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

Soviet Journal of Low Temperature Physics

Static magnetic properties of a spin chain with an impurity

Vladimir Kleiner, V. M. Tsukernik

Published Mar 1, 1980• 4 citations
Publisher

Abstract

A one-dimensional spin system with XY-interaction which contains a substitutional impurity is examined for two orientations of the permanent magnetic field, along and perpendicular to the selected direction. Field and temperature dependences are found for the magnetic moment of the impurity and the host. It is shown that a change in the relationship between the system parameters substantially influences the nature of this dependence.

DOI
10.1063/10.0030023

Related papers

Impurity-spin relaxation in a one-dimensional X-Y model

О. Б. Заславский, V. M. Tsukernik

The time evolution of the impurity spin projection in an X-Y chain on the direction of the external magnetic field is considered for a stepwise change in the field acting on the impurity. The mode of relaxation is substantially dependent on the presence of discrete impurity levels in the system, and also on the closeness of these to the edge of the continuum. Low-temperature and high-temperature cases are considered.

Soviet Journal of Low Temperature Physics•Oct 1, 1980•0 citations

STATIC AND DYNAMICAL PROPERTIES OF A SINGLE IMPURITY IN A STRONGLY CORRELATED HOST

Ajay Nandgaonkar, P. Durganandini, Mihir Arjunwadkar +1 more

We study, using numerical exact diagonalisation, some static and dynamical properties of a single impurity substituted into a one-dimensional repulsive Hubbard chain. A systematic scan of the parameter-space reveals a rich magnetic phase diagram. Interactions on the lattice stabilize the local moment phase of the impurity. A scalar impurity is seen to induce local moments on the neighbouring sites near Half Filling. Static spin and charge correlation functions reflect a non-Fermi liquid character of the ground state in the presence of a scalar impurity.

International Journal of Modern Physics B•Mar 20, 1999•0 citations

Low-temperature properties of the XY spin chain with an impurity fragment

E. V. Ezerskaya, A. A. Chovpan

The exact energy spectrum in a longitudinal magnetic field is found for an infinite XY chain (s=1∕2) with an impurity fragment. It is shown that, in addition to a continuum band and a discrete set of levels, the existence of from one to four bound states, localized at the boundaries of the impurity fragment with the main chain, is possible. The critical behavior of the local static thermodynamic characteristics and time dependence of the longitudinal dynamic correlation functions for different temperatures are studied. It is shown that local thermodynamic characteristics of the model can be influenced significantly by both the discrete levels and the bound states.

Low Temperature Physics•Oct 1, 2006•1 citation

Impurity effect on the singularity of the local magnetization in the spin-1/2XYchain

Gennady Sh. Gildenblat

A Green's-function method is used to obtain the exact expression for the local susceptibility of the impure spin-1/2 XY chain at zero temperature. The presence of the impurity (or boundary) affects the singularity of the magnetic field dependence of the local susceptibility. The corresponding critical exponent changes from -1/2 to +1/2 at an arbitrary distance from the impurity site. In contrast with the transverse Ising model, the critical exponent is independent of the perturbation strength. This phenomenon is related to the spatial oscillations of the local density of states in the nonideal XY chain. It is also shown that experimental investigation of the field dependence of the finite-temperature macroscopic susceptibility of the one-dimensional XY-like system (such as ${\mathrm{Cs}}_{2}$${\mathrm{CoCl}}_{4}$) may reveal the formation of the localized states associated with impurities.

Physical review. B, Condensed matter•Sep 1, 1985•4 citations

Ising Chain with a Spin Impurity

Harold Falk

Consider a closed, linear chain of $N$ localized spins (each $s=\frac{1}{2}$) with nearest-neighbor Ising interaction. Such a chain, exposed to a uniform external magnetic field, will be called the pure host. Replace a single spin in the pure host by an impurity spin which is also subjected to nearest-neighbor Ising interaction and to the external field. The magnitude of the impurity spin, the magnitude of its magnetic moment, and the magnitude and sign of its interaction with the host are allowed to differ from the corresponding values characterizing the host. For the bulk system ($N\ensuremath{\rightarrow}\ensuremath{\infty}$, for constant linear density of spins), the thermodynamic properties, such as the impurity magnetization, the (position-dependent) magnetization of the impurity-host system and the impurity-host spin correlation functions, are obtained exactly in terms of conventional, tabulated functions. Numerical results are presented for impurity spins of magnitude $S=\frac{3}{2},\frac{5}{2}$.

