Random Ising chain in transverse and longitudinal fields: Strong disorder RG study

T. Peto; F. Iglói; I. A. Kovács

doi:10.5488/CMP.26.13102

Random Ising chain in transverse and longitudinal fields: Strong disorder RG study

T. Peto, F. Iglói, I. A. Kovács^*

^*Corresponding author for this work

Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Motivated by the compound LiHo_xY_1-xF₄, we consider the Ising chain with random couplings and in the presence of simultaneous random transverse and longitudinal fields, and study its low-energy properties at zero temperature by the strong disorder renormalization group approach. In the absence of longitudinal fields, the system exhibits a quantum-ordered and a quantum-disordered phase separated by a critical point of infinite disorder. When the longitudinal random field is switched on, the ordered phase vanishes and the trajectories of the renormalization group are attracted to two disordered fixed points: one is characteristic of the classical random field Ising chain, the other describes the quantum disordered phase.

Original language	English (US)
Article number	13102
Journal	Condensed Matter Physics
Volume	26
Issue number	1
DOIs	https://doi.org/10.5488/CMP.26.13102
State	Published - 2023

Funding

This work was supported by the National Research Fund under Grants No. K128989 and No. KKP-126749, and by the National Research, Development and Innovation Office of Hungary (NKFIH) within the Quantum Information National Laboratory of Hungary.

Keywords

disordered systems
magnetic systems
phase transitions
quantum spin models
spin glasses

ASJC Scopus subject areas

Condensed Matter Physics
Physics and Astronomy (miscellaneous)

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10.5488/CMP.26.13102

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abstract = "Motivated by the compound LiHoxY1-xF4, we consider the Ising chain with random couplings and in the presence of simultaneous random transverse and longitudinal fields, and study its low-energy properties at zero temperature by the strong disorder renormalization group approach. In the absence of longitudinal fields, the system exhibits a quantum-ordered and a quantum-disordered phase separated by a critical point of infinite disorder. When the longitudinal random field is switched on, the ordered phase vanishes and the trajectories of the renormalization group are attracted to two disordered fixed points: one is characteristic of the classical random field Ising chain, the other describes the quantum disordered phase.",

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AU - Iglói, F.

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N2 - Motivated by the compound LiHoxY1-xF4, we consider the Ising chain with random couplings and in the presence of simultaneous random transverse and longitudinal fields, and study its low-energy properties at zero temperature by the strong disorder renormalization group approach. In the absence of longitudinal fields, the system exhibits a quantum-ordered and a quantum-disordered phase separated by a critical point of infinite disorder. When the longitudinal random field is switched on, the ordered phase vanishes and the trajectories of the renormalization group are attracted to two disordered fixed points: one is characteristic of the classical random field Ising chain, the other describes the quantum disordered phase.

AB - Motivated by the compound LiHoxY1-xF4, we consider the Ising chain with random couplings and in the presence of simultaneous random transverse and longitudinal fields, and study its low-energy properties at zero temperature by the strong disorder renormalization group approach. In the absence of longitudinal fields, the system exhibits a quantum-ordered and a quantum-disordered phase separated by a critical point of infinite disorder. When the longitudinal random field is switched on, the ordered phase vanishes and the trajectories of the renormalization group are attracted to two disordered fixed points: one is characteristic of the classical random field Ising chain, the other describes the quantum disordered phase.

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Random Ising chain in transverse and longitudinal fields: Strong disorder RG study

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