Isotropie transverse XY chain with energy and magnetization currents

T. Antal, Z. Rácz, A. Rákos, G. M. Schütz

Research output: Contribution to journalArticle

50 Citations (Scopus)

Abstract

The ground-state correlations are investigated for an isotropic transverse XY chain that is constrained to carry either a current of magnetization (JM) or a current of energy (JE). We find that the effect of JM#0 on the large-distance decay of correlations is twofold: (i) Oscillations are introduced and (ii) the amplitude of the power-law decay increases with increasing current. The effect of energy current is more complex. Genetically, correlations in current carrying states are found to decay faster than in the JE=0 states, contrary to expectations that correlations are increased by the presence of currents. However, increasing the current, one reaches a special line where the correlations become comparable to those of the JE=0 states. On this line, the symmetry of the ground state is enhanced and the transverse magnetization vanishes. A further increase of the current destroys the extra symmetry, but the transverse magnetization remains at the high-symmetry zero value.

Original languageEnglish
Pages (from-to)5184-5189
Number of pages6
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume57
Issue number5 SUPPL. A
Publication statusPublished - 1998

Fingerprint

Magnetization
Transverse
magnetization
Energy
Symmetry
Ground State
energy
Decay
Decay of Correlations
Line
symmetry
decay
Vanish
Power Law
ground state
Oscillation
Zero
oscillations

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Isotropie transverse XY chain with energy and magnetization currents. / Antal, T.; Rácz, Z.; Rákos, A.; Schütz, G. M.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 57, No. 5 SUPPL. A, 1998, p. 5184-5189.

Research output: Contribution to journalArticle

@article{ecc9253972604d57a4587ad00ee89fcd,
title = "Isotropie transverse XY chain with energy and magnetization currents",
abstract = "The ground-state correlations are investigated for an isotropic transverse XY chain that is constrained to carry either a current of magnetization (JM) or a current of energy (JE). We find that the effect of JM#0 on the large-distance decay of correlations is twofold: (i) Oscillations are introduced and (ii) the amplitude of the power-law decay increases with increasing current. The effect of energy current is more complex. Genetically, correlations in current carrying states are found to decay faster than in the JE=0 states, contrary to expectations that correlations are increased by the presence of currents. However, increasing the current, one reaches a special line where the correlations become comparable to those of the JE=0 states. On this line, the symmetry of the ground state is enhanced and the transverse magnetization vanishes. A further increase of the current destroys the extra symmetry, but the transverse magnetization remains at the high-symmetry zero value.",
author = "T. Antal and Z. R{\'a}cz and A. R{\'a}kos and Sch{\"u}tz, {G. M.}",
year = "1998",
language = "English",
volume = "57",
pages = "5184--5189",
journal = "Physical review. E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "5 SUPPL. A",

}

TY - JOUR

T1 - Isotropie transverse XY chain with energy and magnetization currents

AU - Antal, T.

AU - Rácz, Z.

AU - Rákos, A.

AU - Schütz, G. M.

PY - 1998

Y1 - 1998

N2 - The ground-state correlations are investigated for an isotropic transverse XY chain that is constrained to carry either a current of magnetization (JM) or a current of energy (JE). We find that the effect of JM#0 on the large-distance decay of correlations is twofold: (i) Oscillations are introduced and (ii) the amplitude of the power-law decay increases with increasing current. The effect of energy current is more complex. Genetically, correlations in current carrying states are found to decay faster than in the JE=0 states, contrary to expectations that correlations are increased by the presence of currents. However, increasing the current, one reaches a special line where the correlations become comparable to those of the JE=0 states. On this line, the symmetry of the ground state is enhanced and the transverse magnetization vanishes. A further increase of the current destroys the extra symmetry, but the transverse magnetization remains at the high-symmetry zero value.

AB - The ground-state correlations are investigated for an isotropic transverse XY chain that is constrained to carry either a current of magnetization (JM) or a current of energy (JE). We find that the effect of JM#0 on the large-distance decay of correlations is twofold: (i) Oscillations are introduced and (ii) the amplitude of the power-law decay increases with increasing current. The effect of energy current is more complex. Genetically, correlations in current carrying states are found to decay faster than in the JE=0 states, contrary to expectations that correlations are increased by the presence of currents. However, increasing the current, one reaches a special line where the correlations become comparable to those of the JE=0 states. On this line, the symmetry of the ground state is enhanced and the transverse magnetization vanishes. A further increase of the current destroys the extra symmetry, but the transverse magnetization remains at the high-symmetry zero value.

UR - http://www.scopus.com/inward/record.url?scp=0001258466&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001258466&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001258466

VL - 57

SP - 5184

EP - 5189

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 5 SUPPL. A

ER -