Abstract
We study the thermal transport through a quantum spin-1/2 chain heterostructure, which consists of a finite-size chain with two-site isotropic XY interaction and three-site XZX+YZY interaction coupled at its ends to two semi-infinite isotropic XY chains. After performing Jordan-Wigner transformation, we map the original spin Hamiltonian into a fermion Hamiltonian and express the heat current with a nonequilibrium Green’s function formalism. Then, the heat current as functions of the structure parameters are studied in detail. As a result, we observe that a finite magnetic field applied at the finite-size chain can efficiently induce the heat current asymmetry with ΔΩ (ΔΩ is the magnetic field difference between the finite-size chain and the semi-infinite chains). Accordingly, such a magnetic field can be viewed as a switch in manipulating the heat current.
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F. Giazotto, T.T. Heikkilä, A. Luukanen, A.M. Savin, J.P. Pekola, Rev. Mod. Phys. 78, 217 (2006)
M. Terraneo, M. Peyrard, G. Casati, Phys. Rev. Lett. 88, 094302 (2002)
B. Li, L. Wang, G. Casati, Phys. Rev. Lett. 93, 184301 (2004)
B. Li, J.-H. Lan, L. Wang, Phys. Rev. Lett. 95, 104302 (2005)
D. Segal, A. Nitzan, Phys. Rev. Lett. 94, 034301 (2005)
B. Hu, L. Yang, Y. Zhang, Phys. Rev. Lett. 97, 124302 (2006)
N. Yang, N. Li, L. Wang, B. Li, Phys. Rev. B 76, 020301(R) (2007)
G. Wu, B. Li, Phys. Rev. B. 76, 085424 (2007)
G. Wu, B. Li, J. Phys.: Condens. Matter 20, 175211 (2008)
C.W. Chang, D. Okawa, A. Majumdar, A. Zettl, Science 314, 1121 (2006)
R. Scheibner, M. König, D. Reuter, A.D. Wieck, C. Gould, H. Buhmann, L.W. Molenkamp, New J. Phys. 10, 083016 (2008)
B.W. Li, L. Wang, G. Casati, Appl. Phys. Lett. 88, 143501 (2006)
W.C. Lo, L. Wang, B. Li, J. Phys. Soc. Jpn 77, 054402 (2008)
L. Wang, B. Li, Phys. Rev. Lett. 99, 177208 (2007)
L. Wang, B. Li, Phys. World 21, 27 (2008)
L. Wang, B. Li, Phys. Rev. Lett. 101, 267203 (2008)
D. Segal, A. Nitzan, Phys. Rev. E 73, 026109 (2006)
R. Marathe, A. Jayannavar, A. Dhar, Phys. Rev. E 75, 030103(R) (2007)
A.C. Seridonio, M. Yoshida, L.N. Oliveira, Phys. Rev. B 80, 235318 (2009)
V. Vargiamidis, V. Fessatidis, Phys. Rev. B 79, 205309 (2009)
I.A. Shelykh, N.G. Galkin, N.T. Bagraev, Phys. Rev. B 74, 165331 (2006)
M. Lee, C. Bruder, Phys. Rev. B 73, 085315 (2006)
D. Sánchez, L. Serra, M.-S. Choi, Phys. Rev. B 77, 035315 (2008)
F. Romeo, R. Citro, M. Marinaro, Phys. Rev. B 78, 245309 (2008)
P. Yang, Q.-F. Sun, H. Guo, B. Hu, Phys. Rev. B 75, 235319 (2007)
A.V. Sologubenko, E. Felder, K. Giannò, H.R. Ott, A. Vietkine, A. Revcolevschi, Phys. Rev. B 62, R6108 (2000)
