Physica B Condensed Matter

Spin transport of the frustrated integer spin S antiferromagnetic Heisenberg chain

L.S. Lima

Published Dec 23, 2013• 6 citations

Publisher

DOI: 10.1016/j.physb.2013.12.026

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Physica B Condensed Matter

Spin transport of the frustrated integer spin S antiferromagnetic Heisenberg chain

L.S. Lima

Published Dec 23, 2013• 6 citations

Publisher

DOI: 10.1016/j.physb.2013.12.026

Related papers

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Frustrated antiferromagnetic quantum spin chains for spin length S>1

Roland Roth, Ulrich Schollwöck

We investigate frustrated antiferromagnetic Heisenberg quantum spin chains at $T=0$ for $S=\frac{3}{2}$ and $S=2$ using the DMRG method. We localize disorder and Lifshitz points, confirming that quantum disorder points can be seen as quantum remnants of classical phase transitions. Both in the $S=\frac{3}{2}$ and the $S=2$ chain, we observe the disappearance of effectively free $S=\frac{1}{2}$ and $S=1$ end spins, respectively. The frustrated spin chain is therefore a suitable system for clearly showing the existence of free end spins ${S}^{\ensuremath{'}}=[S/2]$ also in half-integer antiferromagnetic spin chains with $S>\frac{1}{2}.$ We suggest that the first-order transition found for $S=1$ in our previous work [A. K. Kolezhuk, R. Roth, and U. Schollw\"ock, Phys. Rev. Lett. 77, 5142 (1996); Phys. Rev. B 55, 8928 (1997)] is present in all frustrated spin chains with $S>\frac{1}{2},$ characterized by the disappearance of effectively free end spins with ${S}^{\ensuremath{'}}=[S/2].$We investigate frustrated antiferromagnetic Heisenberg quantum spin chains at $T=0$ for $S=\frac{3}{2}$ and $S=2$ using the DMRG method. We localize disorder and Lifshitz points, confirming that quantum disorder points can be seen as quantum remnants of classical phase transitions. Both in the $S=\frac{3}{2}$ and the $S=2$ chain, we observe the disappearance of effectively free $S=\frac{1}{2}$ and $S=1$ end spins, respectively. The frustrated spin chain is therefore a suitable system for clearly showing the existence of free end spins ${S}^{\ensuremath{'}}=[S/2]$ also in half-integer antiferromagnetic spin chains with $S>\frac{1}{2}.$ We suggest that the first-order transition found for $S=1$ in our previous work [A. K. Kolezhuk, R. Roth, and U. Schollw\"ock, Phys. Rev. Lett. 77, 5142 (1996); Phys. Rev. B 55, 8928 (1997)] is present in all frustrated spin chains with $S>\frac{1}{2},$ characterized by the disappearance of effectively free end spins with ${S}^{\ensuremath{'}}=[S/2].$

arXiv:cond-mat/9805020Physical review. B, Condensed matterOct 1, 199833 citations

Phase diagram of a frustrated mixed-spin ladder with diagonal exchange bonds

Nedko B. Ivanov, Johannes Richter

Using exact numerical diagonalization and the conformal field theory approach, we study the effect of magnetic frustrations due to diagonal exchange bonds in a system of two coupled mixed-spin $(1,\frac{1}{2})$ Heisenberg chains. It is established that relatively moderate frustrations are able to destroy the ferrimagnetic state and to stabilize the critical spin-liquid phase typical for half-integer-spin antiferromagnetic Heisenberg chains. Both phases are separated by a narrow but finite region occupied by a critical partially polarized ferromagnetic phase.Using exact numerical diagonalization and the conformal field theory approach, we study the effect of magnetic frustrations due to diagonal exchange bonds in a system of two coupled mixed-spin $(1,\frac{1}{2})$ Heisenberg chains. It is established that relatively moderate frustrations are able to destroy the ferrimagnetic state and to stabilize the critical spin-liquid phase typical for half-integer-spin antiferromagnetic Heisenberg chains. Both phases are separated by a narrow but finite region occupied by a critical partially polarized ferromagnetic phase.

arXiv:cond-mat/0404703Physical Review BJun 23, 200432 citations

We investigate frustrated antiferromagnetic Heisenberg quantum spin chains at

T=0

for

S=\frac{3}{2}

and

S=2

using the DMRG method. We localize disorder and Lifshitz points, confirming that quantum disorder points can be seen as quantum remnants of classical phase transitions. Both in the

S=\frac{3}{2}

and the

S=2

chain, we observe the disappearance of effectively free

S=\frac{1}{2}

and

S=1

end spins, respectively. The frustrated spin chain is therefore a suitable system for clearly showing the existence of free end spins ${S}^{\ensuremath{'}}=[S/2]$ also in half-integer antiferromagnetic spin chains with

S>\frac{1}{2}.

We suggest that the first-order transition found for

S=1

in our previous work [A. K. Kolezhuk, R. Roth, and U. Schollw\"ock, Phys. Rev. Lett. 77, 5142 (1996); Phys. Rev. B 55, 8928 (1997)] is present in all frustrated spin chains with

S>\frac{1}{2},

characterized by the disappearance of effectively free end spins with ${S}^{\ensuremath{'}}=[S/2].$

Using exact numerical diagonalization and the conformal field theory approach, we study the effect of magnetic frustrations due to diagonal exchange bonds in a system of two coupled mixed-spin

(1,\frac{1}{2})

Heisenberg chains. It is established that relatively moderate frustrations are able to destroy the ferrimagnetic state and to stabilize the critical spin-liquid phase typical for half-integer-spin antiferromagnetic Heisenberg chains. Both phases are separated by a narrow but finite region occupied by a critical partially polarized ferromagnetic phase.