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Journal Papers (peer reviewed)

Automatic structural optimization of tree tensor networks, Toshiya Hikihara, Hiroshi Ueda, Kouichi Okunishi, Kenji Harada, and Tomotoshi Nishino, Phys. Rev. Research 5, 013031 (11 pages) (2023). Frustration-induced Quantum Spin Liquid Behavior in the s = 1/2 Random-bond Heisenberg Antiferromagnet on the Zigzag Chain, Kazuki Uematsu, Toshiya Hikihara, and Hikaru Kawamura, J. Phys. Soc. Jpn. 90, 124703 (10 Pages) (2021). Entanglement-based tensor-network strong-disorder renormalization group, Kouichi Seki, Toshiya Hikihara, and Kouichi Okunishi, Phys. Rev. B 104, 134405 (9 pages) (2021). Magnetoelastic study on the frustrated quasi-one-dimensional spin-1/2 magnet LiCuVO4, A. Miyata, T. Hikihara, S. Furukawa, R. K. Kremer, S. Zherlitsyn, and J. Wosnitza, Phys. Rev. B 103, 014411 (8 pages) (2021). Tensor-network strong-disorder renormalization groups for random quantum spin systems in two dimensions, Kouichi Seki, Toshiya Hikihara, and Kouichi Okunishi, Phys. Rev. B 102, 144439 (9 pages) (2020). Spin nematics in frustrated spin-dimer systems with bilayer structure, Toshiya Hikihara, Takahiro Misawa, and Tsutomu Momoi, Phys. Rev. B 100, 214414 (20 pages) (2019). Quantum phase transitions beyond Landau-Ginzburg theory in one-dimensional space revisited, Christopher Mudry, Akira Furusaki, Takahiro Morimoto, and Toshiya Hikihara, Phys. Rev. B 99, 205153 (22 pages) (2019). Ground-State Phase Diagram of an Anisotropic S=1/2 Ladder with Different Leg Interactions, Takashi Tonegawa, Toshiya Hikihara, Kiyomi Okamoto, Shunsuke C. Furuya, and Toru Sakai, J. Phys. Soc. Jpn. 87, 104002 (11 Pages) (2018). Dimer correlation amplitudes and dimer excitation gap in spin-1/2 XXZ and Heisenberg chains, Toshiya Hikihara, Akira Furusaki, and Sergei Lukyanov, Phys. Rev. B 96, 134429 (10 pages) (2017). Exact Ground States of Frustrated Quantum Spin Systems Consisting of Spin-Dimer Units, Toshiya Hikihara, Takashi Tonegawa, Kiyomi Okamoto, and Toru Sakai, J. Phys. Soc. Jpn. 86, 054709 (8 Pages) (2017). Edge magnetism of Heisenberg model on honeycomb lattice, Wen-Min Huang, Toshiya Hikihara, Yen-Chen Lee, and Hsiu-Hau Lin, Sci. Rep. 7, 43678 (9 pages) (2017). Long-distance entanglement in one-dimensional quantum systems under sinusoidal deformation, Toshiya Hikihara and Takafumi Suzuki, Phys. Rev. A 87, 042337 (5 pages) (2013). Spin-Nematic and Spin-Density-Wave Orders in Spatially Anisotropic Frustrated Magnets in a Magnetic Field, Masahiro Sato, Toshiya Hikihara, and Tsutomu Momoi, Phys. Rev. Lett. 110, 077206 (5 pages) (2013). Sine-square deformation of free fermion systems in one and higher dimensions, Isao Maruyama, Hosho Katsura, and Toshiya Hikihara, Phys. Rev. B 84, 165132 (8 pages) (2011). Connecting distant ends of one-dimensional critical systems by a sine-square deformation, Toshiya Hikihara and Tomotoshi