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- Haijun Zhang, C X Liu, X. Qi, Xi Dai, Zhong Fang, Shou-Cheng Zhang
- 2009

Topological insulators are new states of quantum matter in which surface states residing in the bulk insulating gap of such systems are protected by time-reversal symmetry. The study of such statesâ€¦ (More)

- Qin Liu, C X Liu, Cenke Xu, X. Qi, Shou-Cheng Zhang
- Physical review letters
- 2009

The surface states of a topological insulator are described by an emergent relativistic massless Dirac equation in 2 + 1 dimensions. In contrast with graphene, there is an odd number of Dirac points,â€¦ (More)

- C X Liu, X. Qi, Xi Dai, Zhong Fang, Shou-Cheng Zhang
- Physical review letters
- 2008

The quantum Hall effect is usually observed when a two-dimensional electron gas is subjected to an external magnetic field, so that their quantum states form Landau levels. In this work we predictâ€¦ (More)

- Markus KÃ¶nig, Hartmut Buhmann, +4 authors Shou-Cheng Zhang
- 2008

The search for topologically non-trivial states of matter has become an important goal for condensed matter physics. Recently, a new class of topological insulators has been proposed. Theseâ€¦ (More)

- Peng Cheng, Canli Song, +17 authors Q. Xue
- Physical review letters
- 2010

We report the direct observation of Landau quantization in Bi2Se3 thin films by using a low-temperature scanning tunneling microscope. In particular, we discovered the zeroth Landau level, which isâ€¦ (More)

- Haijun Zhang, C X Liu, Shou-Cheng Zhang
- Physical review letters
- 2013

For three-dimensional topological insulators in the Bi2Se3 family, topological surface states with p(z) orbitals have a left-handed spin texture for the upper Dirac cone and a right-handed spinâ€¦ (More)

- Zheng Liu, C X Liu, Yong-Shi Wu, Wen-Hui Duan, Feng Liu, Jian Wu
- Physical review letters
- 2011

Recently, there have been intense efforts in searching for new topological insulator materials. Based on first-principles calculations, we find that all the ultrathin Bi (111) films are characterizedâ€¦ (More)

- Lin Miao, Zhengfei Wang, +14 authors Jun Jia
- Proceedings of the National Academy of Sciencesâ€¦
- 2013

Topological insulators and graphene present two unique classes of materials, which are characterized by spin-polarized (helical) and nonpolarized Dirac cone band structures, respectively. Theâ€¦ (More)

- Abhinav Kandala, Anthony R Richardella, Susan Kempinger, C X Liu, Nitin Samarth
- Nature communications
- 2015

When a three-dimensional ferromagnetic topological insulator thin film is magnetized out-of-plane, conduction ideally occurs through dissipationless, one-dimensional (1D) chiral states that areâ€¦ (More)

- Xin Liu, Hsiu-Chuan Hsu, C X Liu
- Physical review letters
- 2013

The quantum Hall effect can only be induced by an out-of-plane magnetic field for two-dimensional electron gases, and similarly, the quantum anomalous Hall effect has also usually been considered forâ€¦ (More)