Topological transition between competing orders in quantum spin chains

Abstract

We study quantum phase transitions between competing orders in one-dimensional spin systems. We focus on systems that can be mapped to a dual-field double sine-Gordon model as a bosonized effective field theory. This model contains two pinning potential terms of dual fields that stabilize competing orders and allows different types of quantum phase transition to happen between two ordered phases. At the transition point, elementary excitations change from the topological soliton of one of the dual fields to that of the other, thus it can be characterized as a topological transition. We compute the dynamical susceptibilities and the entanglement entropy, which gives us access to the central charge, of the system using a numerical technique of infinite time-evolving block decimation and characterize the universality class of the transition as well as the nature of the order in each phase. The possible realizations of such transitions in experimental systems both for condensed matter and cold atomic gases are also discussed.

8 pages, 7 figures

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• Many-Body Physics with Ultracold Gases
• Cold atoms in cavity-generated dynamical optical potentials
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Rise and fall of hidden string order of lattice bosons
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• Coefficients of bosonized dimer operators in spin-1/2 XXZ chains and their applications
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Cited by in corpus (14)

• High-harmonic generation in one-dimensional Mott insulator
• Quantum criticality of the Ising-like screw chain antiferromagnet SrCo2V2O8 in a transverse magnetic field
• Topological charge pumping of bound bosonic pairs
• Tomonaga-Luttinger liquid spin dynamics in the quasi-one dimensional Ising-like antiferromagnet BaCo${}_2$V${}_2$O${}_8$
• Long-range spin chirality dimer order in the Heisenberg chain with modulated Dzyaloshinskii-Moriya interactions
• Experimental observation of repulsively bound magnons
• Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction
• Platforms for the realization and characterization of Tomonaga-Luttinger liquids
• Phase transitions and spin dynamics of the quasi-one dimensional Ising-like antiferromagnet BaCo${}_2$V${}_2$O${}_8$ in a longitudinal magnetic field
• Universality of Heisenberg-Ising chain in external fields
• Field-induced dimer orders in quantum spin chains
• Extracting Nonlinear Dynamical Response Functions from Time Evolution
• Repulsively bound magnon excitations of a spin-1/2 XXZ chain in a staggered transverse field
• Confinement of spinons in the XXZ spin-1/2 chain in presence of the transverse magnetic field