Nishino, Phys. Rev. B 83, 060414(R) (4 pages) (2011). Field and temperature dependence of NMR relaxation rate in the magnetic quadrupolar liquid phase of spin-1/2 frustrated ferromagnetic chains, Masahiro Sato, Toshiya Hikihara, and Tsutomu Momoi, Phys. Rev. B 83, 064405 (10 pages) (2011). Magnetic phase diagram of the spin-1/2 antiferromagnetic zigzag ladder, Toshiya Hikihara, Tsutomu Momoi, Akira Furusaki, and Hikaru Kawamura, Phys. Rev. B 81, 224433 (20 pages) (2010). Phase diagram of the frustrated spin ladder, Toshiya Hikihara and Oleg A. Starykh, Phys. Rev. B 81, 064432 (12 pages) (2010). Ferromagnetism in armchair graphene nanoribbons, Hsiu-Hau Lin, Toshiya Hikihara, Horng-Tay Jeng, Bor-Luen Huang, Chung-Yu Mou, and Xiao Hu, Phys. Rev. B 79, 035405 (9 pages) (2009). Vector chiral and multipolar orders in the spin-1/2 frustrated ferromagnetic chain in magnetic field, Toshiya Hikihara, Lars Kecke, Tsutomu Momoi, and Akira Furusaki, Phys. Rev. B 78, 144404 (19 pages) (2008). Magnetic Phase Diagram of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchanges, T. Hikihara and S. Yamamoto, J. Phys. Soc. Jpn. 77, 014709 (9 pages) (2008). Spin coupling in zigzag Wigner crystals, A. D. Klironomos, Julia S. Meyer, T. Hikihara, K. A. Matveev, Phys. Rev. B 76, 075302 (11 pages) (2007). Spin Dynamics in Molecular Ring Nanomagnets: Significant Effect of Acoustic Phonons and Magnetic Anisotropies, S. Yamamoto and T. Hikihara, J. Phys. Soc. Jpn. 75, 103701 (4 pages) (2006). Renormalization of impurity scattering in one-dimensional interacting electron systems in magnetic field, T. Hikihara, A. Furusaki and K. A. Matveev, Phys. Rev. B 72, 035301 (10 pages) (2005). Orbital and spin interplay in spin-gap formation in pyroxene ATiSi_2O_6 (A = Na,Li), T. Hikihara and Y. Motome, Phys. Rev. B 70, 214404 (12 pages) (2004). Boundary contributions to specific heat and susceptibility in the spin-1/2 XXZ chain, A. Furusaki and T. Hikihara, Phys. Rev. B 69, 094429 (5 pages) (2004). Correlation Amplitudes for the spin-1/2 XXZ chain in a magnetic field, T. Hikihara and A. Furusaki, Phys. Rev. B 69, 064427 (11 page) (2004). Exact duality relations in correlated electron systems, T. Momoi and T. Hikihara, Phys. Rev. Lett. 91, 256405 (4 page) (2003). Dynamical Structure Factor in Cu Benzoate and other spin-1/2 antiferromagnetic chains, F.H.L. Essler, A. Furusaki and T.Hikihara, Phys. Rev. B 68, 064410 (5 page) (2003). Ground-state properties of nanographite systems with zigzag edges, T.Hikihara, X. Hu, H.-H. Lin and C.