Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Bulletin of the American Physical Society

Pressure-induced quantum phase transitions in a frustrated spin liquid

A. Mannig, M. Thede, Dan H ̈uvonen, Martin M aansson, A. Zheludev, Rustem Khasanov, E. Morenzoni

Published Mar 7, 2014• 0 citations
OpenAlex

Related papers

Magnetic quantum phase transitions induced by magnetic field, pressure and impurities in gapped spin systems

真士 藤澤

•Jan 1, 2006•0 citations

Spin-Nematic and Spin-Liquid Phases in Low-Dimensional Antiferromagnets

Tôru Sakai

The spin nematic phase, which is a kind of multipole phases, has attracted a lot of interest in the field of the strongly correlated electron systems, as well as the quantum spin liquid phase. Using the numerical exact diagonalization, the density matrix renormalization group (DMRG) calculation, and the finite-size scaling analysis, it is found that some spin nematic and spin liquid phases appear in the anisotropic and/or frustrated quantum spin systems. In our previous work, quasi-one-dimensional quantum spin systems with the easy-axis anisotropy in magnetic field are theoretically investigated using the numerical exact diagonalization, the density matrix renormalization group (DMRG) and the finite-size scaling analysis[1]. It was found that a field-induced nematic phase appears at some critical field in the anisotropic spin ladder and the mixed spin chain. The nematic phase is characterized by the power-law decay in the correlation function of the second-order spin moment. In addition at some higher critical field a quantum phase transition can occur to the conventional field-induced Tomonaga-Luttinger liquid. Several typical magnetization curves calculated by DMRG are presented. We will also propose an experiment to observe these field-induced transitions by NMR measurements. The field-induced incommensurate order observed in azurite, which is modeled by the distorted diamond chain, by the recent NMR measurement will be also discussed. Recently the field-induced nematic phase was observed on the frustrated spin ladder system[2,3]. So we study on a frustrated spin ladder system[4], using the numerical diagonalization and DMRG. As a result, it is found that several exotic quantum phases, including the spin-nematic liquid phase. We also report some exact eigen states of the present model. [1] T. Sakai, T. Tonegawa and K. Okamoto, Physica Status Solidi B 247 (2010) 583.[2] N. Buttgen et al., Phys. Rev B 90, (2014) 134401.[3] K. Nawa et al., J. Phys. Soc. Jpn., 82 (2013) 094709.[4] T. Hikihara, T. Tonegawa, K. Okamoto and T. Sakai, J. Phys. Soc. Jpn. 86 (2017) 054709.

•Sep 28, 2017•0 citations

A quantum phase transition for a spin liquid

Anonymous

Physics•Feb 12, 2009•0 citations

Quantum phase transitions in frustrated magnetic systems

P. Wölfle, Peter Schmitteckert

The European Physical Journal Special Topics•Jul 1, 2015•3 citations

Possibility of a Two-Component Tomonaga-Luttinger Liquid in Frustrated Integer-Spin Tubes

Masahiro Sato

Abstract. Uniform-field effects for frustrated odd-leg integer-spin tubes (cylinder type spin systems) are investigated in the weak interchain-coupling regime. We predict that, as the field exceeds the spin gap, a two-component Tomonaga-Luttinger liquid (TLL) appears due to the condensation of the doubly degenerate lowest magnons. Furthermore, it is argued that when the uniform field is so strong that the second lowest magnons are also condensed, the two-component TLL is destroyed and a new one-component TLL emerges. This quantum phase transition may be detected as a magnetization cusp. Keywords: integer-spin tube, frustration, Tomonaga-Luttinger liquid, magnetization cusp, nonlinear sigma model, bosonization PACS: 75.10.Jm, 75.40.Cx, 75.50.Ee In one-dimensional (1D) gapped isotropic spin systems, a uniform magnetic field, which causes the rotation symmetry to reduce to a U(1) one, generally removes the gap and induces a magnon-condensed phase regarded as a Tomonaga-Luttinger liquid (TLL) [1] with central charge c = 1. Zamolodchikov’s c theorem [2] actually predicts that a c = 1 TLL state tends to occur in U(1) symmetric 1D systems. However, frustration often breaks such conventional scenarios. In this short paper, we focus on the field-induced critical phases in frustrated integer-spin tubes, and discuss the possibility of the existence of an unconventional two-component TLL (we call this c = 1 + 1 state in this paper) and a quantum phase transition. Here, the tube means a ladder with a periodic boundary condition along the interchain (rung) direction. For more details, refer to Ref. [3]. The N(finite)-leg spin tube Hamiltonian is given by

