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We construct a family of integrable vertex model based on the typical four-dimensional representations of the quantum group deformation of the Lie superalgebra $sl(2|1)$. Upon alternation of such a representation with its dual this model…

Statistical Mechanics · Physics 2012-05-16 Holger Frahm , Márcio J. Martins

Strongly correlated analogues of topological insulators have been explored in systems with purely on-site symmetries, such as time-reversal or charge conservation. Here, we use recently developed tensor network tools to study a quantum…

Strongly Correlated Electrons · Physics 2015-11-11 Brayden Ware , Itamar Kimchi , S. A. Parameswaran , Bela Bauer

In this work, we present new, highly non-trivial area-law exact zero-energy eigenstates of the one-dimensional (1D) PXP and related models. We formulate sufficient conditions for a matrix product state to represent an exact zero-energy…

Quantum Physics · Physics 2025-03-21 Andrew N. Ivanov , Olexei I. Motrunich

Topological insulators (TIs) present a neoteric class of materials, which support delocalised, conducting surface states despite an insulating bulk. Due to their intriguing electronic properties, their optical properties have received…

Presence of entangled states is explicitly shown in Topological insulator (TI) $Bi_2Te_3$. The surface and bulk state are found to have the different structures of entanglement. The surface states live as maximally entangled states in the…

Quantum Physics · Physics 2017-04-04 Anvesh Raja Kovela , Anant Vijay Verma , Prasanta K. Panigrahi , Bhavesh Chauhan

Topological defects are discontinuities of a system protected by global properties, with wide applications in mathematics and physics. While previous experimental studies mostly focused on their classical properties, it has been predicted…

We investigate quantum transport and thermoelectrical properties of a finite-size Su-Schrieffer-Heeger model, a paradigmatic model for a one-dimensional topological insulator, which displays topologically protected edge states. By coupling…

Statistical Mechanics · Physics 2018-07-25 Sina Böhling , Georg Engelhardt , Gloria Platero , Gernot Schaller

We study a generic model of self-assembling chains which can branch and form networks with branching points (junctions) of arbitrary functionality. The physical realizations include physical gels, wormlike micells, dipolar fluids and…

Soft Condensed Matter · Physics 2009-11-07 A. G. Zilman , S. A. Safran

A powerful means to understanding condensed matter that possesses a multi-constituent, non-isolated, and complex nature, with a preeminent example being two-dimensional (2D) materials, is studying many-body interactions. However,…

We study a Y junction of spin-1/2 Heisenberg chains with an interaction that breaks both time-reversal and chain exchange symmetries, but not their product nor SU(2) symmetry. The boundary phase diagram features a stable disconnected fixed…

Strongly Correlated Electrons · Physics 2019-03-25 F. Buccheri , R. Egger , R. G. Pereira , F. B. Ramos

The deconfined quantum critical point, a prototype Landau-forbidden transition, could exist in principle in the phase transitions involving symmetry protected topological phase, however, examples of such kinds of transition in physical…

Strongly Correlated Electrons · Physics 2020-01-27 Tian-Sheng Zeng , D. N. Sheng , W. Zhu

We study the coupled twin-diamond chain, a decorated one-dimensional Ising model motivated by the magnetic structure of $\mathrm{Cu}_{2}(\mathrm{TeO}_{3})_{2}\mathrm{Br}_{2}$. By applying an exact mapping to an effective Ising chain, we…

Statistical Mechanics · Physics 2026-02-23 Onofre Rojas

Topological insulators are characterized by a nontrivial band topology driven by the spin-orbit coupling. To fully explore the fundamental science and application of topological insulators, material realization is indispensable. Here we…

Materials Science · Physics 2011-12-30 Di Xiao , Wenguang Zhu , Ying Ran , Naoto Nagaosa , Satoshi Okamoto

Hilbert space fragmentation is an intriguing paradigm of ergodicity breaking in interacting quantum many-body systems with applications to quantum information technology, but it is usually adversely compromised in the presence of…

Quantum Physics · Physics 2024-03-05 Pranay Patil , Ayushi Singhania , Jad C. Halimeh

Quantum simulation - the use of one quantum system to simulate a less controllable one - may provide an understanding of the many quantum systems which cannot be modeled using classical computers. Impressive progress on control and…

We study the boundary physics of bulk insulators by considering three coupled Hubbard chains in a linear confining potential. In the Hartree-Fock approximation, the ground state at and slightly off the particle-hole symmetric point remains…

Mesoscale and Nanoscale Physics · Physics 2022-02-10 Niels John , Yuval Gefen , Bernd Rosenow

The interplay between strong electron-electron interaction and symmetry breaking can have profound influence on the topological properties of materials. In magic angle twisted bilayer graphene (MATBG), the flat band with a single SU(4)…

We investigate the tunability of electrostatic coupling between solid state quantum dots as building blocks for quantum bits. Specifically, our analysis is based upon two-dimensional electron systems (2DEG) and depletion by top gates. We…

Mesoscale and Nanoscale Physics · Physics 2009-02-17 A. Weichselbaum , S. E. Ulloa

We consider a classical XY-like Hamiltonian on a body-centered tetragonal lattice, focusing on the role of interlayer frustration. A three-dimensional (3D) ordered phase is realized via thermal fluctuations, breaking the mirror-image…

Strongly Correlated Electrons · Physics 2012-03-12 Yoshitomo Kamiya , Naoki Kawashima , Cristian D. Batista

We present a theory of three dimensional fractionalized topological insulators in the form of U(1) spin liquids with gapped fermionic spinons in the bulk and topologically protected gapless spinon surface states. Starting from a spin-1/2…

Strongly Correlated Electrons · Physics 2012-06-27 Subhro Bhattacharjee , Yong Baek Kim , Sung-Sik Lee , Dung-Hai Lee