-Y. Mou, Phys. Rev. B 68, 035432 (9 page) (2003). Scalar chiral ground states of spin ladders with four-spin exchanges, T. Momoi, T. Hikihara, M. Nakamura and X. Hu, Phys. Rev. B 67, 174410 (8 page) (2003). Spin-chirality duality in a spin ladder with four-spin cyclic exchange, T. Hikihara, T. Momoi and X. Hu, Phys. Rev. Lett. 90, 087204 (4 page) (2003). Ground State Phase Diagram of Frustrated Antiferromagnetic S=1 Chain with Uniaxial Single-Ion-Type Anisotropy, T. Hikihara, J. Phys. Soc. Jpn. 71, 319-325 (2002). Ground State Phase Diagrams of Frustrated Spin-S XXZ chains : Chiral Ordered Phases, T. Hikihara, M. Kaburagi and H. Kawamura, Phys. Rev. B 63, 174430 (11 page) (2001). Spin correlations in the two-leg antiferromagnetic ladder in a magnetic field, T. Hikihara and A. Furusaki, Phys. Rev. B 63, 134438 (11 page) (2001). Ground-State Phase Diagram of the Spin-1/2-1/2-1-1 Chain, T. Hikihara, T. Tonegawa, M. Kaburagi, T. Nishino, S. Miyashita, and H.-J. Mikeska, J. Phys. Soc. Jpn. 69, 1207-1218 (2000). Ground State Phase Diagram of Frustrated S=1 XXZ chains : Chiral Ordered Phases, T. Hikihara, M. Kaburagi, H. Kawamura and T. Tonegawa, J. Phys. Soc. Jpn. 69, 259-266 (2000). Numerical renormalization-group study of spin correlations in one-dimensional random spin chains, T. Hikihara, A. Furusaki and M. Sigrist, Phys. Rev. B 60, 12116-12124 (1999). Spin and chiral orderings of frustrated quantum spin chains, M. Kaburagi, H. Kawamura and T. Hikihara, J. Phys. Soc. Jpn. 68, 3185-3188 (1999). Fixed Point of the Finite System DMRG, H. Takasaki, T. Hikihara and T. Nishino, J. Phys. Soc. Jpn. 68, 1537-1540 (1999). Density Matrix Renormalization Group - Introduction from a Variational Point of View -, T. Nishino, T. Hikihara, K. Okunishi and Y. Hieida, Int. J. Mod. Phys. B 13, 1-24 (1999). Correlation amplitude for the S=1/2 XXZ spin chain in the critical region : Numerical renormalization-group study of an open chain, T. Hikihara and A. Furusaki, Phys. Rev. B 58, R583-R586 (1998). Kondo effect in XXZ spin chain, A. Furusaki and T. Hikihara, Phys. Rev. B 58, 5529-5538 (1998). Ground-state and thermodynamic properties of the quantum mixed spin 1/2-1/2-1-1 chain, T. Tonegawa, T. Hikihara, M. Kaburagi, T. Nishino, S. Miyashita, and H.-J. Mikeska, J. Phys. Soc. Jpn. 67, 1000-1013 (1998).

Proceedings Papers (peer reviewed)

Frustrated S=1/2 Two-Leg Ladder with Different Leg Interactions, Takashi Tonegawa, Kiyomi Okamoto, Toshiya Hikihara, and Toru Sakai, J. Phys.: Conf. Ser. 828, 012003 (8 pages) (2017). Ground-state phase diagram of an anisotropic S=1/2 ladder with alternating rung interactions, Takashi Tonegawa, Kiyomi Okamoto, Toshiya Hikihara and Toru Sakai, J. Phys.: Conf. Ser. 683, 012039 (7 pages) (2016). NMR relaxation rate in the field-induced octupolar liquid phase of spin-1/2 J_1-J_2 frustrated chains, Masahiro Sato, Toshiya Hikihara and Tsutomu Momoi, J. Phys.: Conf. Ser. 320. 012014 (6 pages) (2011). Interplay among Spin, Orbital and Lattice Degrees of Freedom in t_2g Electron Systems with Edge-Sharing Network of Octahedra, Y. Motome, H. Tsunetsugu, T. Hikihara, N. Shannon and K. Penc, Prog. Theor. Phys. Suppl. 