•Jan 1, 2006•0 citations

Phase transitions in frustrated quantum systems

Parangama Ray Chaudhuri

•Jan 1, 1992•0 citations
The spin nematic phase, which is a kind of multipole phases, has attracted a lot of interest in the field of the strongly correlated electron systems, as well as the quantum spin liquid phase. Using the numerical exact diagonalization, the density matrix renormalization group (DMRG) calculation, and the finite-size scaling analysis, it is found that some spin nematic and spin liquid phases appear in the anisotropic and/or frustrated quantum spin systems. In our previous work, quasi-one-dimensional quantum spin systems with the easy-axis anisotropy in magnetic field are theoretically investigated using the numerical exact diagonalization, the density matrix renormalization group (DMRG) and the finite-size scaling analysis[1]. It was found that a field-induced nematic phase appears at some critical field in the anisotropic spin ladder and the mixed spin chain. The nematic phase is characterized by the power-law decay in the correlation function of the second-order spin moment. In addition at some higher critical field a quantum phase transition can occur to the conventional field-induced Tomonaga-Luttinger liquid. Several typical magnetization curves calculated by DMRG are presented. We will also propose an experiment to observe these field-induced transitions by NMR measurements. The field-induced incommensurate order observed in azurite, which is modeled by the distorted diamond chain, by the recent NMR measurement will be also discussed. Recently the field-induced nematic phase was observed on the frustrated spin ladder system[2,3]. So we study on a frustrated spin ladder system[4], using the numerical diagonalization and DMRG. As a result, it is found that several exotic quantum phases, including the spin-nematic liquid phase. We also report some exact eigen states of the present model. [1] T. Sakai, T. Tonegawa and K. Okamoto, Physica Status Solidi B 247 (2010) 583.[2] N. Buttgen et al., Phys. Rev B 90, (2014) 134401.[3] K. Nawa et al., J. Phys. Soc. Jpn., 82 (2013) 094709.[4] T. Hikihara, T. Tonegawa, K. Okamoto and T. Sakai, J. Phys. Soc. Jpn. 86 (2017) 054709.
Abstract. Uniform-field effects for frustrated odd-leg integer-spin tubes (cylinder type spin systems) are investigated in the weak interchain-coupling regime. We predict that, as the field exceeds the spin gap, a two-component Tomonaga-Luttinger liquid (TLL) appears due to the condensation of the doubly degenerate lowest magnons. Furthermore, it is argued that when the uniform field is so strong that the second lowest magnons are also condensed, the two-component TLL is destroyed and a new one-component TLL emerges. This quantum phase transition may be detected as a magnetization cusp. Keywords: integer-spin tube, frustration, Tomonaga-Luttinger liquid, magnetization cusp, nonlinear sigma model, bosonization PACS: 75.10.Jm, 75.40.Cx, 75.50.Ee In one-dimensional (1D) gapped isotropic spin systems, a uniform magnetic field, which causes the rotation symmetry to reduce to a U(1) one, generally removes the gap and induces a magnon-condensed phase regarded as a Tomonaga-Luttinger liquid (TLL) [1] with central charge c = 1. Zamolodchikov’s c theorem [2] actually predicts that a c = 1 TLL state tends to occur in U(1) symmetric 1D systems. However, frustration often breaks such conventional scenarios. In this short paper, we focus on the field-induced critical phases in frustrated integer-spin tubes, and discuss the possibility of the existence of an unconventional two-component TLL (we call this c = 1 + 1 state in this paper) and a quantum phase transition. Here, the tube means a ladder with a periodic boundary condition along the interchain (rung) direction. For more details, refer to Ref. [3]. The N(finite)-leg spin tube Hamiltonian is given by