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We introduce a minimal model to describe the charge degree of freedom in cuprates with the on-site Hilbert space reduced to only the three valence states CuO$_4^{7-,6-,5-}$ (nominally Cu$^{1+,2+,3+}$) and make use of the S=1 pseudospin…

强关联电子 · 物理学 2023-01-31 A. S. Moskvin , Yu. D. Panov

We investigate the phase diagram of spinless fermions on a square lattice with nearest-neighbor interaction, using the recently developed projective truncation approximation in Green's function equation of motion. For attractive…

强关联电子 · 物理学 2022-02-03 Kou-Han Ma , Ning-Hua Tong

We investigate the ground-state phase diagram of a modified spinless Haldane-Hubbard model with broken threefold rotational symmetry, employing exact diagonalization calculations. The interplay of asymmetry, interactions, and topology gives…

强关联电子 · 物理学 2023-05-03 Tian-Cheng Yi , Hai-Qing Lin , Rubem Mondaini

Engineering a Hamiltonian system with tunable interactions provides opportunities to optimize performance for quantum sensing and explore emerging phenomena of many-body systems. An optical lattice clock based on partially delocalized…

We present a three-dimensional cubic lattice spin model, anisotropic in the $\hat{z}$ direction, that exhibits fracton topological order. The latter is a novel type of topological order characterized by the presence of immobile pointlike…

强关联电子 · 物理学 2018-01-03 Olga Petrova , Nicolas Regnault

Electronic systems living on Archimedean lattices such as kagome and square-octagon networks are presently being intensively discussed for the possible realization of topological insulating phases. Coining the most interesting electronic…

强关联电子 · 物理学 2023-05-05 Paul Wunderlich , Francesco Ferrari , Roser Valentí

We propose a realization of a two-dimensional higher-order topological insulator with ultracold atoms loaded into orbital angular momentum (OAM) states of an optical lattice. The symmetries of the OAM states induce relative phases in the…

量子气体 · 物理学 2019-11-11 G. Pelegrí , A. M. Marques , V. Ahufinger , J. Mompart , R. G. Dias

We discuss a protocol for growing states with topological order in interacting many-body systems using a sequence of flux quanta and particle insertion. We first consider a simple toy model, the superlattice Bose Hubbard model, to explain…

量子气体 · 物理学 2015-06-03 Fabian Letscher , Fabian Grusdt , Michael Fleischhauer

Light can mediate effective dipole-dipole interactions between atoms or quantum emitters coupled to a common environment. Exploiting them to tailor a desired effective Hamiltonian can have major applications and advance the search for…

Most topological insulators discovered today in spinful systems can be transformed from topological semimetals (TSMs) with vanishing bulk gap via introducing the spin-orbit coupling (SOC), which manifests the intrinsic links between the…

We study an effective Hamiltonian generating time evolution of states on intermediate time scales in the strong-coupling limit of the spin-1/2 XXZ model. To leading order, it describes an integrable model with local interactions. We solve…

统计力学 · 物理学 2021-05-05 Lenart Zadnik , Maurizio Fagotti

We broaden the scope of quantum field theory by introducing a general class of discrete gauge theories that realize either topological order or fracton behavior across dimensions. We start from translation-invariant systems endowed with…

强关联电子 · 物理学 2026-01-21 Guilherme Delfino , Claudio Chamon , Yizhi You

We give a general condition for a discrete spin system with nearest-neighbor interactions on the $\mathbb{Z}^d$ lattice to exhibit long-range order. The condition is applicable to systems with residual entropy in which the long-range order…

统计力学 · 物理学 2018-01-03 Ron Peled , Yinon Spinka

We introduce a construction of symmetry-enriched topological orders on bipartite lattices in which two $\mathbb{Z}_2$ spin liquids defined on each sublattice are combined, and then anyons are condensed to reduce the topological order. By…

强关联电子 · 物理学 2018-12-19 Jong Yeon Lee , Ari Turner , Ashvin Vishwanath

We propose a two-dimensional time-reversal invariant system of essentially non-interacting electrons on a square lattice that exhibits configurations with fractional charges e/2. These are vortex-like topological defects in the dimerization…

强关联电子 · 物理学 2011-08-08 B. Seradjeh , C. Weeks , M. Franz

The concept of topological phases has been generalized to higher-order topological insulators and superconductors with novel boundary states on corners or hinges. Meanwhile, recent experimental advances in controlling dissipation (such as…

介观与纳米尺度物理 · 物理学 2019-11-11 Xi-Wang Luo , Chuanwei Zhang

Strongly correlated quantum many-body systems at low dimension exhibit a wealth of phenomena, ranging from features of geometric frustration to signatures of symmetry-protected topological order. In suitable descriptions of such systems, it…

强关联电子 · 物理学 2017-12-29 A. Nietner , C. Krumnow , E. J. Bergholtz , J. Eisert

The topological Anderson and Mott insulators are two phases that have so far been separately and widely explored beyond topological band insulators. Here we combine the two seemingly different topological phases into a system of spin-1/2…

量子气体 · 物理学 2021-11-10 Guo-Qing Zhang , Ling-Zhi Tang , Ling-Feng Zhang , Dan-Wei Zhang , Shi-Liang Zhu

We exhibit an algorithm with continuous instructions for two robots moving without collisions on a track shaped as a wedge of three circles. We show that the topological complexity of the configuration space associated with this problem is…

机器人学 · 计算机科学 2020-10-13 Elif Sensoy

We study a 3D generalization of the toric code model introduced recently by Chamon. This is an exactly solvable spin model with six-qubit nearest neighbor interactions on an FCC lattice whose ground space exhibits topological quantum order.…

量子物理 · 物理学 2015-05-19 Sergey Bravyi , Bernhard Leemhuis , Barbara M. Terhal