Abstract
The thermodynamic behavior of the spin \(S=1/2\) antiferromagnetic two-leg ladder compound (C\(_5\)H\(_{12}\)N)\(_{2}\)CuBr\(_{4}\) in a uniform magnetic field is studied using numerical and analytical approaches. The entropy \(S(H,T)\) and specific heat \(C(H,T)\) are calculated. The specific heat shows various behaviors in different regions of the magnetic field. The field dependence of the specific heat is almost symmetric about the average of quantum critical fields in complete agreement with experimental results. In addition, it is found that during an adiabatic demagnetization process, temperature drops in the vicinity of the field induced zero-temperature quantum phase transitions.
Similar content being viewed by others
References
For a review see E. Dagotto, Rep. Prog. Phys. 62, 1525 (1999)
E. Dagotto, T.M. Rice, Science 271, 618 (1996)
T. Barnes, E. Dagotto, J. Riera, E.S. Swanson, Phys Rev. B 47, 3196 (1993)
M. Azuma, Z. Hiroi, M. Takano, K. Ishida, Y. Kitaoka, Phys. Rev. Lett. 73, 3463 (1994)
C.P. Landee, M.M. Turnbull, C. Galeriu, J. Giantsidis, F.M. Woodward, Phys. Rev. B 63, 100402 (2001)
G. Chaboussant, M.-H. Julien, Y. Fagot-Revurat, L.P. Levy, C. Berthier, M. Horvatic, O. Piovesana, Phys. Rev. Lett. 79, 925 (1997)
G. Chaboussant, Y. Fagot-Revurat, M.-H. Julien, M.E. Hanson, C. Berthier, M. Morvatic, L.P. Levy, O. Piovesana, Phys. Rev. Lett. 80, 2713 (1998)
G. Chaboussant, P.A. Crowell, L.P. Levy, O. Piovesana, A. Madouri, D. Dailly, Phys. Rev. B 55, 3046 (1997)
A.T. Savici, G.E. Granroth, C.L. Broholm, D.M. Pajerowski, C.M. Brown, D.R. Talham, M.W. Meise, K.P. Schmidt, G.S. Uhrig, S.E. Nagle, Phys. Rev. B 80, 094411 (2009)
B.R. Patyal, B.L. Scott, R.D. Willett, Phys. Rev. B 41, 1657 (1990)
B.C. Watson, V.N. Kotov, M.W. Meisel, D.W. Hall, G.E. Granroth, W.T. Montfrooij, S.E. Nagler, D.A. Jensen, R. Backov, M.A. Petruska, G.E. Fanucci, D.R. Talham, Phys. Rev. Lett. 86, 5168 (2001)
T. Lorentz, O. Heyer, M. Garst, F. Anfuso, A. Rosch, C. Ruegg, K. Kramer, Phys. Rev. Lett. 100, 067208 (2008)
M. klanjsek, H. Mayaffre, C. Berthier, M. Horvatic, A. Rosch, B. Chiari, O. Piovesana, P. Bouillot, C. Kollath, E. Orignac, R. Citro, T. Giamarchi, Phys. Rev. Lett. 101, 137207 (2008)
F. Anfuso, M. Garst, A. Rosch, O. Heyer, T. Lorentz, C. Ruegg, K. Kramer, Phys Rev. B 77, 235113 (2008)
Ch. Ruegg, K. Kiefer, B. Thielemann, D.F. McMorrow, V. Zapf, B. Normand, M.B. Zvonarev, P. Bouillot, C. Kollath, T. Giamarchi, S. Capponi, D. Poilblanc, D. Biner, K.W. Kramer, Phys. Rev. Lett. 101, 247202 (2008)
B. Thielemann et al., Phys. Rev. B 79, 020408(R) (2009)
B. Thielemann et al., Phys. Rev. Lett. 102, 107204 (2009)
A.V. Sologubenko, T. Lorenz, J.A. Mydosh, B. Thielemann, H.M. Ronnow, Ch. Ruegg, K. Kramer, Phys. Rev. B 80, 220411(R) (2009)
