C. Holzhey, F. Larsen, and F. Wilczek, Geometric and renormalized entropy in conformal field theory, Nuclear Physics B, vol.424, issue.3, p.443, 1994.
DOI : 10.1016/0550-3213(94)90402-2

G. Vidal, J. I. Latorre, E. Rico, and A. Kitaev, Entanglement in Quantum Critical Phenomena, Physical Review Letters, vol.90, issue.22, p.227902, 2003.
DOI : 10.1103/PhysRevLett.90.227902

URL : http://arxiv.org/abs/quant-ph/0211074

A. Kitaev and J. Preskill, Topological Entanglement Entropy, Physical Review Letters, vol.96, issue.11, p.110404, 2006.
DOI : 10.1103/PhysRevLett.96.110404

M. Levin and X. Wen, Detecting Topological Order in a Ground State Wave Function, Physical Review Letters, vol.96, issue.11, p.110405, 2006.
DOI : 10.1103/PhysRevLett.96.110405

F. Evers and A. D. Mirlin, Anderson transitions, Reviews of Modern Physics, vol.80, issue.4, p.1355, 2008.
DOI : 10.1103/RevModPhys.80.1355

Y. Y. Atas and E. Bogomolny, Multifractality of eigenfunctions in spin chains, Physical Review E, vol.86, issue.2, p.21104, 2012.
DOI : 10.1103/PhysRevE.86.021104

URL : https://hal.archives-ouvertes.fr/hal-00702547

J. Stéphan, S. Furukawa, G. Misguich, and V. Pasquier, Shannon and entanglement entropies of one- and two-dimensional critical wave functions, Physical Review B, vol.80, issue.18, p.184421, 2009.
DOI : 10.1103/PhysRevB.80.184421

J. Stéphan, G. Misguich, and V. Pasquier, R??nyi entropy of a line in two-dimensional Ising models, Physical Review B, vol.82, issue.12, p.125455, 2010.
DOI : 10.1103/PhysRevB.82.125455

M. P. Zaletel, J. H. Bardarson, and J. E. Moore, Logarithmic Terms in Entanglement Entropies of 2D Quantum Critical Points and Shannon Entropies of Spin Chains, Physical Review Letters, vol.107, issue.2, p.20402, 2011.
DOI : 10.1103/PhysRevLett.107.020402

J. Stéphan, G. Misguich, and V. Pasquier, Phase transition in the R??nyi-Shannon entropy of Luttinger liquids, Physical Review B, vol.84, issue.19, p.195128, 2011.
DOI : 10.1103/PhysRevB.84.195128

H. F. Song, N. Laflorencie, S. Rachel, and K. L. Hur, Entanglement entropy of the two-dimensional Heisenberg antiferromagnet, Physical Review B, vol.83, issue.22, p.224410, 2011.
DOI : 10.1103/PhysRevB.83.224410

A. B. Kallin, M. B. Hastings, R. G. Melko, and R. R. Singh, Anomalies in the entanglement properties of the square-lattice Heisenberg model, Physical Review B, vol.84, issue.16, p.165134, 2011.
DOI : 10.1103/PhysRevB.84.165134

D. J. Luitz, F. Alet, and N. Laflorencie, Universal Behavior beyond Multifractality in Quantum Many-Body Systems, Physical Review Letters, vol.112, issue.5, p.57203, 2014.
DOI : 10.1103/PhysRevLett.112.057203

URL : https://hal.archives-ouvertes.fr/hal-00982452

D. J. Luitz, F. Alet, and N. Laflorencie, criticality, Physical Review B, vol.89, issue.16, p.165106, 2014.
DOI : 10.1103/PhysRevB.89.165106

URL : https://hal.archives-ouvertes.fr/hal-00982461

H. Nielsen and S. Chadha, On how to count Goldstone bosons, Nuclear Physics B, vol.105, issue.3, p.445, 1976.
DOI : 10.1016/0550-3213(76)90025-0

H. Watanabe and H. Murayama, Unified Description of Nambu-Goldstone Bosons without Lorentz Invariance, Physical Review Letters, vol.108, issue.25, p.251602, 2012.
DOI : 10.1103/PhysRevLett.108.251602

B. Duplantier and F. David, Exact partition functions and correlation functions of multiple Hamiltonian walks on the Manhattan lattice, Journal of Statistical Physics, vol.57, issue.3-4, p.327, 1988.
DOI : 10.1007/BF01028464

B. Osgood, R. Phillips, and P. Sarnak, Extremals of determinants of Laplacians, Journal of Functional Analysis, vol.80, issue.1, p.148, 1988.
DOI : 10.1016/0022-1236(88)90070-5

L. Rademaker, Tower of states and the entanglement spectrum in a coplanar antiferromagnet, Physical Review B, vol.92, issue.14, p.144419, 2015.
DOI : 10.1103/PhysRevB.92.144419

E. Fradkin and J. E. Moore, Entanglement Entropy of 2D Conformal Quantum Critical Points: Hearing the Shape of a Quantum Drum, Physical Review Letters, vol.97, issue.5, p.50404, 2006.
DOI : 10.1103/PhysRevLett.97.050404

B. Hsu, M. Mulligan, E. Fradkin, and E. Kim, Universal entanglement entropy in two-dimensional conformal quantum critical points, Physical Review B, vol.79, issue.11, p.115421, 2009.
DOI : 10.1103/PhysRevB.79.115421

P. W. Anderson, An Approximate Quantum Theory of the Antiferromagnetic Ground State, Physical Review, vol.86, issue.5, p.694, 1952.
DOI : 10.1103/PhysRev.86.694

B. Bernu, C. Lhuillier, and L. Pierre, Signature of N??el order in exact spectra of quantum antiferromagnets on finite lattices, Physical Review Letters, vol.69, issue.17, p.2590, 1992.
DOI : 10.1103/PhysRevLett.69.2590

T. Koma and H. Tasaki, Symmetry breaking and finite-size effects in quantum many-body systems, Journal of Statistical Physics, vol.15, issue.3-4, p.745, 1994.
DOI : 10.1007/BF02188685

A. Shimizu and T. Miyadera, Robustness of Wave Functions of Interacting Many Bosons in a Leaky Box, Physical Review Letters, vol.85, issue.4, p.688, 2000.
DOI : 10.1103/PhysRevLett.85.688

F. C. Alcaraz and M. A. Rajabpour, Universal Behavior of the Shannon Mutual Information of Critical Quantum Chains, Physical Review Letters, vol.111, issue.1, p.17201, 2013.
DOI : 10.1103/PhysRevLett.111.017201

J. Stéphan, Shannon and R??nyi mutual information in quantum critical spin chains, Physical Review B, vol.90, issue.4, p.45424, 2014.
DOI : 10.1103/PhysRevB.90.045424

D. J. Luitz, X. Plat, F. Alet, and N. Laflorencie, Universal logarithmic corrections to entanglement entropies in two dimensions with spontaneously broken continuous symmetries, Physical Review B, vol.91, issue.15, p.155145, 2015.
DOI : 10.1103/PhysRevB.91.155145

URL : https://hal.archives-ouvertes.fr/hal-01153291

E. Stoudenmire and S. R. White, Studying Two-Dimensional Systems with the Density Matrix Renormalization Group, Annual Review of Condensed Matter Physics, vol.3, issue.1, p.111, 2012.
DOI : 10.1146/annurev-conmatphys-020911-125018