quantum phase transitions are generically not expected in this setting due to the decohering effect of dissipation. In…

Quantum Gases · Physics 2026-02-18 Mostafa Ali , Naushad A. Kamar , Alireza Seif , Mohammad Maghrebi

An exactly solvable Kitaev model in a two-dimensional square lattice exhibits a topological quantum phase transition which is different from the symmetry-breaking transition at zero temperature. When the ground state of a nonlinearly…

Quantum Physics · Physics 2025-03-11 Leela Ganesh Chandra Lakkaraju , Sudip Kumar Haldar , Aditi Sen De

Non-Hermiticity can vary the topology of system, induce topological phase transition, and even invalidate the conventional bulk-boundary correspondence. Here, we show the introducing of non-Hermiticity without affecting the topological…

Mesoscale and Nanoscale Physics · Physics 2019-07-30 K. L. Zhang , H. C. Wu , L. Jin , Z. Song

Quantum ground states on the non-trivial side of a topological quantum critical point (TQCP) have unique properties that make them attractive candidates for quantum information applications. A recent example is provided by s-wave…

Strongly Correlated Electrons · Physics 2012-04-19 Sumanta Tewari , J. D. Sau , V. W. Scarola , Chuanwei Zhang , S. Das Sarma

It is often thought that emergent phenomena in topological phases of matter are destroyed when tuning to a critical point. In particular, topologically protected edge states supposedly delocalize when the bulk correlation length diverges.…

Strongly Correlated Electrons · Physics 2020-03-13 Ruben Verresen

When a metal undergoes a continuous quantum phase transition, non-Fermi liquid behaviour arises near the critical point. It is standard to assume that all low-energy degrees of freedom induced by quantum criticality are spatially extended,…

Strongly Correlated Electrons · Physics 2009-10-31 Qimiao Si , Silvio Rabello , Kevin Ingersent , Lleweilun Smith

Topological holography is a holographic principle that describes the generalized global symmetry of a local quantum system in terms of a topological order in one higher dimension. This framework separates the topological data from the local…

Strongly Correlated Electrons · Physics 2025-07-02 Sheng-Jie Huang , Meng Cheng