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References
S.R. White, Physics Reports 301, 187 (1998)
U. Schollwöck, Rev. Mod. Phys. 77, 259 (2005)
H.G. Evertz, G. Lana, M. Marcu, Phys. Rev. Lett. 70, 875 (1993)
H.G. Evertz, Adv. Phys. 52, 1 (2003)
O. Syljuasen, A.W. Sandvik, Phys. Rev. E 66, 046701 (2002)
R. Blankenbecler, D.J. Scalapino, R.L. Sugar, Phys. Rev. D 24, 2278 (1981)
F. Michel, H.G. Evertz. URL http://arxiv.org/abs/0705.0799 and in preparation
A.N. Rubtsov, V.V. Savkin, A.I. Lichtenstein, Phys. Rev. B 72, 035122 (2005)
P. Werner, A. Comanac, L.D. Medici, M. Troyer, A. Millis, Phys. Rev. Lett. 97, 076405 (2006)
J.E. Hirsch, D.J. Scalapino, R.L. Sugar, R. Blankenbecler, Phys. Rev. B 26, 5033 (1981)
M. Barma, B.S. Shastry, Phys. Rev. B 18, 3351 (1978)
R.J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press Limited, London, 1989)
M. Troyer, M. Imada, K. Ueda, J. Phys. Soc. Jpn. 66, 2957 (1997)
O. Syljuasen, Phys. Rev. B 67, 046701 (2003)
A.W. Sandvik, O.F. Syljuasen, in THE MONTE CARLO METHOD IN THE PHYSICAL SCIENCES: Celebrating the 50th Anniversary of the Metropolis Algorithm, AIP Conference Proceedings, Vol. 690, ed. by J.E. Gubernatis (2003), pp. 299–308. http://arxiv.org/abs/cond-mat/0306542
M. Troyer, F. Alet, S. Trebst, S. Wessel, in THE MONTE CARLO METHOD IN THE PHYSICAL SCIENCES: Celebrating the 50th Anniversary of the Metropolis Algorithm, AIP Conference Proceedings, Vol. 690, ed. by J.E. Gubernatis (2003), pp. 156–169. http://arxiv.org/abs/physics/0306128
N. Kawashima, K. Harada, J. Phys. Soc. Jpn. 73, 1379 (2004)
J.F. Corney, P.D. Drummond, Phys. Rev. Lett. 93, 260401 (2004)
F.F. Assaad, P. Werner, P. Corboz, E. Gull, M. Troyer, Phys. Rev. B 72, 224518 (2005)
F.F. Assaad, D. Würtz, Phys. Rev. B 44, 2681 (1991)
M. Troyer, F.F. Assaad, D. Würtz, Helv. Phys. Acta. 64, 942 (1991)
M. Brunner, F.F. Assaad, A. Muramatsu, Eur. Phys. J. B 16, 209 (2000)
M. Brunner, F.F. Assaad, A. Muramatsu, Phys. Rev. B 62, 12395 (2000)
C. Brünger, F.F. Assaad, Phys. Rev. B 74, 205107 (2006)
N. Prokof’ev, B. Svistunov, Phys. Rev. Lett. 81, 2514 (1998)
S. Rombouts, K. Heide, N. Jachowicz, Phys. Rev. Lett. 82, 4155 (1999)
E. Burovski, A. Mishchenko, N. Prokof’ev, B. Svistunov, Phys. Rev. Lett. 87, 186402 (2001)
A. Rubtsov, M. Katsnelson, A. Lichtenstein, Dual fermion approach to nonlocal correlations in the Hubbard model. http://arxiv.org/abs/cond-mat/0612196. Preprint
M. Boninsegni, N. Prokof’ev, B. Svistunov, Phys. Rev. Lett. 96, 070601 (2006)
B. Beard, U. Wiese, Phys. Rev. Lett. 77, 5130 (1996)
A. Sandvik, J. Kurkijärvi, Phys. Rev. B 43, 5950 (1991)
A.W. Sandvik, J. Phys. A 25, 3667 (1992)
A.W. Sandvik, Phys. Rev. B 56, 11678 (1997)
N. Prokof’ev, B. Svistunov, I. Tupitsyn, Sov. Phys. JETP Letters 64, 911 (1996). http://arxiv.org/abs/cond-mat/9612091