159, 314-318 (2005). Duality relations and exotic orders in electronic ladder systems, T. Momoi and T. Hikihara, J. Phys. Soc. Jpn. 74 Suppl., 226-233 (2005). Phase transitions in spin-orbital coupled model for pyroxene titanium oxides, T. Hikihara and Y. Motome, J. Phys. Soc. Jpn. 74 Suppl., 212-215 (2005). Scalar chiral order in spin ladders with four-spin exchanges, T. Momoi, T. Hikihara and M. Nakamura, J. Magn. Magn. Mater. 272-276, 914-915 (2004). Numerical renormalization study on magnetic properties of edge states in carbon nanotubes, T. Hikihara and X. Hu, Physica B 329-333, 1166-1167 (2003). Ground-State Phase Diagram of Frustrated Anisotropic Quantum Spin Chain, Toshiya Hikihara, Makoto Kaburagi and Hikaru Kawamura, Prog. Theor. Phys. Suppl. 145, 58-63 (2002). An S=1/2 Impurity Spin in the Antiferromagnetic S=1 Bond-Alternating Chain, Nobuyuki Ogawa, Toshiya Hikihara, Makoto Kaburagi and Takashi Tonegawa, Prog. Theor. Phys. Suppl. 145, 156-169 (2002). Ground State of a Quantum Mixed Spin-1/2-1/2-1-1 Chain with Uniaxial Single-Ion-Type Anisotropy, Takashi Tonegawa, Toshiya Hikihara and Makoto Kaburagi, J. Magn. Magn. Mater. 226-230, 420-422 (2001). Finite-field ground state of an antiferromagnetic spin-1/2 chain with competing interactions, T.Tonegawa, T.Hikihara, K.Okamoto and M.Kaburagi, Physica B 294-295, 39-42 (2001). Chiral ordered phases in a frustrated S=1 chain with uniaxial single-ion-type anisotropy, T.Hikihara, Can. J. Phys. 79, 1593-1597 (2001). Chiral order of Spin-1/2 frustrated quantum spin chains, T. Hikihara, M. Kaburagi and H. Kawamura, Can. J. Phys. 79, 1587-1591 (2001). Ground State of an Ising-Type Spin-1/2 Chain with Competing Interactions, T. Tonegawa, H. Matsumoto, T. Hikihara and M. Kaburagi, Can. J. Phys. 79, 1581-1585 (2001). Ground State of an S=1/2 Distorted Diamond Chain in a finite magnetic field, T. Tonegawa, K. Okamoto, T. Hikihara, Y. Takahashi and M. Kaburagi, J. Phys. Chem. Solids 62, 125-128 (2001). Ground State Properties of an S=1/2 Distorted Diamond Chain, T. Tonegawa, K. Okamoto, T. Hikihara, Y. Takahashi and M. Kaburagi, J. Phys. Soc. Jpn. 69, Suppl.A, 332-338 (2000). One-dimensional Heisenberg antiferromagnet in which two S=1/2 and two S=1 spins are arrenged alternatively, T. Tonegawa, T. Hikihara, T. Nishino, M. Kaburagi, S. Miyashita, and H.-J. Mikeska, J. Magn. Magn. Mater. 177-181, 647-649 (1998).

Articles

エネルギー・スケール変調による量子系の境界条件・トポロジーの制御 引原俊哉、桂法称、丸山勲、西野友年、日本物理学会誌 67-6 (2012) pp.394-398. Density-Matrix Renormalization Group Method for Tomonaga-Luttinger Liquid, Toshiya Hikihara, Kinki University Series on Quantum Computing vol.4, Frontiers in Quantum Information Research, ed. M. Nakahara and S. Tanaka, World Scientific (2012), pp.265-280. Transfar-Matrix Approach to Classical Systems, T.Nishino, K.Okunishi, Y.Hieida, T.Hikihara and H.Takasaki, Springer Lecture Note in Physics 528, Density-Matrix Renormalization, ed. I.Peschel, X.Wang, K.Hallberg, Springer Berlin (1999), pp.127-148. 「密度行列繰込み群」の変分原理 西野友年、奥西巧一、引原俊哉、物性研究 68-2 (1997-5) pp.133-155.