Publications

2023

• H.-C. Zhang, Y.-H. Wu, and H.-H. Tu, Generalized Calogero-Sutherland models for Kondo physics in the Luttinger liquid, Phys. Rev. B 108, L161102 (2023).

• Y.-H. Wu, H.-H. Tu, and M. Cheng, Impurity screening by defects in (1+1)d quantum critical systems, arXiv:2307.09519.

• V. Link, H.-H. Tu, and W. T. Strunz, Open quantum system dynamics from infinite tensor network contraction, arXiv:2307.01802.

• S. Chulliparambil, H.-C. Zhang, and H.-H. Tu, Symmetry-protected topological phases, conformal criticalities, and duality in exactly solvable SO(n) spin chains, Phys. Rev. B 108, 094411 (2023).

• Y. Zhang, A. Hulsch, H.-C. Zhang, W. Tang, L. Wang, and H.-H. Tu, Universal scaling of Klein bottle entropy near conformal critical points, Phys. Rev. Lett. 130, 151602 (2023).

• Q. Yang, X.-Y. Zhang, H.-J. Liao, H.-H. Tu, and L. Wang, Projected d-wave superconducting state: a fermionic projected entangled pair state study, Phys. Rev. B 107, 125128 (2023).

• J.-W. Li, J. von Delft, and H.-H. Tu, U(1)-symmetric Gaussian fermionic projected entangled paired states and their Gutzwiller projection, Phys. Rev. B 107, 085148 (2023).

• Y.-H. Wu, H.-H. Tu, and M. Cheng, Continuous phase transitions between fractional quantum Hall states and symmetry-protected topological states, arXiv:2302.06501.

2022

• R.-Y. Sun, H.-K. Jin, H.-H. Tu, and Y. Zhou, Possible chiral spin liquid state in the S=1/2 kagome Heisenberg model, arXiv:2203.07321.

• Y.-H. Wu and H.-H. Tu, Non-Abelian topological order with SO(5)₁ chiral edge states, Phys. Rev. B 106, 115129 (2022).

• B.-B. Chen, H.-H. Tu, Z. Y. Meng, and M. Cheng, Topological disorder parameter: A many-body invariant to characterize gapped quantum phases, Phys. Rev. B 106, 094415 (2022).

• R. Vanhove, L. Lootens, H.-H. Tu, and F. Verstraete, Topological aspects of the critical three-state Potts model, J. Phys. A 55, 235002 (2022).
• H.-K. Jin, R.-Y. Sun, H.-H. Tu, and Y. Zhou, Unveiling a critical stripy state in the triangular-lattice SU(4) spin-orbital model, Sci. Bull. 67, 918 (2022) (see full article).
• H.-C. Zhang, Y.-H. Wu, T. Xiang, and H.-H. Tu, Chiral conformal field theory for topological states and the anyon eigenbasis on the torus, Nucl. Phys. B 976, 115712 (2022).
• H.-K. Jin, R.-Y. Sun, Y. Zhou, and H.-H. Tu, Matrix product states for Hartree-Fock-Bogoliubov wave functions, Phys. Rev. B 105, L081101 (2022).

2021

• W. Tang, X. C. Xie, L. Wang, and H.-H. Tu, Tensor network simulation of the (1+1)-dimensional O(3) nonlinear σ-model with θ=π term, Phys. Rev. D 104, 114513 (2021).
• J.-Y. Chen, J.-W. Li, P. Nataf, S. Capponi, M. Mambrini, K. Totsuka, H.-H. Tu, A. Weichselbaum, J. von Delft, and D. Poilblanc, Abelian SU(N)₁ chiral spin liquids on the square lattice, Phys. Rev. B 104, 235104 (2021).
• H.-K. Jin, H.-H. Tu, and Y. Zhou, Density matrix renormalization group boosted by Gutzwiller projected wave functions, Phys. Rev. B 104, L020409 (2021).
• S. Chulliparambil, L. Janssen, M. Vojta, H.-H. Tu, and U. F. P. Seifert, Flux crystals, Majorana metals, and flat bands in exactly solvable spin-orbital liquids, Phys. Rev. B 103, 075144 (2021).
• H.-C. Zhang, Y.-H. Wu, H.-H. Tu, and T. Xiang, Resonating valence bond realization of spin-1 non-Abelian chiral spin liquid on the torus, Phys. Rev. B 103, 075130 (2021).

