Dynamical response functions in the quantum Ising chain with a boundary

Schuricht, Dirk; Eßler, Fabian H. L.

doi:10.1088/1742-5468/2007/11/p11004

Cited by 14 publications

(25 citation statements)

References 85 publications

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“…The spin-dependent phase factor is due to the rotation in Euclidean space; it was for example observed in the Green function of the Ising model with a boundary magnetic field 48 . As we have interchanged space and time and x is running from 0 to −∞ in the new framework, the τ -and x-dependence of operators O i (τ, x) is now given by…”

Section: Boundary State Formalism and Form-factor Expansionmentioning

confidence: 97%

“…(20) there are contributions to the LDOS beyond those that we have discussed above. They arise from our calculation of the spin-part of the Green function and are expected to be small 48 . In order to verify that they can indeed be neglected, we have analyzed them in some detail at the LEP K s = 1/ √ 2, where the necessary matrix elements take a particularly simple form, which makes the actual calculations much easier.…”

Section: Higher-order Correctionsmentioning

confidence: 99%

“…The analogous expansion for the quantum Ising model has been analyzed in Ref. [48]. We will first discuss the general formalism and then derive (20).…”

Section: Appendix C: Calculation Of the Green Function: Spin Sectormentioning

confidence: 99%

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Boundary effects on the local density of states of one-dimensional Mott insulators and charge density wave states

et al. 2011

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We determine the local density of states (LDOS) for spin-gapped one-dimensional charge density wave (CDW) states and Mott insulators in the presence of a hard-wall boundary. We calculate the boundary contribution to the single-particle Green function in the low-energy limit using field theory techniques and analyze it in terms of its Fourier transform in both time and space. The boundary LDOS in the CDW case exhibits a singularity at momentum 2kF, which is indicative of the pinning of the CDW order at the impurity. We further observe several dispersing features at frequencies above the spin gap, which provide a characteristic signature of spin-charge separation. This demonstrates that the boundary LDOS can be used to infer properties of the underlying bulk system. In presence of a boundary magnetic field mid-gap states localized at the boundary emerge. We investigate the signature of such bound states in the LDOS. We discuss implications of our results on STM experiments on quasi-1D systems such as two-leg ladder materials like Sr14Cu24O41. By exchanging the roles of charge and spin sectors, all our results directly carry over to the case of one-dimensional Mott insulators.

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Section: Boundary State Formalism and Form-factor Expansionmentioning

confidence: 97%

Section: Higher-order Correctionsmentioning

confidence: 99%

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Boundary effects on the local density of states of one-dimensional Mott insulators and charge density wave states

et al. 2011

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“…An analysis of the boundary S matrices implies [9][10][11][12]22] the existence of the BBS with the mass…”

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confidence: 99%

Boundary Resonances inS=1/2Antiferromagnetic Chains Under a Staggered Field

Furuya

Oshikawa

2012

Phys. Rev. Lett.

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We develop a boundary field theory approach to electron spin resonance in open S=1/2 Heisenberg antiferromagnetic chains with an effective staggered field. In terms of the sine Gordon effective field theory with boundaries, we point out the existence of boundary bound states of elementary excitations, and modification of the selection rules at the boundary. We argue that several "unknown modes" found in electron spin resonance experiments on KCuGaF(6) [I. Umegaki, H. Tanaka, T. Ono, H. Uekusa, and H. Nojiri, Phys. Rev. B 79, 184401 (2009)] and Cu-PM [S. A. Zvyagin, A. K. Kolezhuk, J. Krzystek, and R. Feyerherm, Phys. Rev. Lett. 93, 027201 (2004)] can be understood as boundary resonances introduced by these effects.

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“…Within the accessible sizes of chain ͑up to 200 lattice sites͒ we do not observe any decay of the oscillations. 31 Usually, results obtained for a finite system do not allow one to formulate conclusive statements on the long-range order. However, the nonequilibrium-induced enhancement of the long-range response is appealing.…”

Section: Numerical Resultsmentioning

confidence: 99%

Long-range magnetic response of theXYspin chain under far-from-equilibrium conditions

2010

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Within the formalism of the Keldysh Green's functions we investigate long-range response of an anisotropic XY chain to the local magnetic field. This field couples to a single spin on a selected lattice site. The system is driven out of equilibrium by a coupling to two semi-infinite XX spin chains. We demonstrate that the longrange response becomes enhanced by a few orders of magnitude upon application of nonequilibrium conditions. This enhancement does not occur in the isotropic XX chain. Our results agree with the recently predicted nonequilibrium-driven long-range magnetic correlations ͓T. Prosen and I. Pižorn, Phys. Rev. Lett. 101, 105701 ͑2008͔͒. We argue that this effect may be observed in quasi-one-dimensional triplet superconductors.

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Dynamical response functions in the quantum Ising chain with a boundary

Cited by 14 publications

References 85 publications

Boundary effects on the local density of states of one-dimensional Mott insulators and charge density wave states

Boundary effects on the local density of states of one-dimensional Mott insulators and charge density wave states

Boundary Resonances inS=1/2Antiferromagnetic Chains Under a Staggered Field

Long-range magnetic response of theXYspin chain under far-from-equilibrium conditions

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