A.V. Sologubenko, K. Giannò, H.R. Ott, A. Vietkine, A. Revcolevschi, Phys. Rev. B 64, 054412 (2001)
Y. Ando, J. Takeya, D.L. Sisson, S.G. Döettinger, I. Tanaka, R.S. Feigelson, A. Kapitulnik, Phys. Rev. B 58, R2913 (1998)
C. Hess, C. Baumann, U. Ammerahl, B. Büchner, F. Heidrich-Meisner, W. Brenig, A. Revcolevschi, Phys. Rev. B 64, 184305 (2001)
K. Kordonis, A.V. Sologubenko, T. Lorenz, S.-W. Cheong, A. Freimuth, Phys. Rev. Lett. 97, 115901 (2006)
A.V. Sologubenko, K. Berggold, T. Lorenz, A. Rosch, E. Shimshoni, M.D. Phillips, M.M. Turnbull, Phys. Rev. Lett. 98, 107201 (2007)
A.V. Sologubenko, T. Lorenz, J.A. Mydosh, A. Rosch, K.C. Shortsleeves, M.M. Turnbull, Phys. Rev. Lett. 100, 137202 (2008)
C. Hess, Eur. Phys. J. Special Topics 151, 73 (2007)
H. Castella, X. Zotos, P. Prelovšek, Phys. Rev. Lett. 74, 972 (1995)
K. Saito, S. Takesue, S. Miyashita, Phys. Rev. E 54, 2404 (1996)
X. Zotos, F. Naef, P. Prelovšek, Phys. Rev. B 55, 11029 (1997)
F. Naef, X. Zotos, J. Phys.: Condens. Matter 10, L183 (1998)
L. Zhang, J.-S. Wang, B. Li, Phys. Rev. B 78, 144416 (2008)
L. Arrachea, G.S. Lozano, A.A. Aligia, Phys. Rev. B 80, 014425 (2009)
H.P. Büchler, A. Micheli, P. Zoller, Nature Physics 3, 726 (2007)
K.P. Schmidt, J. Dorier, A.M. Läuchli, Phys. Rev. Lett. 101, 150405 (2008)
J.K. Pachos, M.B. Plenio, Phys. Rev. Lett. 93, 056402 (2004)
C. D’ruz1, J.K. Pachos, Phys. Rev. A 72, 043608 (2005)
A. Bermudez, D. Porras, M.A. Martin-Delgado, Phys. Rev. A 79, 060303(R) (2009)
X.H. Peng, J.F. Zhang, J.F. Du, D. Suter, Phys. Rev. Lett. 103, 140501 (2009)
C.H. Tseng, S. Somaroo, Y. Sharf, E. Knill, R. Laflamme, T.F. Havel, D.G. Cory, Phys. Rev. A 61, 012302 (1999)
J. Jedrak, J. Spałek, Phys. Rev. B 83, 104512 (2011)
X. Hao, S.Q. Zhu, Commun. Theor. Phys. 53, 1083 (2010)
I. Titvinidze, G.I. Japaridze, Eur. Phys. J. B 32, 383 (2003)
Y. Muraoka, Phys. Rev. B 64, 134416 (2001)
T. Krokhmalskii, O. Derzhko, J. Stolze, T. Verkholyak, Phys. Rev. B 77, 174404 (2008)
O. Derzhko, T. Krokhmalskii, J. Stolze, T. Verkholyak, Phys. Rev. B 79, 094410 (2009)
G.D. Mahan, Many particle Physics (Plenum Press, New York, 1990)
J.-S. Wang, J. Wang, N. Zeng, Phys. Rev. B 74, 033408 (2006)
T.-S. Kim, S. Hershfield, Phys. Rev. Lett. 88, 136601 (2002)
N.W. Ashcroft, N.D. Mermin, Solid State Physics, (Saunders college, Philadelphia, 1976)
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Wu, H., Wang, Y., Gong, W.J. et al. Thermal transport through a one-dimensional quantum spin-1/2 chain heterostructure: The role of three-site spin interaction. Eur. Phys. J. B 86, 1 (2013). https://doi.org/10.1140/epjb/e2012-30793-6
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DOI: https://doi.org/10.1140/epjb/e2012-30793-6