N. Prokof’ev, B. Svistunov, I. Tupitsyn, Sov. Phys. JETP 87, 310 (1998). URL http://arxiv.org/abs/cond-mat/9703200
A. Sandvik, R. Singh, D. Campbell, Phys. Rev. B 56, 14510 (1997)
A. Sandvik, D. Campbell, Phys. Rev. Lett. 83, 195 (1999)
A. Dorneich, M. Troyer, Phys. Rev. E 64, 066701 (2001)
P. Kasteleyn, C. Fortuin, J. Phys. Soc. Jpn. Suppl. 26, 11 (1969)
C. Fortuin, P. Kasteleyn, Physica 57, 536 (1972)
R. Swendsen, J. Wang, Phys. Rev. Lett. 58, 86 (1987)
A.D. Sokal, in Quantum Fields on the Computer, ed. by M. Creutz (World Scientific, Singapore, 1992), pp. 211–274. Available electronically via www.dbwilson.com/exact
M. Aizenman, B. Nachtergaele, Comm. Math. Phys. 164, 17 (1994)
B. Nachtergaele, in Probability Theory and Mathematical Statistics (Proceedings of the 6th Vilnius Conference), ed. by B. Grigelionis, et al. (VSP/TEV, Utrecht Tokyo Vilnius, 1994), pp. 565–590. http://arxiv.org/abs/cond-mat/9312012
A.W. Sandvik, Phys. Rev. B 59, R14157 (1999)
P. Henelius, A. Sandvik, Phys. Rev. B 62, 1102 (2000)
A.W. Sandvik, Phys. Rev. Lett. 95, 207203 (2005)
H.G. Evertz, W. von der Linden, Phys. Rev. Lett. 86, 5164 (2001)
R. Citro, E. Orignac, T. Giamarchi, Phys. Rev. B 72, 024434 (2005)
K. Hukushima, K. Nemoto, J. Phys. Soc. Japan 65, 1604 (1996)
K. Hukushima, H. Takayama, K. Nemoto, Int. J. Mod. Phys. C 7, 337 (1996)
E. Marinari, G. Parisi, Europhys. Lett. 19, 451 (1992)
W. Barford, R. Bursill, Phys. Rev. Lett. 95, 137207 (2005)
J.E. Hirsch, R.M. Fye, Phys. Rev. Lett. 56, 2521 (1986)
S. Capponi, F.F. Assaad, Phys. Rev. B 63, 155114 (2001)
F.F. Assaad, Phys. Rev. B 71, 075103 (2005)
G. Sugiyama, S. Koonin, Ann. Phys. (N.Y.) 168, 1 (1986)
S. Sorella, S. Baroni, R. Car, M. Parrinello, Europhys. Lett. 8, 663 (1989)
S. Sorella, E. Tosatti, S. Baroni, R. Car, M. Parrinello, Int. J. Mod. Phys. B 1, 993 (1989)
J.E. Hirsch, Phys. Rev. B 31, 4403 (1985)
S.R. White, D.J. Scalapino, R.L. Sugar, E.Y. Loh, J.E. Gubernatis, R.T. Scalettar, Phys. Rev. B 40, 506 (1989)
A.M. Tsvelik, Quantum Field Theory in Condensed Matter Physics Cambridge University press, Cambridge, 1996)
F.F. Assaad, M. Imada, J. Phys. Soc. Jpn. 65, 189 (1996)
F.F. Assaad, Phys. Rev. Lett. 83, 796 (1999)
M. Jarrell, J. Gubernatis, Phys. Rep. 269, 133 (1996)
W. von der Linden, Appl. Phys. A 60, 155 (1995)
K.S.D. Beach, Identifying the maximum entropy method as a special limit of stochastic analytic continuation. http://arxiv.org/abs/cond-mat/0403055. Preprint
J.E. Hirsch, Phys. Rev. B 38, 12023 (1988)
C. Wu, S. Zhang, Phys. Rev. B 71, 155115 (2005)
A. Messiah, Quantum Mechanics. (Dover publications, INC., Mineola, New-York, 1999)
S. Capponi, F.F. Assaad, Phys. Rev. B 75, 045115 (2007)
M. Troyer, U. Wiese, Phys. Rev. Lett. 94, 170201 (2005)
J.F. Corney, P.D. Drummond, J. Phys. A: Math. Gen. 39, 269 (2006)
W.H. Press, S.A. Teukolsky, W.T. Vetterling, B.P. Flannery, Numerical Recipes in C (Cambridge University Press, Cambridge, 1992)
