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We investigate a topological superconducting wire with balanced gain and loss that is effectively described by the non-Hermitian Kitaev/Majorana chain with parity-time symmetry. This system is shown to possess two distinct types of…

Mesoscale and Nanoscale Physics · Physics 2018-08-10 Kohei Kawabata , Yuto Ashida , Hosho Katsura , Masahito Ueda

Topological quantum states are characterized by nonlocal invariants, and their detection is intrinsically challenging. Various strategies have been developed to study topological Hamiltonians through their equilibrium states. We present a…

The Kitaev chain has been extensively explored in the context of uniform couplings, with studies focusing either on purely nearest-neighbor interactions or on systems dominated by long-range superconducting pairing. Building on these…

Quantum Physics · Physics 2025-12-25 Rajiv Kumar , Rohit Kumar Shukla , Levan Chotorlishvili , Sunil Kumar Mishra

We study Majorana chain with the shortest possible interaction term and in the presence of hoping alternation. When formulated in terms of spins the model corresponds to the transverse field Ising model with nearest-neighbor transverse and…

Strongly Correlated Electrons · Physics 2023-08-14 Natalia Chepiga , Nicolas Laflorencie

Topological phases of matter that depend for their existence on interactions are fundamentally interesting and potentially useful as platforms for future quantum computers. Despite the multitude of theoretical proposals the only…

Mesoscale and Nanoscale Physics · Physics 2015-09-02 D. I. Pikulin , Ching-Kai Chiu , Xiaoyu Zhu , M. Franz

To pinpoint the microscopic mechanism for superconductivity has proven to be one of the most outstanding challenges in the physics of correlated quantum matter. Thus far, the most direct evidence for an electronic pairing mechanism is the…

Superconductivity · Physics 2015-01-29 Mathias S. Scheurer , Jörg Schmalian

We extend Mode-Coupling Theory (MCT) to inhomogeneous situations, relevant for supercooled liquid in pores, close to a surface, or in an external field. We compute the response of the dynamical structure factor to a static inhomogeneous…

Statistical Mechanics · Physics 2009-11-11 Giulio Biroli , Jean-Philippe Bouchaud , Kunimasa Miyazaki , David R. Reichman

We study theoretically the topological quantum phase transition in Cavity QED lattice. We predict the condition for non-topological phase to the topological phase transition conditions for three different model Hamiltonians in cavity QED…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Chandan GN , N. Banerjee , Sujit Sarkar

The Kitaev model exhibits a Quantum Spin Liquid hosting emergent fractionalized excitations. We study the Kitaev model on the honeycomb lattice coupled to a magnetic field along the [111] axis. Utilizing large scale matrix product based…

Strongly Correlated Electrons · Physics 2018-12-06 Matthias Gohlke , Roderich Moessner , Frank Pollmann

The spin liquid phase is one of the prominent strongly interacting topological phases of matter whose unambiguous confirmation is yet to be reached despite intensive experimental efforts on numerous candidate materials. Recently, a new…

Strongly Correlated Electrons · Physics 2018-05-10 Andrei Catuneanu , Youhei Yamaji , Gideon Wachtel , Yong Baek Kim , Hae-Young Kee

A general inequality between entanglement entropy and a number of topologically ordered states is derived, even without using the properties of the parent Hamiltonian or the formalism of topological quantum field theory. Given a quantum…

Quantum Physics · Physics 2013-10-03 Isaac H. Kim

We demonstrate topological characterization of $S=\frac{1}{2}$ Kitaev quantum spin liquids on a series of one-dimensional honeycomb nanoribbon lattices with zigzag and armchair terminated edges. We draw their Majorana spinon phase diagrams…

Strongly Correlated Electrons · Physics 2023-06-21 Ryuto Tadokoro , Shoji Yamamoto

Chains of magnetic atoms placed on the surface of an s-wave superconductor with large spin-orbit coupling provide a promising platform for the realization of topological superconducting states characterized by the presence of Majorana…

Superconductivity · Physics 2016-01-20 Junhua Zhang , Younghyun Kim , E. Rossi , Roman M. Lutchyn

Topological quantum computations can be implemented with local Majorana zero modes. To simplify manipulations, one can use Majorana edge states in gapped two-dimensional systems. Here we demonstrate how this approach can be used for a…

Quantum Physics · Physics 2023-02-21 Igor Timoshuk , Yuriy Makhlin

We present an analytical solution for the full spectrum of Kitaev's one-dimensional p-wave superconductor with arbitrary hopping, pairing amplitude and chemical potential in the case of an open chain. We also discuss the structure of the…

Mesoscale and Nanoscale Physics · Physics 2018-04-12 Iman Mahyaeh , Eddy Ardonne

One-dimensional superlattices with periodic spatial modulations of onsite potentials or tunneling coefficients can exhibit a variety of properties associated with topology or symmetry. Recent developments of ring-shaped optical lattices…

Quantum Gases · Physics 2018-02-21 Yan He , Kevin Wright , Said Kouachi , Chih-Chun Chien

Finite-length one-dimensional topological superconductor wires host localized Majorana zero modes at their ends. In realistic models, these appear only after a topological quantum critical point is crossed by external tuning of parameters.…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 William S. Cole , Jay D. Sau , S. Das Sarma

Criticality-based quantum sensing exploits hypersensitive response to system parameters near phase transition points. This work uncovers two metrological advantages offered by topological phase transitions when the probe is prepared as…

Quantum Physics · Physics 2025-12-30 Xingjian He , Aoqian Shi , Jianjun Liu , Jiangbin Gong

Most studies of non-trivial topological systems are carried out in non-interacting models that admit an exact solution. This raises the question, to which extent the consideration of electronic correlations and disorder, present in real…

Strongly Correlated Electrons · Physics 2024-11-12 A. C. P. Lima , M. S. Figueira , Mucio A. Continentino

Periodically driven quantum many-body systems support anomalous topological phases of matter, which cannot be realized by static systems. In many cases, these anomalous phases can be many-body localized, which implies that they are stable…

Mesoscale and Nanoscale Physics · Physics 2019-06-14 I. C. Fulga , M. Maksymenko , M. T. Rieder , N. H. Lindner , E. Berg