2020

• U. F. P. Seifert, X.-Y. Dong, S. Chulliparambil, M. Vojta, H.-H. Tu, and L. Janssen, Fractionalized fermionic quantum criticality in spin-orbital Mott insulators, Phys. Rev. Lett. 125, 257202 (2020).
• S. Chulliparambil, U. F. P. Seifert, M. Vojta, L. Janssen, and H.-H. Tu, Microscopic models for Kitaev's sixteenfold way of anyon theories, Phys. Rev. B 102, 201111(R) (2020).
• W. Tang, H.-H. Tu, and L. Wang, Continuous matrix product operator approach to finite temperature quantum states, Phys. Rev. Lett. 125, 170604 (2020).
• J.-D. Chen, H.-H. Tu, Y.-H. Wu, and Z.-F. Xu, Quantum phases of two-component bosons on the Harper-Hofstadter ladder, Phys. Rev. A 102, 043322 (2020).
• Z.-Q. Li, L.-P. Yang, Z.-Y. Xie, H.-H. Tu, H.-J. Liao, and T. Xiang, Critical properties of the two-dimensional q-state clock model, Phys. Rev. E 101, 060105(R) (2020).
• Y.-H. Wu, L. Wang, and H.-H. Tu, Tensor network representations of parton wave functions, Phys. Rev. Lett. 124, 246401 (2020).
• H.-K. Jin, H.-H. Tu, and Y. Zhou, Efficient tensor network representation for Gutzwiller projected states of paired fermions, Phys. Rev. B 101, 165135 (2020).

2019

• Y.-H. Wu and H.-H. Tu, Quantum impurity models from conformal field theory,  J. High Energ. Phys. 11, 066 (2019).
• W. Tang, X. C. Xie, L. Wang, and H.-H. Tu, Quantized thermal Hall conductance from edge current calculations in lattice models, Phys. Rev. B 100, 155112 (2019).
• H.-H. Tu and Y.-H. Wu, Exactly solvable quantum impurity model with inverse-square interactions, Phys. Rev. Lett. 123, 066406 (2019).
• W. Tang, X. C. Xie, L. Wang, and H.-H. Tu, Klein bottle entropy of compactified boson conformal field theory, Phys. Rev. B 99, 115105 (2019).

2018

• X.-Y. Dong, J.-Y. Chen, and H.-H. Tu, SU(3) trimer resonating-valence-bond state on the square lattice, Phys. Rev. B 98, 205117 (2018).

2017

• H.-H. Tu, Universal entropy of conformal critical theories on a Klein bottle, Phys. Rev. Lett. 119, 261603 (2017).

Before joining TU Dresden:

• Z.-X. Liu, H.-H. Tu, Y.-H. Wu, R.-Q. He, X.-J. Liu, Y. Zhou, and T.-K. Ng, Non-Abelian S=1 chiral spin liquid on the kagome lattice, Phys. Rev. B 97, 195158 (2018); link

• W. Tang, L. Chen, W. Li, X. C. Xie, H.-H. Tu, and L. Wang, Universal boundary entropies in conformal field theory: A quantum Monte Carlo study, Phys. Rev. B 96, 115136 (2017) (Editors' suggestion); link
• Y.-H. Wu, H.-H. Tu, and G. J. Sreejith, Fractional quantum Hall states of bosons on cones, Phys. Rev. A 96, 033622 (2017); link

• S. Montes, J. Rodriguez-Laguna, H.-H. Tu, and G. Sierra, Many-body lattice wave functions from conformal blocks, Phys. Rev. B 95, 085146 (2017); link

• A. Hackenbroich and H.-H. Tu, Parent Hamiltonians for lattice Halperin states from free-boson conformal field theories, Nucl. Phys. B 916, 1 (2017); link
• Y.-H. Wu and H.-H. Tu, Possible SU(3) chiral spin liquid on the kagome lattice, Phys. Rev. B 94, 201113(R) (2016); link

• A. Kshetrimayum, H.-H. Tu, and R. Orús, Symmetry-protected intermediate trivial phases in quantum spin chains, Phys. Rev. B 93, 245112 (2016); link

• B. Herwerth, G. Sierra, H.-H. Tu, J. I. Cirac, and A. E. B. Nielsen, Edge states for the Kalmeyer-Laughlin wave function, Phys. Rev. B 92, 245111 (2015); link

• L. Mazza, M. Aidelsburger, H.-H. Tu, N. Goldman, and M. Burrello, Methods for detecting charge fractionalization and winding numbers in an interacting fermionic ladder, New J. Phys. 17, 105001 (2015); link

• H.-H. Tu and G. Sierra, Infinite matrix product states, boundary conformal field theory, and the open Haldane-Shastry model, Phys. Rev. B 92, 041119(R) (2015); link

• B. Herwerth, G. Sierra, H.-H. Tu, and A. E. B. Nielsen, Excited states in spin chains from conformal blocks, Phys. Rev. B 91, 235121 (2015); link