E. Cizmar, M. Ozerov, J. Wosnitza, B. Thielmann, K.W. Kramer, Ch. Ruegg, O. Piovesana, M. Klanjsek, M. Horvatic, C. Berthier, S.A. Zvyangin, Phys. Rev. B 82, 054431 (2010)
X. Wang, l Yu, Phys. Rev. Lett. 84, 5399 (2000)
S. Ward, P. Bouillot, H. Ryll, K. Kiefer, K.W. Kra”mer, Ch. Regg, C. Kollath, T. Giamarchi, Phys. Condens. Matter 25, 014004 (2013)
P. Bouillot, C. Kollath, A.M. Lauchli, M. Zvonarev, B. Thielemann, Ch. Ruegg, E. Orignac, R. Citro, M. Klanjsek, C. Berthier, C.M. Horvatic, T. Giamarchi, Phys. Rev. B 83, 054407 (2011)
M.T. Batchelor, X.W. Guan, N. Oelkers, K. Sakai, Z. Tsuboi, A. Foerster, Phys. Rev. Lett. 91, 217202 (2003)
M.T. Batchelor, X. Guan, N. Oelkers, Z. Tsuboi, Adv. Phys. 56 (2007)
M. Troyer, H. Tsunetsugu, D. Wrtz, Phys. Rev. B 50, 13515 (1994)
M. Hagiwara, H.A. Katori, U. Schollwo”ck, H.-J. Mikeska, Phys. Rev. B 62, 1051 (2000)
R. Calemczuk, J. Riera, D. Poilblanc, J.P. Boucher, G. Chaboussant, L. Levy, O. Piovesana, Eur. Phys. J. B 7, 171 (1999)
S.R. White, R.M. Noack, D.J. Scalapino, Phys. Rev. Lett. 73, 886 (1994)
F. Mila, Eur. Phys. J. B 6, 201 (1998)
K. Totsuka, Phys. Rev. B 57, 3454 (1998)
G. Chaboussant et al., Eur. Phys. J. B 6, 167 (1998)
D.V. Dmitriev, V. Ya, Krivnov, A.A. Ovchinnikov, Phys. Rev. B 65, 172409 (2002)
S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999)
S. Sachdev, Phys. Rev. B 55, 142 (1997)
M.E. Zhitomirsky, H. Tsunetsugu, Phys. Rev. B. 70, 100403 (2004)
J. Hasanzadeh, Z. Feiznejad, S. Mahdavifar, J. Supercond. Nov. Magn. (2013). doi:10.1007/s10948-013-2319-9
K. Totsuka, Phys. Rev. B 57, 3454 (1998)
E. Warburg, Ann. Phys. Chem. 13, 141 (1881)
L. Zhu, M. Garst, A. Rosch, Q. Si, Phys. Rev. Lett. 91, 066404 (2003)
M. Garst, A. Rosch, Phys. Rev. B. 72, 205129 (2005)
A. Honecker, S. Wessel, Condens. Matter Phys. 12, 399 (2009)
M.E. Zhitomirsky, A. Honecker, J. Stat. Mech. P07012 (2004)
A. Honecker, S. Wessel, Physica B 378, 1098 (2006)
B. Schmidt, P. Thalmeier, N. Shannon, Phys. Rev. B. 76, 125113 (2007)
M.S.S. Pereira, F.A.B.F. de Moura, M.L. Lyra, Phys. Rev. B 79, 054427 (2009)
K.A. Gschneider Jr, V.K. Pecharsky, A.O. Tsokol, Rep. Prog. Phys. 68, 1479 (2005)
A.M. Tishin, Y.I. Spichkin, The Magnetocaloric Effect and its Applications (Institute of Physics Publishing, Bristol, 2003)
Acknowledgments
It is our pleasure to thank T. Vekua and J. Vahedi for very useful comments and interesting discussions.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Amiri, F., Mahdavifar, S., Hadipour, H. et al. Thermodynamics of the Spin-1/2 Two-Leg Ladder Compound (C\(_5\)H\(_{12}\)N)\(_2\)CuBr\(_4\) . J Low Temp Phys 177, 203–216 (2014). https://doi.org/10.1007/s10909-014-1212-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10909-014-1212-7