Physical Review•Nov 4, 1966•9 citations

Static and dynamical properties of a magnetic impurity in a strongly correlated electronic system

K. Hallberg, C. A. Balseiro

Using numerical techniques we study the zero-temperature properties of a substitutional magnetic impurity in a one-dimensional correlated system described by the Hubbard model with repulsive interaction U. We find that, while the static spin correlation maintains a 2${\mathit{k}}_{\mathit{F}}$ periodicity, the charge correlations show Friedel oscillations with a 4${\mathit{k}}_{\mathit{F}}$ periodicity for large values of U. The static on-site susceptibility decreases as the interactions in the chain are turned on and we interpret this as an increase of the Kondo temperature. For large values of U the short-range antiferromagnetic correlations dominate over the collective Kondo singlet formation.

arXiv:cond-mat/9505131•Physical review. B, Condensed matter•Jul 1, 1995•10 citations
A one-dimensional spin system with XY-interaction which contains a substitutional impurity is examined for two orientations of the permanent magnetic field, along and perpendicular to the selected direction. Field and temperature dependences are found for the magnetic moment of the impurity and the host. It is shown that a change in the relationship between the system parameters substantially influences the nature of this dependence.
We study, using numerical exact diagonalisation, some static and dynamical properties of a single impurity substituted into a one-dimensional repulsive Hubbard chain. A systematic scan of the parameter-space reveals a rich magnetic phase diagram. Interactions on the lattice stabilize the local moment phase of the impurity. A scalar impurity is seen to induce local moments on the neighbouring sites near Half Filling. Static spin and charge correlation functions reflect a non-Fermi liquid character of the ground state in the presence of a scalar impurity.
The exact energy spectrum in a longitudinal magnetic field is found for an infinite XY chain (s=1∕2) with an impurity fragment. It is shown that, in addition to a continuum band and a discrete set of levels, the existence of from one to four bound states, localized at the boundaries of the impurity fragment with the main chain, is possible. The critical behavior of the local static thermodynamic characteristics and time dependence of the longitudinal dynamic correlation functions for different temperatures are studied. It is shown that local thermodynamic characteristics of the model can be influenced significantly by both the discrete levels and the bound states.
A Green's-function method is used to obtain the exact expression for the local susceptibility of the impure spin-1/2 XY chain at zero temperature. The presence of the impurity (or boundary) affects the singularity of the magnetic field dependence of the local susceptibility. The corresponding critical exponent changes from -1/2 to +1/2 at an arbitrary distance from the impurity site. In contrast with the transverse Ising model, the critical exponent is independent of the perturbation strength. This phenomenon is related to the spatial oscillations of the local density of states in the nonideal XY chain. It is also shown that experimental investigation of the field dependence of the finite-temperature macroscopic susceptibility of the one-dimensional XY-like system (such as Cs2{\mathrm{Cs}}_{2}Cs2​CoCl4{\mathrm{CoCl}}_{4}CoCl4​) may reveal the formation of the localized states associated with impurities.
Consider a closed, linear chain of NNN localized spins (each s=12s=\frac{1}{2}s=21​) with nearest-neighbor Ising interaction. Such a chain, exposed to a uniform external magnetic field, will be called the pure host. Replace a single spin in the pure host by an impurity spin which is also subjected to nearest-neighbor Ising interaction and to the external field. The magnitude of the impurity spin, the magnitude of its magnetic moment, and the magnitude and sign of its interaction with the host are allowed to differ from the corresponding values characterizing the host. For the bulk system ($N\ensuremath{\rightarrow}\ensuremath{\infty}$, for constant linear density of spins), the thermodynamic properties, such as the impurity magnetization, the (position-dependent) magnetization of the impurity-host system and the impurity-host spin correlation functions, are obtained exactly in terms of conventional, tabulated functions. Numerical results are presented for impurity spins of magnitude S=32,52S=\frac{3}{2},\frac{5}{2}S=23​,25​.
Using numerical techniques we study the zero-temperature properties of a substitutional magnetic impurity in a one-dimensional correlated system described by the Hubbard model with repulsive interaction U. We find that, while the static spin correlation maintains a 2kF{\mathit{k}}_{\mathit{F}}kF​ periodicity, the charge correlations show Friedel oscillations with a 4kF{\mathit{k}}_{\mathit{F}}kF​ periodicity for large values of U. The static on-site susceptibility decreases as the interactions in the chain are turned on and we interpret this as an increase of the Kondo temperature. For large values of U the short-range antiferromagnetic correlations dominate over the collective Kondo singlet formation.