Theoretical investigation of the behavior of CuSe 2 O 5 compound in high magnetic fields

Saghafi, Z.; Jahangiri, J.; Mahdavifar, S.; Hadipour, H.; Shayesteh, S. Farjami

doi:10.1016/j.jmmm.2015.09.045

Cited by 6 publications

(2 citation statements)

References 39 publications

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“…In addition, the energy spectrum is gapless. Based on the recent studies, it is suggested that the Wilson ratio, R W = 4 3 ( πkB gµB ) 2 χ CV /T , is a crucial parameter for characterizing the LL region [5][6][7][8][9][10][11] . In this relation, χ is the magnetic susceptibility and C V is the specific heat.…”

Section: Introductionmentioning

confidence: 99%

String orders in the Luttinger liquid phase of one-dimensional spin-1/2 systems

Cheraghi

Tafreshi

Mahdavifar

2019

Physica A: Statistical Mechanics and its Applications

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Luttinger liquid (LL) phase refers to a quantum phase which emerges in the ground state phase diagram of quite often low-dimensional quantum magnets as spin-1/2 XX, XYY and frustrated chains. It is believed that the quasi long-range order exists between particles forming the system in the LL phase. Here, at the first step we concentrate on the study of correlated spin particles in the one-dimensional (1D) spin-1/2 XX model which is exactly solvable. We show that the spin-1/2 particles form string orders with an even number of spins in the LL phase of the 1D spin-1/2 XX model. As soon as the transverse magnetic field is applied to the system, string orders with an odd number of spins induce in the LL phase. All ordered strings of spin-1/2 particles will be destroyed at the quantum critical transverse field, hc. No strings exist in the saturated ferromagnetic phase. At the second step we focus on the LL phase in the ground state phase diagram of the 1D spin-1/2 XYY and frustrated ferromagnetic models. We show that the even-string orders exist in the LL phase of the 1D spin-1/2 XYY model but in the LL phase of the 1D spin-1/2 frustrated ferromagnetic model we found all kind of strings. In addition, the existence of a clear relation between the long-distance entanglement and string orders in the LL phase is shown. Also, the effect of the thermal fluctuations on the behavior of the string orders is studied.

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Section: Introductionmentioning

confidence: 99%

String orders in the Luttinger liquid phase of one-dimensional spin-1/2 systems

Cheraghi

Tafreshi

Mahdavifar

2019

Physica A: Statistical Mechanics and its Applications

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“…De acordo com essa proposta, no modelo clássico de Heisenberg, além das interações escalares típicas do ferrromagnetismo, em determinadas circunstâncias devem ser adicionadas "interações quirais" [8], provenientes de um produto vetorial entre duas variáveis de spin em sítios vizinhos, cujo resulado é projetado ao longo de um eixo. Nesse trabalho vamos nos concentrar em modelos simplificados com a adição dessas interações do tipo Dzyaloshinskii-Moriya (DM), que são bem menos estudados na literatura, embora tenham interesse crescente em magnetismo, e certamente possam ser generalizados para dar conta do comportamento de sistemas bem mais gerais da física dos materiais [9] [10] [11] . Embora o modelo ANNNI tenha sido muito explorado, ainda há espaço para analisar os modelos do tipo Dzyaloshinskii-Moriya (DM), que constituem o tema dessa dissertação.…”

Section: Introductionunclassified

Fases moduladas em modelos estatísticos com interações quirais

Castilho¹

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We studied two classical Heisenberg spin models on a lattice, with a discrete choice of spin states, with ferromagnetic interactions in competition with Dzyaloshinskii-Moriya interactions.In the first part of this work, we consider a model of four states only, which we call DM4, and which corresponds to the chiral clock model, which has been widely explored in the literature.We analyzed this DM4 model in several situations: (i) in one dimension, using the transfer matrix technique, obtaining indications about the ground state of the more realistic counterpart in three dimensions: (ii) on a Cayley tree, which leads to a phase diagram with the indication of the existence of spacial modulated structures; (iii) in a mean-field approach, in which it is relatively simple to obtain the boundaries of the disordered structures. Using the experience we have gained with the DM4 model, we have gone through the same steps to analyze a six-state model, with spin states along the Cartesian directions, which we call DM6, and which is a minimal model for a Heisenberg Hamiltonian with the addition of Dzyaloshinskii-Moriya interactions along one of the crystalline axes. We obtained several results for the global phase diagram in the limit of infinite coordination of a Cayley tree, and presented numerical evidence to show the existence of fractal structures known as "devil's staircases". In the final part of this study on the DM6 model, we sketched a mean-field solution of this problem. Also, we sketched an ongoing work, which is based on defining and analyzing a spherical version of the Heisenberg model with the addition of monoaxial interactions of the Dzyaloshinskii-Moriya type.

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Quantum critical scaling for field-induced quantum phase transition in a periodic Anderson-like model polymer chain

Ding

Zhong

2017

Journal of Magnetism and Magnetic Materials

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Theoretical investigation of the behavior of CuSe 2 O 5 compound in high magnetic fields

Cited by 6 publications

References 39 publications

String orders in the Luttinger liquid phase of one-dimensional spin-1/2 systems

String orders in the Luttinger liquid phase of one-dimensional spin-1/2 systems

Fases moduladas em modelos estatísticos com interações quirais

Quantum critical scaling for field-induced quantum phase transition in a periodic Anderson-like model polymer chain

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