M. Feldbacher, F.F. Assaad, Phys. Rev. B 63, 073105 (2001)
M. Jarrell, Phys. Rev. Lett. 69, 168 (1992)
A. Georges, G. Kotliar, W. Krauth, M.J. Rozenberg, Rev. of. Mod. Phys. 68, 13 (1996)
A.C. Hewson, The Kondo Problem to Heavy Fermions. Cambridge Studies in Magnetism (Cambridge Universiy Press, Cambridge, 1997)
J. Yoo, S. Chandrasekharan, R.K. Kaul, D. Ullmo, H.U. Baranger, J. Phys. A: Math. Gen. 38, 10307 (2005)
F.F. Assaad, Phys. Rev. B 65, 115104 (2002)
M. Feldbacher, F.F. Assaad, K. Held, Phys. Rev. Lett. 93, 136405 (2004)
F. F. Assaad and T. Lang, Phys. Rev. B 76, 035116 (2007)
J.E. Hirsch, Fradkin, Phys. Rev. B 27, 4302 (1983)
M. Randeria, N. Trivedi, A. Moreo, R.T. Scalettar, Phys. Rev. Lett. 69, 2001 (1992)
N. Trivedi, M. Randeria, Phys. Rev. Lett. 75, 312 (1995)
M. Randeria, N. Trivedi, A. Moreo, R.T. Scalettar, Phys. Rev. D 54, R3756 (1996)
F.F. Assaad, V. Rousseau, F. Hébert, M. Feldbacher, G. Batrouni, Europhys. Lett. 63, 569 (2003)
C. Wu, J.P. Hu, S.C. Zhang, Phys. Rev. Lett. 91, 186402 (2003)
S. Capponi, C. Wu, S.C. Zhang, Phys. Rev. B 70, 220505 (2004)
J.E. Hirsch, S. Tang, Phys. Rev. Lett. 62, 591 (1989)
G. Dopf, A. Muramatsu, W. Hanke, Europhys. Lett. 17, 559 (1992)
G. Dopf, A. Muramatsu, W. Hanke, Phys. Rev. Lett. 68, 353 (1992)
F.F. Assaad, W. Hanke, D.J. Scalapino, Phys. Rev. B 50, 12835 (1994)
D.J. Scalapino, S. White, S. Zhang, Phys. Rev. B 47, 7995 (1993)
N. Furukawa, M. Imada, J. Phys. Soc. Jpn. 62, 2557 (1993)
F.F. Assaad, M. Imada, Phys. Rev. Lett 74, 3868 (1995)
F.F. Assaad, M. Imada, Phys. Rev. Lett 76, 3176 (1996)
G. Dopf, J. Wagner, P. Dieterich, A. Muramatsu, W. Hanke, Phys. Rev. Lett. 68, 2082 (1992)
C. Gröber, R. Eder, W. Hanke, Phys. Rev. B 62, 4336 (2000)
M. Imada, A. Fujimori, Y. Tokura, Rev. Mod. Phys. 70, 1039 (1998)
M. Vekic, J.W. Cannon, D.J. Scalapino, R.T. Scalettar, R.L. Sugar, Phys. Rev. Lett. 74, 2367 (1995)
F.F. Assaad, Phys. Rev. B 70, 020402 (2004)
I. Milat, F. Assaad, M. Sigrist, Eur. Phys. J. B 38, 571 (2004)
K.S.D. Beach, P.A. Lee, P. Monthoux, Phys. Rev. Lett. 92, 026401 (2004)
S. Nishimoto, F. Gebhard, E. Jeckelmann, J. Phys.: Condens. Matter 16, 7063 (2004)
R. Bulla, Phys. Rev. Lett. 83, 136 (1999)
M.M. M. H. Hettler, M. Jarrell, H.R. Krishnamurthy, Phys. Rev. B 61, 12739 (2000)
G. Kotliar, S.Y. Savrasov, G. Pálsson, G. Biroli, Phys. Rev. Lett. 87, 186401 (2001)
R.M. Fye, Phys. Rev. B 33, 6271 (1986)
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Assaad, F., Evertz, H. (2008). World-line and Determinantal Quantum Monte Carlo Methods for Spins, Phonons and Electrons. In: Fehske, H., Schneider, R., Weiße, A. (eds) Computational Many-Particle Physics. Lecture Notes in Physics, vol 739. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74686-7_10
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