• W. Li, A. Weichselbaum, J. von Delft, and H.-H. Tu, Hexagon-singlet solid ansatz for the spin-1 kagome antiferromagnet, Phys. Rev. B 91, 224414 (2015); link

• A. Kshetrimayum, H.-H. Tu, and R. Orús, All spin-1 topological phases in a single spin-2 chain, Phys. Rev. B 91, 205118 (2015); link

• S. Yang, T. B. Wahl, H.-H. Tu, N. Schuch, and J. I. Cirac, Chiral projected entangled-pair state with topological order, Phys. Rev. Lett. 114, 106803 (2015); link

• W. Li, S. Yang, H.-H. Tu, and M. Cheng, Criticality in translation-invariant parafermion chains, Phys. Rev. B 91, 115133 (2015); link

• H.-H. Tu, A. E. B. Nielsen, and G. Sierra, Quantum spin models for the SU(n)_1 Wess-Zumino-Witten model, Nucl. Phys. B 886, 328 (2014); link

• T. B. Wahl, S. T. Haßler, H.-H. Tu, J. I. Cirac, and N. Schuch, Symmetries and boundary theories for chiral projected entangled pair states, Phys. Rev. B 90, 115133 (2014); link

• W. Li, S. Yang, M. Cheng, Z.-X. Liu, and H.-H. Tu, Topology and criticality in resonating Affleck-Kennedy-Lieb-Tasaki loop spin liquid states, Phys. Rev. B 89, 174411 (2014); link

• H.-H. Tu, A. E. B. Nielsen, J. I. Cirac, and G. Sierra, Lattice Laughlin states for bosons and fermions at filling fractions 1/q, New J. Phys. 16, 033025 (2014); link

• T. B. Wahl, H.-H. Tu, N. Schuch, and J. I. Cirac, Projected entangled-pair states can describe chiral topological states, Phys. Rev. Lett. 111, 236805 (2013); link

• H.-H. Tu, Y. Zhang, and X.-L. Qi, Momentum polarization: an entanglement measure of topological spin and chiral central charge, Phys. Rev. B 88, 195412 (2013); link

• H.-H. Tu, Projected BCS states and spin Hamiltonians for the SO(n)_1 Wess-Zumino-Witten model, Phys. Rev. B 87, 041103(R) (2013); link

• Z.-X. Liu, Y. Zhou, H.-H. Tu, X.-G. Wen, and T.-K. Ng, Gutzwiller projected wave functions in the fermionic theory of S=1 spin chains, Phys. Rev. B 85, 195144 (2012); link

• H.-H. Tu and R. Orús, Intermediate Haldane phase in spin-2 quantum chains with uniaxial anisotropy, Phys. Rev. B 84, 140407(R) (2011); link

• M. Cheng and H.-H. Tu, Majorana edge states in interacting two-chain ladders of fermions, Phys. Rev. B 84, 094503 (2011); link

• R. Orús, T.-C. Wei, and H.-H. Tu, Phase diagram of the SO(n) bilinear-biquadratic chain from many-body entanglement, Phys. Rev. B 84, 064409 (2011); link

• H.-H. Tu and R. Orús, Effective field theory for the SO(n) bilinear-biquadratic spin chain, Phys. Rev. Lett. 107, 077204 (2011); link

• R. Orús and H.-H. Tu, Entanglement and SU(n) symmetry in one-dimensional valence-bond solid states, Phys. Rev. B 83, 201101(R) (2011); link

• H.-H. Tu and M. Sanz, Exact renormalization in quantum spin chains, Phys. Rev. B 82, 104404 (2010); link

• H.-H. Tu, G.-M. Zhang, T. Xiang, Z.-X. Liu, and T.-K. Ng, Topologically distinct classes of valence-bond solid states with their parent Hamiltonians, Phys. Rev. B 80, 014401 (2009); link

• H.-H. Tu, G.-M. Zhang, and T. Xiang, Maximized string order parameters in the valence bond solid states of quantum integer spin chains, J. Phys. A 42, 285202 (2009); link

• H.-H. Tu, G.-M. Zhang, and T. Xiang, Class of exactly solvable SO(n) symmetric spin chains with matrix product ground states, Phys. Rev. B 78, 094404 (2008) (Editors' suggestion); link

• H.-H. Tu, G.-M. Zhang, and T. Xiang, String order and hidden topological symmetry in the SO(2n+1) symmetric matrix product states, J. Phys. A 41, 415201 (2008); link

• H.-H. Tu, G.-M. Zhang, and L. Yu, Mott insulating phases and quantum phase transitions of interacting spin-3/2 fermionic cold atoms in optical lattices at half filling, Phys. Rev. B. 76, 014438 (2007); link

• H.-H. Tu, G.-M. Zhang, and L. Yu, Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model, Phys. Rev. B. 74, 174404 (2006); link