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Since the seminal ideas of Berezinskii, Kosterlitz and Thouless, topological excitations are at the heart of our understanding of a whole novel class of phase transitions. In most of the cases, those transitions are controlled by a single…

We investigate the ground state competition at the transition from the spin unpolarized to spin ordered phase at filling factor $\nu=2/3$ in single layer heterostructure and at $\nu=2$ in double layer quantum well. To trace the quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. T. Dolgopolov , E. V. Deviatov , V. S. Khrapai , D. Reuter , A. D. Wieck , A. Wixforth , K. L. Campman , A. C. Gossard

Topological phase transitions can occur in the dissipative dynamics of a quantum system when the ratio of matrix elements for competing transport channels is varied. Here we establish a relation between such behavior in a class of…

Mesoscale and Nanoscale Physics · Physics 2010-10-19 M. S. Rudner , L. S. Levitov

By employing the spin-boson model in a dense limit of environmental modes, quantum entanglement and correlation of sub-Ohmic and Ohmic baths for dissipative quantum phase transitions are numerically investigated based on the variational…

Quantum Physics · Physics 2022-02-08 Xiaohui Qian , Zhe Sun , Nengji Zhou

The phase diagram of spins 1/2 embedded in a magnetic field mutually interacting antiferromagnetically is determined. Contrary to the ferromagnetic case where a second order quantum phase transition occurs, a first order transition is…

Strongly Correlated Electrons · Physics 2007-05-23 J. Vidal , R. Mosseri , J. Dukelsky

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

One of the important characteristics of topological phases of matter is the topology of the underlying manifold on which they are defined. In this paper, we present the sensitivity of such phases of matter to the underlying topology, by…

Strongly Correlated Electrons · Physics 2021-10-05 Amit Jamadagni , Arpan Bhattacharyya

We construct a model Hamiltonian for S = 2 spin chain, where a variable parameter $\alpha$ is introduced. The edge spin is S = 1 for $\alpha = 0$, and S = 3/2 for $\alpha = 1$. Due to the topological distinction of the edge states, these…

Strongly Correlated Electrons · Physics 2014-11-20 Jiadong Zang , Hong-Chen Jiang , Zheng-Yu Weng , Shou-Cheng Zhang

We consider a set of fully connected spins models that display first- or second-order transitions and for which we compute the ground-state entanglement in the thermodynamical limit. We analyze several entanglement measures (concurrence,…

Statistical Mechanics · Physics 2011-03-01 M. Filippone , S. Dusuel , J. Vidal

In a trapped Bose-Einstein condensate, subject to the action of an alternating external field, coherent topological modes can be resonantly excited. Depending on the amplitude of the external field and detuning parameter, there are two…

Quantum Physics · Physics 2007-09-25 E. R. F. Ramos , L. Sanz , V. I. Yukalov , V. S. Bagnato

The discovery of topological phases in condensed matter systems has changed the modern conception of phases of matter. The global nature of topological ordering makes these phases robust and hence promising for applications. However, the…

The elsewhere surmised topological origin of phase transitions is given here new important evidence through the analytic study of an exactly solvable model for which both topology and thermodynamics are worked out. The model is a mean-field…

Statistical Mechanics · Physics 2009-11-10 Luca Angelani , Lapo Casetti , Marco Pettini , Giancarlo Ruocco , Francesco Zamponi

Quantum phase transitions have been the subject of intense investigations in the last two decades [1]. Among other problems, these phase transitions are relevant in the study of heavy fermion systems, high temperature superconductors and…

Strongly Correlated Electrons · Physics 2015-06-25 M. A. Continentino , A. S. Ferreira

Spin-boson models are essentially useful in the understanding of quantum optics, nuclear physics, quantum dissipation, and quantum computation. We discuss quantum phase transitions in various spin-boson Hamiltonians, compare, and contrast…

Other Condensed Matter · Physics 2010-05-18 Karyn Le Hur

Although the topological order is known as a quantum order in quantum many-body systems, it seems that there is not a one-to-one correspondence between topological phases and quantum phases. As a well-known example, it has been shown that…

Quantum Physics · Physics 2016-04-13 Mohammad Hossein Zarei

We study the quantum phase transition mechanisms that arise in the Interacting Boson Model. We show that the second-order nature of the phase transition from U(5) to O(6) may be attributed to quantum integrability, whereas all the…

Nuclear Theory · Physics 2009-11-10 J. M. Arias , J. Dukelsky , J. E. Garcia-Ramos

We investigate the low-energy properties of a generalized quantum sine-Gordon model in one dimension with a self-dual symmetry. This model describes a class of quantum phase transitions that stems from the competition of different orders.…

Statistical Mechanics · Physics 2011-02-16 P. Lecheminant , K. Totsuka

We study the stability of topological order against local perturbations by considering the effect of a magnetic field on a spin model -- the toric code -- which is in a topological phase. The model can be mapped onto a quantum loop gas…

Statistical Mechanics · Physics 2008-12-02 Simon Trebst , Philipp Werner , Matthias Troyer , Kirill Shtengel , Chetan Nayak

We study holographic superconductor model with two scalar fields coupled to one single Maxwell field in the AdS soliton background away from the probe limit. We disclose properties of phase transitions mostly from the holographic…

High Energy Physics - Theory · Physics 2017-03-14 Yan Peng , Guohua Liu

We analyze the toric code model in the presence of quenched disorder, which is introduced via different types of random magnetic fields. In general, close to a quantum phase transition between a spin polarized phase and a topologically…

Quantum Physics · Physics 2011-03-22 D. I. Tsomokos , T. J. Osborne , C. Castelnovo